Document:

EX-10.4

 Exhibit 10.4 

POSEIDA THERAPEUTICS, INC. 

2020 EMPLOYEE STOCK PURCHASE PLAN 

ADOPTED BY THE BOARD OF DIRECTORS:
JULY 1, 2020 
 APPROVED BY THE STOCKHOLDERS:
JULY 1, 2020 
  

	1.	 GENERAL; PURPOSE. 

(a) The Plan provides a means by which Eligible Employees of the Company and certain designated Related Corporations may be given an
opportunity to purchase shares of Common Stock. The Plan permits the Company to grant a series of Purchase Rights to Eligible Employees under an Employee Stock Purchase Plan. 

(b) The Company, by means of the Plan, seeks to retain the services of such Employees, to secure and retain the services of new
Employees and to provide incentives for such persons to exert maximum efforts for the success of the Company and its Related Corporations. 
  

	2.	 ADMINISTRATION. 

(a) The Board will administer the Plan unless and until the Board delegates administration of the Plan to a Committee or Committees, as
provided in Section 2(c). 
 (b) The Board will have the power, subject to, and within the limitations of, the express
provisions of the Plan: 
 (i) To determine how and when Purchase Rights will be granted and the provisions of each Offering (which
need not be identical). 
 (ii) To designate from time to time which Related Corporations of the Company will be eligible to
participate in the Plan. 
 (iii) To construe and interpret the Plan and Purchase Rights, and to establish, amend and revoke rules
and regulations for its administration. The Board, in the exercise of this power, may correct any defect, omission or inconsistency in the Plan, in a manner and to the extent it deems necessary or expedient to make the Plan fully effective. 

(iv) To settle all controversies regarding the Plan and Purchase Rights granted under the Plan. 

(v) To suspend or terminate the Plan at any time as provided in Section 12. 

(vi) To amend the Plan at any time as provided in Section 12. 

(vii) Generally, to exercise such powers and to perform such acts as it deems necessary or expedient to promote the best interests of
the Company and its Related Corporations and to carry out the intent that the Plan be treated as an Employee Stock Purchase Plan. 

(viii) To adopt such procedures and sub-plans as are necessary or appropriate to permit
participation in the Plan by Employees who are foreign nationals or employed outside the United States. 

  
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 (c) The Board may delegate some or all of the administration of the Plan to a
Committee or Committees. If administration is delegated to a Committee, the Committee will have, in connection with the administration of the Plan, the powers theretofore possessed by the Board that have been delegated to the Committee, including
the power to delegate to a subcommittee any of the administrative powers the Committee is authorized to exercise (and references to the Board in this Plan and in any applicable Offering Document will thereafter be to the Committee or subcommittee),
subject, however, to such resolutions, not inconsistent with the provisions of the Plan, as may be adopted from time to time by the Board. The Board may retain the authority to concurrently administer the Plan with the Committee and may, at any
time, revest in the Board some or all of the powers previously delegated. Whether or not the Board has delegated administration of the Plan to a Committee, the Board will have the final power to determine all questions of policy and expediency that
may arise in the administration of the Plan. 
 (d) All determinations, interpretations and constructions made by the Board in good
faith will not be subject to review by any person and will be final, binding and conclusive on all persons. 
  

	3.	 SHARES OF COMMON STOCK SUBJECT
TO THE PLAN. 

 (a) Subject to the provisions of Section 11(a)
relating to Capitalization Adjustments, the maximum number of shares of Common Stock that may be issued under the Plan will not exceed 615,000 shares of Common Stock, plus the number of shares of Common Stock that are automatically added on January
1st of each year for a period of up to ten years, commencing on the first January 1 following the IPO Date and ending on (and including) January 1, 2030, in an amount equal to the lesser of (i) 1.0% of the total number of shares of Common
Stock outstanding on December 31st of the preceding calendar year, and (ii) 1,230,000 shares of Common Stock. Notwithstanding the foregoing, the Board may act prior to the first day of any calendar year to provide that there will be no January 1st increase in the share reserve for such calendar year or that the increase in the share reserve for such calendar year will be a lesser number of shares of Common Stock than would otherwise occur
pursuant to the preceding sentence. 
 (b) If any Purchase Right granted under the Plan terminates without having been exercised in
full, the shares of Common Stock not purchased under such Purchase Right will again become available for issuance under the Plan. 

(c) The stock purchasable under the Plan will be shares of authorized but unissued or reacquired Common Stock, including shares
repurchased by the Company on the open market. 
  

	4.	 GRANT OF PURCHASE RIGHTS;
OFFERING. 

 (a) The Board may from time to time grant or provide for the grant of Purchase
Rights to Eligible Employees under an Offering (consisting of one or more Purchase Periods) on an Offering Date or Offering Dates selected by the Board. Each Offering will be in such form and will contain such terms and conditions as the Board will
deem appropriate, and will comply with the requirement of Section 423(b)(5) of the Code that all Employees granted Purchase Rights will have the same rights and privileges. The terms and conditions of an Offering shall be incorporated by
reference into the Plan and treated as part of the Plan. The provisions of separate Offerings need not be identical, but each Offering will include (through incorporation of the provisions of this Plan by reference in the document comprising the
Offering or otherwise) the period during which the Offering will be effective, which period will not exceed 27 months beginning with the Offering Date, and the substance of the provisions contained in Sections 5 through 8, inclusive. 

  
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 (b) If a Participant has more than one Purchase Right outstanding under the Plan,
unless he or she otherwise indicates in forms delivered to the Company: (i) each form will apply to all of his or her Purchase Rights under the Plan, and (ii) a Purchase Right with a lower exercise price (or an earlier-granted Purchase
Right, if different Purchase Rights have identical exercise prices) will be exercised to the fullest possible extent before a Purchase Right with a higher exercise price (or a later-granted Purchase Right if different Purchase Rights have identical
exercise prices) will be exercised. 
 (c) The Board will have the discretion to structure an Offering so that if the Fair Market
Value of a share of Common Stock on the first Trading Day of a new Purchase Period within that Offering is less than or equal to the Fair Market Value of a share of Common Stock on the Offering Date for that Offering, then (i) that Offering
will terminate immediately as of that first Trading Day, and (ii) the Participants in such terminated Offering will be automatically enrolled in a new Offering beginning on the first Trading Day of such new Purchase Period. 

 

	5.	 ELIGIBILITY. 

(a) Purchase Rights may be granted only to Employees of the Company or, as the Board may designate in accordance with Section 2(b),
to Employees of a Related Corporation. Except as provided in Section 5(b), an Employee will not be eligible to be granted Purchase Rights unless, on the Offering Date, the Employee has been in the employ of the Company or the Related
Corporation, as the case may be, for such continuous period preceding such Offering Date as the Board may require, but in no event will the required period of continuous employment be equal to or greater than two years. In addition, the Board may
provide that no Employee will be eligible to be granted Purchase Rights under the Plan unless, on the Offering Date, such Employee’s customary employment with the Company or the Related Corporation is more than 20 hours per week and more than
five months per calendar year or such other criteria as the Board may determine consistent with Section 423 of the Code. 
 (b)
The Board may provide that each person who, during the course of an Offering, first becomes an Eligible Employee will, on a date or dates specified in the Offering which coincides with the day on which such person becomes an Eligible Employee or
which occurs thereafter, receive a Purchase Right under that Offering, which Purchase Right will thereafter be deemed to be a part of that Offering. Such Purchase Right will have the same characteristics as any Purchase Rights originally granted
under that Offering, as described herein, except that: 
 (i) the date on which such Purchase Right is granted will be the
“Offering Date” of such Purchase Right for all purposes, including determination of the exercise price of such Purchase Right; 

(ii) the period of the Offering with respect to such Purchase Right will begin on its Offering Date and end coincident with the end of
such Offering; and 
 (iii) the Board may provide that if such person first becomes an Eligible Employee within a specified period of
time before the end of the Offering, he or she will not receive any Purchase Right under that Offering. 
 (c) No Employee will be
eligible for the grant of any Purchase Rights if, immediately after any such Purchase Rights are granted, such Employee owns stock possessing five percent or more of the total combined voting power or value of all classes of stock of the Company or
of any Related Corporation. For purposes of this Section 5(c), the rules of Section 424(d) of the Code will apply in determining the stock ownership of any Employee, and stock which such Employee may purchase under all outstanding Purchase
Rights and options will be treated as stock owned by such Employee. 

  
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 (d) As specified by Section 423(b)(8) of the Code, an Eligible Employee may be
granted Purchase Rights only if such Purchase Rights, together with any other rights granted under all Employee Stock Purchase Plans of the Company and any Related Corporations, do not permit such Eligible Employee’s rights to purchase stock of
the Company or any Related Corporation to accrue at a rate which, when aggregated, exceeds $25,000 of Fair Market Value of such stock (determined at the time such rights are granted, and which, with respect to the Plan, will be determined as of
their respective Offering Dates) for each calendar year in which such rights are outstanding at any time. 
 (e) Officers of the
Company and any designated Related Corporation, if they are otherwise Eligible Employees, will be eligible to participate in Offerings under the Plan. Notwithstanding the foregoing, the Board may provide in an Offering that Employees who are highly
compensated Employees within the meaning of Section 423(b)(4)(D) of the Code will not be eligible to participate. 
  

	6.	 PURCHASE RIGHTS; PURCHASE PRICE.

 (a) On each Offering Date, each Eligible Employee, pursuant to an Offering made under the Plan, will be
granted a Purchase Right to purchase up to that number of shares of Common Stock purchasable either with a percentage or with a maximum dollar amount, as designated by the Board, but in either case not exceeding 15% of such Employee’s earnings
(as defined by the Board in each Offering) during the period that begins on the Offering Date (or such later date as the Board determines for a particular Offering) and ends on the date stated in the Offering, which date will be no later than the
end of the Offering. 
 (b) The Board will establish one or more Purchase Dates during an Offering on which Purchase Rights granted
for that Offering will be exercised and shares of Common Stock will be purchased in accordance with such Offering. 
 (c) In
connection with each Offering made under the Plan, the Board may specify (i) a maximum number of shares of Common Stock that may be purchased by any Participant on any Purchase Date during such Offering, (ii) a maximum aggregate number of
shares of Common Stock that may be purchased by all Participants pursuant to such Offering and/or (iii) a maximum aggregate number of shares of Common Stock that may be purchased by all Participants on any Purchase Date under the Offering. If
the aggregate purchase of shares of Common Stock issuable upon exercise of Purchase Rights granted under the Offering would exceed any such maximum aggregate number, then, in the absence of any Board action otherwise, a pro rata (based on each
Participant’s accumulated Contributions) allocation of the shares of Common Stock available will be made in as nearly a uniform manner as will be practicable and equitable. 

(d) The purchase price of shares of Common Stock acquired pursuant to Purchase Rights will be not less than the lesser of: 

(i) an amount equal to 85% of the Fair Market Value of the shares of Common Stock on the Offering Date; or 

(ii) an amount equal to 85% of the Fair Market Value of the shares of Common Stock on the applicable Purchase Date. 

 

	7.	 PARTICIPATION; WITHDRAWAL; TERMINATION.

 (a) An Eligible Employee may elect to participate in an Offering and authorize payroll deductions as the
means of making Contributions by completing and delivering to the Company, within the time specified in the Offering, an enrollment form provided by the Company. The enrollment form will specify the amount of Contributions not to exceed the maximum
amount specified by the Board. Each Participant’s Contributions will be credited to a bookkeeping account for such Participant under the Plan and will be deposited with the general funds of the Company except where applicable law requires that

  
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Contributions be deposited with a third party. If permitted in the Offering, a Participant may begin such Contributions with the first practicable payroll occurring on or after the Offering Date
(or, in the case of a payroll date that occurs after the end of the prior Offering but before the Offering Date of the next new Offering, Contributions from such payroll will be included in the new Offering). If permitted in the Offering, a
Participant may thereafter reduce (including to zero) or increase his or her Contributions. If specifically provided in the Offering, in addition to or instead of making Contributions by payroll deductions, a Participant may make Contributions
through the payment by cash or check prior to a Purchase Date. 
 (b) During an Offering, a Participant may cease making
Contributions and withdraw from the Offering by delivering to the Company a withdrawal form provided by the Company. The Company may impose a deadline before a Purchase Date for withdrawing. Upon such withdrawal, such Participant’s Purchase
Right in that Offering will immediately terminate and the Company will distribute as soon as practicable to such Participant all of his or her accumulated but unused Contributions and such Participant’s Purchase Right in that Offering shall
thereupon terminate. A Participant’s withdrawal from that Offering will have no effect upon his or her eligibility to participate in any other Offerings under the Plan, but such Participant will be required to deliver a new enrollment form to
participate in subsequent Offerings. 
 (c) Unless otherwise required by applicable law, Purchase Rights granted pursuant to any
Offering under the Plan will terminate immediately if the Participant either (i) is no longer an Employee for any reason or for no reason (subject to any post-employment participation period required by law) or (ii) is otherwise no longer
eligible to participate. The Company will distribute to such individual as soon as practicable all of his or her accumulated but unused Contributions. 

(d) During a Participant’s lifetime, Purchase Rights will be exercisable only by such Participant. Purchase Rights are not
transferable by a Participant, except by will, by the laws of descent and distribution, or, if permitted by the Company, by a beneficiary designation as described in Section 10. 

(e) Unless otherwise specified in the Offering or required by applicable law, the Company will have no obligation to pay interest on
Contributions. 
  

	8.	 EXERCISE OF PURCHASE RIGHTS.

 (a) On each Purchase Date, each Participant’s accumulated Contributions will be applied to the purchase
of shares of Common Stock, up to the maximum number of shares of Common Stock permitted by the Plan and the applicable Offering, at the purchase price specified in the Offering. No fractional shares will be issued unless specifically provided for in
the Offering. 
 (b) Unless otherwise provided in the Offering, if any amount of accumulated Contributions remains in a
Participant’s account after the purchase of shares of Common Stock and such remaining amount is less than the amount required to purchase one share of Common Stock on the final Purchase Date of an Offering, then such remaining amount will be
held in such Participant’s account for the purchase of shares of Common Stock under the next Offering under the Plan, unless such Participant withdraws from or is not eligible to participate in such next Offering, in which case such amount will
be distributed to such Participant after the final Purchase Date without interest (unless the payment of interest is otherwise required by applicable law). If the amount of Contributions remaining in a Participant’s account after the purchase
of shares of Common Stock is at least equal to the amount required to purchase one (1) whole share of Common Stock on the final Purchase Date of an Offering, then such remaining amount will be distributed in full to such Participant after the
final Purchase Date of such Offering without interest. 

  
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 (c) No Purchase Rights may be exercised to any extent unless the shares of Common
Stock to be issued upon such exercise under the Plan are covered by an effective registration statement pursuant to the Securities Act and the Plan is in material compliance with all applicable federal, state, foreign and other securities and other
laws applicable to the Plan. If on a Purchase Date the shares of Common Stock are not so registered or the Plan is not in such compliance, no Purchase Rights will be exercised on such Purchase Date, and the Purchase Date will be delayed until the
shares of Common Stock are subject to such an effective registration statement and the Plan is in material compliance, except that the Purchase Date will in no event be more than 6 months from the Offering Date. If, on the Purchase Date, as delayed
to the maximum extent permissible, the shares of Common Stock are not registered and the Plan is not in material compliance with all applicable laws, no Purchase Rights will be exercised and all accumulated but unused Contributions will be
distributed to the Participants without interest. 
  

	9.	 COVENANTS OF THE COMPANY.

 The Company will seek to obtain from each U.S. federal or state, foreign or other regulatory commission or agency
having jurisdiction over the Plan such authority as may be required to grant Purchase Rights and issue and sell shares of Common Stock thereunder unless the Company determines, in its sole discretion, that doing so would cause the Company to incur
costs that are unreasonable. If, after commercially reasonable efforts, the Company is unable to obtain the authority that counsel for the Company deems necessary for the grant of Purchase Rights or the lawful issuance and sale of Common Stock under
the Plan, and at a commercially reasonable cost, the Company will be relieved from any liability for failure to grant Purchase Rights and/or to issue and sell Common Stock upon exercise of such Purchase Rights. 

 

	10.	 DESIGNATION OF BENEFICIARY. 

(a) The Company may, but is not obligated to, permit a Participant to submit a form designating a beneficiary who will receive any
shares of Common Stock and/or Contributions from the Participant’s account under the Plan if the Participant dies before such shares and/or Contributions are delivered to the Participant. The Company may, but is not obligated to, permit the
Participant to change such designation of beneficiary. Any such designation and/or change must be on a form approved by the Company. 

(b) If a Participant dies, and in the absence of a valid beneficiary designation, the Company will deliver any shares of Common Stock
and/or Contributions to the executor or administrator of the estate of the Participant. If no executor or administrator has been appointed (to the knowledge of the Company), the Company, in its sole discretion, may deliver such shares of Common
Stock and/or Contributions without interest (unless the payment of interest is otherwise required by applicable law) to the Participant’s spouse, dependents or relatives, or if no spouse, dependent or relative is known to the Company, then to
such other person as the Company may designate. 
  

	11.	 ADJUSTMENTS UPON CHANGES IN
COMMON STOCK; CORPORATE TRANSACTIONS. 

 (a) In the
event of a Capitalization Adjustment, the Board will appropriately and proportionately adjust: (i) the class(es) and maximum number of securities subject to the Plan pursuant to Section 3(a), (ii) the class(es) and maximum number of
securities by which the share reserve is to increase automatically each year pursuant to Section 3(a), (iii) the class(es) and number of securities subject to, and the purchase price applicable to outstanding Offerings and Purchase Rights, and
(iv) the class(es) and number of securities that are the subject of the purchase limits under each ongoing Offering. The Board will make these adjustments, and its determination will be final, binding and conclusive. 

  
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 (b) In the event of a Corporate Transaction, then: (i) any surviving corporation
or acquiring corporation (or the surviving or acquiring corporation’s parent company) may assume or continue outstanding Purchase Rights or may substitute similar rights (including a right to acquire the same consideration paid to the
stockholders in the Corporate Transaction) for outstanding Purchase Rights, or (ii) if any surviving or acquiring corporation (or its parent company) does not assume or continue such Purchase Rights or does not substitute similar rights
for such Purchase Rights, then the Participants’ accumulated Contributions will be used to purchase shares of Common Stock within ten business days prior to the Corporate Transaction under the outstanding Purchase Rights, and the Purchase
Rights will terminate immediately after such purchase. 
  

	12.	 AMENDMENT, TERMINATION OR SUSPENSION
OF THE PLAN. 

 (a) The Board may amend the Plan at any time in any
respect the Board deems necessary or advisable. However, except as provided in Section 11(a) relating to Capitalization Adjustments, stockholder approval will be required for any amendment of the Plan for which stockholder approval is required
by applicable law or listing requirements. 
 (b) The Board may suspend or terminate the Plan at any time. No Purchase Rights may be
granted under the Plan while the Plan is suspended or after it is terminated. 
 (c) Any benefits, privileges, entitlements and
obligations under any outstanding Purchase Rights granted before an amendment, suspension or termination of the Plan will not be materially impaired by any such amendment, suspension or termination except (i) with the consent of the person to
whom such Purchase Rights were granted, (ii) as necessary to comply with any laws, listing requirements, or governmental regulations (including, without limitation, the provisions of Section 423 of the Code and the regulations and other
interpretive guidance issued thereunder relating to Employee Stock Purchase Plans) including without limitation any such regulations or other guidance that may be issued or amended after the date the Plan is adopted by the Board, or (iii) as
necessary to obtain or maintain favorable tax, listing, or regulatory treatment. To be clear, the Board may amend outstanding Purchase Rights without a Participant’s consent if such amendment is necessary to ensure that the Purchase Right
and/or the Plan complies with the requirements of Section 423 of the Code. 
 Notwithstanding anything in the Plan or any Offering
Document to the contrary, the Board will be entitled to: (i) establish the exchange ratio applicable to amounts withheld in a currency other than U.S. dollars; (ii) permit Contributions in excess of the amount designated by a Participant
in order to adjust for mistakes in the Company’s processing of properly completed Contribution elections; (iii) establish reasonable waiting and adjustment periods and/or accounting and crediting procedures to ensure that amounts applied
toward the purchase of Common Stock for each Participant properly correspond with amounts withheld from the Participant’s Contributions; (iv) amend any outstanding Purchase Rights or clarify any ambiguities regarding the terms of any
Offering to enable the Purchase Rights to qualify under and/or comply with Section 423 of the Code; and (v) establish other limitations or procedures as the Board determines in its sole discretion advisable that are consistent with the
Plan. The actions of the Board pursuant to this paragraph will not be considered to alter or impair any Purchase Rights granted under an Offering as they are part of the initial terms of each Offering and the Purchase Rights granted under each
Offering. 
  

	13.	 EFFECTIVE DATE OF PLAN.

 The Plan will become effective immediately prior to and contingent upon the IPO Date. No Purchase Rights will be
exercised unless and until the Plan has been approved by the stockholders of the Company, which approval must be within 12 months before or after the date the Plan is adopted (or if required under Section 12(a) above, materially amended) by the
Board. 

  
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	14.	 MISCELLANEOUS PROVISIONS. 

(a) Proceeds from the sale of shares of Common Stock pursuant to Purchase Rights will constitute general funds of the Company. 

(b) A Participant will not be deemed to be the holder of, or to have any of the rights of a holder with respect to, shares of Common
Stock subject to Purchase Rights unless and until the Participant’s shares of Common Stock acquired upon exercise of Purchase Rights are recorded in the books of the Company (or its transfer agent). 

(c) The Plan and Offering do not constitute an employment contract. Nothing in the Plan or in the Offering will in any way alter the at
will nature of a Participant’s employment or be deemed to create in any way whatsoever any obligation on the part of any Participant to continue in the employ of the Company or a Related Corporation, or on the part of the Company or a Related
Corporation to continue the employment of a Participant. 
 (d) The provisions of the Plan will be governed by the laws of the State
of Delaware without resort to that state’s conflict of laws rules. 
  

	15.	 DEFINITIONS. 

As used in the Plan, the following definitions will apply to the capitalized terms indicated below: 

(a) “Board” means the Board of Directors of the Company. 

(b) “Capitalization Adjustment” means any change that is made in, or other events that occur with respect to,
the Common Stock subject to the Plan or subject to any Purchase Right after the date the Plan is adopted by the Board without the receipt of consideration by the Company through merger, consolidation, reorganization, recapitalization,
reincorporation, stock dividend, dividend in property other than cash, large nonrecurring cash dividend, stock split, liquidating dividend, combination of shares, exchange of shares, change in corporate structure or other similar equity
restructuring transaction, as that term is used in Financial Accounting Standards Board Accounting Standards Codification Topic 718 (or any successor thereto). Notwithstanding the foregoing, the conversion of any convertible securities of the
Company will not be treated as a Capitalization Adjustment. 
 (c) “Code” means the Internal Revenue
Code of 1986, as amended, including any applicable regulations and guidance thereunder. 
 (d)
“Committee” means a committee of one or more members of the Board to whom authority has been delegated by the Board in accordance with Section 2(c). 

(e) “Common Stock” means, as of the IPO Date, the common stock of the Company. 

(f) “Company” means Poseida Therapeutics, Inc., a Delaware corporation. 

(g) “Contributions” means the payroll deductions and other additional payments specifically provided for in the
Offering that a Participant contributes to fund the exercise of a Purchase Right. A Participant may make additional payments into his or her account if specifically provided for in the Offering, and then only if the Participant has not already had
the maximum permitted amount withheld during the Offering through payroll deductions. 

  
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 (h) “Corporate Transaction” means the consummation, in a
single transaction or in a series of related transactions, of any one or more of the following events: 
 (i) a sale or other
disposition of all or substantially all, as determined by the Board in its sole discretion, of the consolidated assets of the Company and its subsidiaries; 

(ii) a sale or other disposition of more than 50% of the outstanding securities of the Company; 

(iii) a merger, consolidation or similar transaction following which the Company is not the surviving corporation; or 

(iv) a merger, consolidation or similar transaction following which the Company is the surviving corporation but the shares of Common
Stock outstanding immediately preceding the merger, consolidation or similar transaction are converted or exchanged by virtue of the merger, consolidation or similar transaction into other property, whether in the form of securities, cash or
otherwise. 
 (i) “Director” means a member of the Board. 

(j) “Eligible Employee” means an Employee who meets the requirements set forth in the document(s)
governing the Offering for eligibility to participate in the Offering, provided that such Employee also meets the requirements for eligibility to participate set forth in the Plan. 

(k) “Employee” means any person, including an Officer or Director, who is “employed” for
purposes of Section 423(b)(4) of the Code by the Company or a Related Corporation. However, service solely as a Director, or payment of a fee for such services, will not cause a Director to be considered an “Employee” for purposes of
the Plan. 
 (l) “Employee Stock Purchase Plan” means a plan that grants Purchase Rights intended to
be options issued under an “employee stock purchase plan,” as that term is defined in Section 423(b) of the Code. 

(m) “Exchange Act” means the Securities Exchange Act of 1934, as amended and the rules and regulations
promulgated thereunder. 
 (n) “Fair Market Value” means, as of any date, the value of the Common Stock
determined as follows: 
 (i) If the Common Stock is listed on any established stock exchange or traded on any established market, the
Fair Market Value of a share of Common Stock will be, unless otherwise determined by the Board, the closing sales price for such stock as quoted on such exchange or market (or the exchange or market with the greatest volume of trading in the Common
Stock) on the date of determination, as reported in such source as the Board deems reliable. Unless otherwise provided by the Board, if there is no closing sales price for the Common Stock on the date of determination, then the Fair Market Value
will be the closing sales price on the last preceding date for which such quotation exists. 

  
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 (ii) In the absence of such markets for the Common Stock, the Fair Market Value will
be determined by the Board in good faith in compliance with applicable laws and in a manner that complies with Sections 409A of the Code. 

(iii) Notwithstanding the foregoing, for any Offering that commences on the IPO Date, the Fair Market Value of the shares of Common
Stock on the Offering Date will be the price per share at which the shares are first sold to the public in the Company’s initial public offering as specified in the final prospectus for that initial public offering. 

(o) “IPO Date” means the date of the underwriting agreement between the Company and the underwriter(s)
managing the initial public offering of the Common Stock, pursuant to which the Common Stock is priced for the initial public offering. 

(p) “Offering” means the grant to Eligible Employees of Purchase Rights, with the exercise of those
Purchase Rights automatically occurring at the end of one or more Purchase Periods. The terms and conditions of an Offering will generally be set forth in the “Offering Document” approved by the Board for that Offering. 

(q) “Offering Date” means a date selected by the Board for an Offering to commence. 

(r) “Officer” means a person who is an officer of the Company or a Related Corporation within the
meaning of Section 16 of the Exchange Act. 
 (s) “Participant” means an Eligible Employee who
holds an outstanding Purchase Right. 
 (t) “Plan” means this Poseida Therapeutics, Inc. 2020 Employee
Stock Purchase Plan, as amended from time to time. 
 (u) “Purchase Date” means one or more dates
during an Offering selected by the Board on which Purchase Rights will be exercised and on which purchases of shares of Common Stock will be carried out in accordance with such Offering. 

(v) “Purchase Period” means a period of time specified within an Offering, generally beginning on the Offering
Date or on the first Trading Day following a Purchase Date, and ending on a Purchase Date. An Offering may consist of one or more Purchase Periods. 

(w) “Purchase Right” means an option to purchase shares of Common Stock granted pursuant to the Plan.

 (x) “Related Corporation” means any “parent corporation” or “subsidiary
corporation” of the Company whether now or subsequently established, as those terms are defined in Sections 424(e) and (f), respectively, of the Code. 

(y) “Securities Act” means the Securities Act of 1933, as amended. 

(z) “Subsidiary” means, with respect to the Company, (i) any corporation of which more than fifty percent
(50%) of the outstanding capital stock having ordinary voting power to elect a majority of the board of directors of such corporation (irrespective of whether, at the time, stock of any other class or classes of such corporation will have or might
have voting power by reason of the happening of any contingency) is at the time, directly or indirectly, Owned by the Company, and (ii) any partnership, limited liability company or other entity in which the Company has a direct or indirect
interest (whether in the form 

  
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of voting or participation in profits or capital contribution) of more than fifty percent (50%). For purposes of the foregoing clause (i), the Company will be deemed to “Own” or have
“Owned” such securities if the Company, directly or indirectly, through any contract, arrangement, understanding, relationship or otherwise, has or shares voting power, which includes the power to vote or to direct the voting, with respect
to such securities. 
 (aa) “Trading Day” means any day on which the exchange(s) or market(s) on which
shares of Common Stock are listed, including but not limited to the NYSE, Nasdaq Global Select Market, the Nasdaq Global Market, the Nasdaq Capital Market or any successors thereto, is open for trading. 

  
 11EX-10.5

 Exhibit 10.5 

POSEIDA THERAPEUTICS, INC. 

SEVERANCE AND CHANGE IN CONTROL PLAN 

Section 1. INTRODUCTION. 

The Poseida Therapeutics, Inc. Severance and Change in Control Plan (the “Plan”) is hereby established by the Board of
Directors of Poseida Therapeutics, Inc. (the “Company”) effective upon the IPO Date (as defined below). The purpose of the Plan is to provide for the payment of severance and/or Change in Control (as defined below)
benefits to eligible employees of the Company. This Plan document also is the Summary Plan Description for the Plan. 
 For purposes of the
Plan, the following terms are defined as follows: 
 (a) “Affiliate” means any corporation (other than the
Company) in an “unbroken chain of corporations” beginning with the Company, if each of the corporations other than the last corporation in the unbroken chain owns stock possessing 50% or more of the total combined voting power of all
classes of stock in one of the other corporations in such chain. 
 (b) “Base Salary” means base pay
(excluding incentive pay, premium pay, commissions, overtime, bonuses and other forms of variable compensation) as in effect prior to any reduction that would give rise to an employee’s right to a resignation for Good Reason (if applicable).

 (c) “Cause” means, with respect to a particular employee, the meaning ascribed to such term in any written
employment agreement, offer letter or similar agreement between such employee and the Company defining such term, and, in the absence of such agreement, means with respect to such employee, the term “Cause” as defined in the Equity Plan.
The determination whether a termination is for Cause shall be made by the Plan Administrator in its sole and exclusive judgment and discretion. 

(d) “Change in Control” has the meaning ascribed to such term in the Equity Plan. 

(e) “Change in Control Period” means the period commencing one month prior to the Closing of a Change in
Control and ending 12 months following the Closing of a Change in Control. 
 (f) “Closing” means the initial
closing of the Change in Control as defined in the definitive agreement executed in connection with the Change in Control. In the case of a series of transactions constituting a Change in Control, “Closing” means the first closing that
satisfies the threshold of the definition for a Change in Control. 
 (g) “Code” means the Internal Revenue
Code of 1986, as amended, including any applicable regulations and guidance thereunder. 
 (h) “Committee”
means the Board of Directors or the Compensation Committee of the Board of Directors of the Company. 

 (i) “Company” means Poseida Therapeutics, Inc. or, following
a Change in Control, the surviving entity resulting from such event. 
 (j) “Confidentiality Agreement” means
the Company’s standard form of Proprietary Information and Invention Assignment Agreement or any similar or successor document. 

(k) “Covered Termination” means, with respect to an employee, a termination of employment that is due to
(1) a termination by the Company without Cause (and other than as a result of the employee’s death or Disability) or (2) the employee’s resignation for Good Reason, and in either case of (1) or (2), results in such
employee’s Separation from Service. 
 (l) “Disability” means any physical or mental condition which
renders an employee incapable of performing the work for which he or she was employed by the Company or similar work offered by the Company. The Disability of an employee shall be established if (i) the employee satisfies the requirements
for benefits under the Company’s long-term disability plan or (ii) if no long-term disability plan, the employee satisfies the requirements for Social Security disability benefits. 

(m) “Eligible Employee” means an employee of the Company that meets the requirements to be eligible to receive
Plan benefits as set forth in Section 2. 
 (n) “Equity Plan” means the Poseida Therapeutics, Inc. 2020
Equity Incentive Plan, as amended from time to time. 
 (o) “Good Reason” for an employee’s resignation
means the occurrence of any of the following are undertaken by the Company without the employee’s written consent: 
 (1) a
material reduction in a such employee’s base salary of at least 10% (unless pursuant to a salary reduction program applicable generally to similarly situated employees of the Company); 

(2) relocation of such employee’s principal place of employment with the Company (or successor to the Company, if applicable) to
a place that increases such employee’s one-way commute by more than 50 miles as compared to such employee’s then-current principal place of employment immediately prior to such relocation; 

(3) a material breach by the Company of any provision of this Plan or any other material agreement between such employee and the
Company concerning the terms and conditions of such employee’s employment with the Company; or 
 (4) the assignment to the
employee of any duties or responsibilities which result in the material diminution of the employee’s then-current authority, duties or responsibilities. 

  
 2. 

 Notwithstanding the foregoing, in order for the employee’s resignation to be deemed to
have been for Good Reason, the employee must (a) provide written notice to the Company of such employee’s intent to resign for Good Reason within 30 days after the first occurrence of the event giving rise to Good Reason, which notice
shall describe the event(s) the employee believes give rise to Good Reason; (b) allow the Company at least 30 days from receipt of the written notice to cure the event (such period, the “Cure Period”), and (c) if
the event is not reasonably cured within the Cure Period, the employee’s resignation from all positions held with the Company is effective not later than 30 days after the expiration of the Cure Period. 

(p) “IPO Date” means the date of the underwriting agreement between the Company and the underwriter(s) managing
the initial public offering of the Company’s Common Stock, pursuant to which the Common Stock is priced for the initial public offering. 

(q) “Participation Agreement” means an agreement between an employee and the Company in substantially the form
of APPENDIX A attached hereto, and which may include such other terms as the Committee deems necessary or advisable in the administration of the Plan. 

(r) “Plan Administrator” means the Committee prior to the Closing and the Representative upon and following the
Closing, as applicable. 
 (s) “Representative” means one or more members of the Committee or other persons
or entities designated by the Committee prior to or in connection with a Change in Control that will have authority to administer and interpret the Plan upon and following the Closing as provided in Section 8(a). 

(t) “Section 409A” means Section 409A of the Code and the treasury
regulations and other guidance thereunder and any state law of similar effect. 
 (u) “Separation from
Service” means a “separation from service” within the meaning of Treasury Regulations Section 1.409A-1(h), without regard to any alternative definition thereunder. 

Section 2. ELIGIBILITY FOR BENEFITS. 

(a) Eligible Employee. An employee of the Company is eligible to participate in the Plan if (i) the Plan Administrator has
designated such employee as eligible to participate in the Plan by providing such employee a Participation Agreement; (ii) such employee has signed and returned such Participation Agreement to the Company within the time period required
therein; and (iii) such employee meets the other Plan eligibility requirements set forth in this Section 2. The determination of whether an employee is an Eligible Employee shall be made by the Plan Administrator, in its sole discretion,
and such determination shall be binding and conclusive on all persons. 
 (b) Release Requirement. Except as otherwise
provided in an individual Participation Agreement, in order to be eligible to receive benefits under the Plan, the employee also must execute a general waiver and release, in such a form as provided by the Company (the
“Release”), within the applicable time period set forth therein, and such Release must become effective in accordance with its terms, which must occur in no event more than 60 days following the date of the applicable Covered
Termination. 

  
 3. 

 (c) Plan Benefits Provided In Lieu of Any Previous Benefits. Except as
otherwise provided in an individual Participation Agreement, this Plan shall supersede any change in control or severance benefit plan, policy or practice previously maintained by the Company with respect to an Eligible Employee and any change in
control or severance benefits in any individually negotiated employment contract or other agreement between the Company and an Eligible Employee. Notwithstanding the foregoing, the Eligible Employee’s outstanding equity awards shall remain
subject to the terms of the Equity Plan or other applicable equity plan under which such awards were granted (including the award documentation governing such awards) that may apply upon a Change in Control and/or termination of such employee’s
service and no provision of this Plan shall be construed as to limit the actions that may be taken, or to violate the terms, thereunder. 

(d) Exceptions to Severance Benefit Entitlement. An employee who otherwise is an Eligible Employee will not receive benefits
under the Plan in the following circumstances, as determined by the Plan Administrator in its sole discretion: 
 (1) The employee is
terminated by the Company for any reason (including due to the employee’s death or Disability) or voluntarily terminates employment with the Company in any manner, and in either case, such termination does not constitute a Covered Termination.
Voluntary terminations include, but are not limited to, resignation, retirement or failure to return from a leave of absence on the scheduled date. 

(2) The employee voluntarily terminates employment with the Company in order to accept employment with another entity that is wholly
or partly owned (directly or indirectly) by the Company or an Affiliate. 
 (3) The employee is offered an identical or
substantially equivalent or comparable position with the Company or an Affiliate. For purposes of the foregoing, a “substantially equivalent or comparable position” is one that provides the employee substantially the same level of
responsibility and compensation and would not give rise to the employee’s right to a resignation for Good Reason. 
 (4) The
employee is offered immediate reemployment by a successor to the Company or an Affiliate or by a purchaser of the Company’s assets, as the case may be, following a Change in Control and the terms of such reemployment would not give rise to the
employee’s right to a resignation for Good Reason. For purposes of the foregoing, “immediate reemployment” means that the employee’s employment with the successor to the Company or an Affiliate or the purchaser of its
assets, as the case may be, results in uninterrupted employment such that the employee does not incur a lapse in pay or benefits as a result of the change in ownership of the Company or the sale of its assets. For the avoidance of doubt, an employee
who becomes immediately reemployed as described in this Section 2(d)(4) by a successor to the Company or an Affiliate or by a purchaser of the Company’s assets, as the case may be, following a Change in Control shall continue to be an
Eligible Employee following the date of such reemployment. 

  
 4. 

 (5) The employee is rehired by the Company or an Affiliate and recommences
employment prior to the date severance benefits under the Plan are scheduled to commence. 
 (e) Termination of Severance
Benefits. An Eligible Employee’s right to receive severance benefits under this Plan shall terminate immediately if, at any time prior to or during the period for which the Eligible Employee is receiving severance benefits under the Plan,
the Eligible Employee 
 (1) willfully breaches any material statutory, common law, or contractual obligation to the Company or an
Affiliate (including, without limitation, the contractual obligations set forth in the Confidentiality Agreement and any other confidentiality, non-disclosure and developments agreement, non-competition, non-solicitation, or similar type agreement between the Eligible Employee and the Company, as applicable); 

(2) fails to enter into the terms of the Confidentiality Agreement; or 

(3) without the prior written approval of the Plan Administrator, engages in a Prohibited Action (as defined below). In addition, if
benefits under the Plan have already been paid to Eligible Employee and the Eligible Employee subsequently engages in a Prohibited Action during the Prohibited Period (or it is determined that an Eligible Employee engaged in a Prohibited Action
prior to receipt of such benefits), any benefits previously paid to the Eligible Employee shall be subject to recoupment by the Company on such terms and conditions as shall be determined by the Plan Administrator, in its sole discretion. The
“Prohibited Period” shall commence on the date of the Employee’s Covered Termination and continue for the number of months corresponding to the Severance Period set forth in such Eligible Employee’s Participation
Agreement. A “Prohibited Action” shall occur if the Eligible Employee: (i) breaches a material provision of the Confidentiality Agreement and/or any obligations of confidentiality,
non-solicitation, non-disparagement, no conflicts or non-competition set forth in the Eligible Employee’s employment
agreement, offer letter, any other written agreement between the Eligible Employee and the Company, or under applicable law; (ii) encourages or solicits any of the Company’s then current employees to leave the Company’s employ for any
reason or interferes in any other manner with employment relationships at the time existing between the Company and its then current employees; or (iii) induces any of the Company’s then current clients, customers, suppliers, vendors,
distributors, licensors, licensees, or other third parties to terminate their existing business relationship with the Company or interferes in any other manner with any existing business relationship between the Company and any then current client,
customer, supplier, vendor, distributor, licensor, licensee, or other third parties. 
 Section 3. AMOUNT OF
BENEFITS. 
 (a) Benefits in Participation Agreement. Benefits under the Plan shall be provided to an
Eligible Employee as set forth in the Participation Agreement. 

  
 5. 

 (b) Additional Benefits. Notwithstanding the foregoing, the Committee may, in its
sole discretion, provide benefits to individuals who are not Eligible Employees (“Non-Eligible Employees”) chosen by the Plan Administrator, in its sole discretion, and the provision of any such benefits to a Non-Eligible Employee shall in no way obligate the Company to provide such benefits to any other individual, even if similarly situated. If benefits under the Plan are provided to a
Non-Eligible Employee, references in the Plan to “Eligible Employee” (and similar references) shall be deemed to refer to such Non-Eligible Employee. 

(c) Certain Reductions. In addition to Section 2(e) above, the Company, in its sole discretion, shall have the authority to
reduce an Eligible Employee’s severance benefits, in whole or in part, by any other severance benefits, pay and benefits provided during a period following written notice of a business closing or mass layoff, pay and benefits in lieu of such
notice, or other similar benefits payable to the Eligible Employee by the Company or an Affiliate that become payable in connection with the Eligible Employee’s termination of employment pursuant to (i) any applicable legal requirement,
including, without limitation, the Worker Adjustment and Retraining Notification Act or any other similar state law or (ii) any Company policy or practice providing for the Eligible Employee to remain on the payroll for a limited period of time
after being given notice of the termination of the Eligible Employee’s employment, and the Plan Administrator shall so construe and implement the terms of the Plan. Any such reductions that the Company determines to make pursuant to this
Section 3(c) shall be made such that any severance benefit under the Plan shall be reduced solely by any similar type of benefit under such legal requirement, agreement, policy or practice (i.e., any cash severance benefits under the
Plan shall be reduced solely by any cash payments or severance benefits under such legal requirement, agreement, policy or practice). The Company’s decision to apply such reductions to the severance benefits of one Eligible Employee and the
amount of such reductions shall in no way obligate the Company to apply the same reductions in the same amounts to the severance benefits of any other Eligible Employee. In the Company’s sole discretion, such reductions may be applied on a
retroactive basis, with severance benefits previously paid being re-characterized as payments pursuant to the Company’s statutory obligation. 

(d) Parachute Payments. Except as otherwise provided in an individual Participation Agreement, if any payment or benefit an
Eligible Employee will or may receive from the Company or otherwise (a “Payment”) would (i) constitute a “parachute payment” within the meaning of Section 280G of the Code, and (ii) but for this
sentence, be subject to the excise tax imposed by Section 4999 of the Code (the “Excise Tax”), then any such Payment shall be equal to the Reduced Amount. The “Reduced Amount” shall be either
(x) the largest portion of the Payment that would result in no portion of the Payment (after reduction) being subject to the Excise Tax or (y) the largest portion, up to and including the total, of the Payment, whichever amount (i.e., the
amount determined by clause (x) or by clause (y)), after taking into account all applicable federal, state and local employment taxes, income taxes, and the Excise Tax (all computed at the highest applicable marginal rate), results in the
Eligible Employee’s receipt, on an after-tax basis, of the greater economic benefit notwithstanding that all or some portion of the Payment may be subject to the Excise Tax. If a reduction in a Payment is
required pursuant to the preceding sentence and the Reduced Amount is determined pursuant to clause (x) of the preceding sentence, the reduction shall occur in the manner (the “Reduction Method”) that results in the
greatest economic benefit for the Eligible Employee. If more than one method of reduction will result in the same economic benefit, the items so reduced will be reduced pro rata (the “Pro Rata Reduction Method”). 

  
 6. 

 Notwithstanding any provisions in this Section above to the contrary, if the Reduction
Method or the Pro Rata Reduction Method would result in any portion of the Payment being subject to taxes pursuant to Section 409A that would not otherwise be subject to taxes pursuant to Section 409A, then the Reduction Method and/or the
Pro Rata Reduction Method, as the case may be, shall be modified so as to avoid the imposition of taxes pursuant to Section 409A as follows: (A) as a first priority, the modification shall preserve to the greatest extent possible, the
greatest economic benefit for the Eligible Employee as determined on an after-tax basis; (B) as a second priority, Payments that are contingent on future events (e.g., being terminated without
Cause), shall be reduced (or eliminated) before Payments that are not contingent on future events; and (C) as a third priority, Payments that are “deferred compensation” within the meaning of Section 409A shall be reduced (or
eliminated) before Payments that are not deferred compensation within the meaning of Section 409A. 
 The Company shall appoint a
nationally recognized accounting or law firm to make the determinations required by this Section. The Company shall bear all expenses with respect to the determinations by such accounting or law firm required to be made hereunder. If the Eligible
Employee receives a Payment for which the Reduced Amount was determined pursuant to clause (x) above and the Internal Revenue Service determines thereafter that some portion of the Payment is subject to the Excise Tax, Eligible Employee agrees
to promptly return to the Company a sufficient amount of the Payment (after reduction pursuant to clause (x) above) so that no portion of the remaining Payment is subject to the Excise Tax. For the avoidance of doubt, if the Reduced Amount was
determined pursuant to clause (y) above, the Eligible Employee shall have no obligation to return any portion of the Payment pursuant to the preceding sentence. 

Section 4. RETURN OF COMPANY PROPERTY. 

An Eligible Employee will not be entitled to any severance benefit under the Plan unless and until the Eligible Employee returns all Company
Property. For this purpose, “Company Property” means all paper and electronic Company documents (and all copies thereof) and other Company property which the Eligible Employee had in his or her possession or control at any
time, including, but not limited to, Company files, notes, drawings, records, plans, forecasts, reports, studies, analyses, proposals, agreements, financial information, research and development information, sales and marketing information,
operational and personnel information, specifications, code, software, databases, computer-recorded information, tangible property and equipment (including, but not limited to, computers, facsimile machines, mobile telephones, servers), credit
cards, entry cards, identification badges and keys; and any materials of any kind which contain or embody any proprietary or confidential information of the Company (and all reproductions thereof in whole or in part). As a condition to receiving
benefits under the Plan, an Eligible Employee must not make or retain copies, reproductions or summaries of any such Company documents, materials or property. However, an Eligible Employee is not required to return his or her personal copies of
documents evidencing the Eligible Employee’s hire, termination, compensation, benefits and stock options and any other documentation received as a stockholder of the Company. 

  
 7. 

 Section 5. TIME OF PAYMENT AND
FORM OF BENEFITS. 
 The Company reserves the right in the Participation Agreement to
specify whether payments under the Plan will be paid in a single sum, in installments, or in any other form and to determine the timing of such payments. All such payments under the Plan will be subject to applicable withholding for federal, state,
foreign, provincial and local taxes. All benefits provided under the Plan are intended to satisfy the requirements for an exemption from application of Section 409A to the maximum extent that an exemption is available and any ambiguities herein
shall be interpreted accordingly; provided, however, that to the extent such an exemption is not available, the benefits provided under the Plan are intended to comply with the requirements of Section 409A to the extent necessary to
avoid adverse personal tax consequences and any ambiguities herein shall be interpreted accordingly. 
 It is intended that (i) each
installment of any benefits payable under the Plan to an Eligible Employee be regarded as a separate “payment” for purposes of Treasury Regulations Section 1.409A-2(b)(2)(i), (ii) all payments
of any such benefits under the Plan satisfy, to the greatest extent possible, the exemptions from the application of Section 409A provided under Treasury Regulations Sections 1.409A-1(b)(4), 1.409A-1(b)(5) and 1.409A-1(b)(9)(iii), and (iii) any such benefits consisting of COBRA premiums also satisfy, to the greatest extent possible, the exemption from the
application of Section 409A provided under Treasury Regulations Section 1.409A-1(b)(9)(v). However, if the Company determines that any severance benefits payable under the Plan constitute
“deferred compensation” under Section 409A and the Eligible Employee is a “specified employee” of the Company, as such term is defined in Section 409A(a)(2)(B)(i), then, solely to the extent necessary to avoid the
imposition of the adverse personal tax consequences under Section 409A, (A) the timing of such severance benefit payments shall be delayed until the earlier of (1) the date that is six months and one day after the Eligible
Employee’s Separation from Service and (2) the date of the Eligible Employee’s death (such applicable date, the “Delayed Initial Payment Date”), and (B) the Company shall (1) pay the Eligible Employee
a lump sum amount equal to the sum of the severance benefit payments that the Eligible Employee would otherwise have received through the Delayed Initial Payment Date if the commencement of the payment of the severance benefits had not been delayed
pursuant to this paragraph and (2) commence paying the balance, if any, of the severance benefits in accordance with the applicable payment schedule. 

In no event shall payment of any severance benefits under the Plan be made prior to an Eligible Employee’s Separation from Service or
prior to the effective date of the Release. If the Company determines that any severance payments or benefits provided under the Plan constitute “deferred compensation” under Section 409A, and the Eligible Employee’s Separation
from Service occurs at a time during the calendar year when the Release could become effective in the calendar year following the calendar year in which the Eligible Employee’s Separation from Service occurs, then regardless of when the Release
is returned to the Company and becomes effective, the Release will not be deemed effective, solely for purposes of the timing of payment of severance benefits under this Plan, any earlier than the latest permitted effective date (the
“Release Deadline”). If the Company determines that any severance payments or benefits 

  
 8. 

 
provided under the Plan constitute “deferred compensation” under Section 409A, then except to the extent that severance payments may be delayed until the Delayed Initial Payment
Date pursuant to the preceding paragraph, on the first regular payroll date following the effective date of an Eligible Employee’s Release, the Company shall (1) pay the Eligible Employee a lump sum amount equal to the sum of the severance
benefit payments that the Eligible Employee would otherwise have received through such payroll date but for the delay in payment related to the effectiveness of the Release and (2) commence paying the balance, if any, of the severance benefits
in accordance with the applicable payment schedule. 
 Section 6. TRANSFER AND ASSIGNMENT. 

The rights and obligations of an Eligible Employee under this Plan may not be transferred or assigned without the prior written consent of the
Company. This Plan shall be binding upon any entity or person who is a successor by merger, acquisition, consolidation or otherwise to the business formerly carried on by the Company without regard to whether or not such entity or person actively
assumes the obligations hereunder and without regard to whether or not a Change in Control occurs. 
 Section 7. MITIGATION. 

Except as otherwise specifically provided in the Plan, an Eligible Employee will not be required to mitigate damages or the amount of any
payment provided under the Plan by seeking other employment or otherwise, nor will the amount of any payment provided for under the Plan be reduced by any compensation earned by an Eligible Employee as a result of employment by another employer or
any retirement benefits received by such Eligible Employee after the date of the Eligible Employee’s termination of employment with the Company. 

Section 8. CLAWBACK; RECOVERY. 

All payments and severance benefits provided under the Plan will be subject to recoupment in accordance with any clawback policy that the
Company is required to adopt pursuant to the listing standards of any national securities exchange or association on which the Company’s securities are listed or as is otherwise required by the Dodd-Frank Wall Street Reform and Consumer
Protection Act or other applicable law. In addition, the Plan Administrator may impose such other clawback, recovery or recoupment provisions as the Plan Administrator determines necessary or appropriate, including but not limited to a reacquisition
right in respect of previously acquired shares of common stock of the Company or other cash or property upon the occurrence of a termination of employment for Cause. No recovery of compensation under such a clawback policy will be an event giving
rise to a right to resign for Good Reason, constructive termination, or any similar term under any plan of or agreement with the Company. 

Section 9. RIGHT TO INTERPRET AND ADMINISTER PLAN;
AMENDMENT AND TERMINATION. 
 (a) Interpretation and Administration. Prior to
the Closing, the Committee shall be the Plan Administrator and shall have the exclusive discretion and authority to establish rules, forms, and procedures for the administration of the Plan and to construe and interpret the Plan and to decide any
and all questions of fact, interpretation, definition, computation or 

  
 9. 

 
administration arising in connection with the operation of the Plan, including, but not limited to, the eligibility to participate in the Plan and amount of benefits paid under the Plan. The
rules, interpretations, computations and other actions of the Committee shall be binding and conclusive on all persons. Upon and after the Closing, the Plan will be interpreted and administered in good faith by the Representative who shall be the
Plan Administrator during such period. All actions taken by the Representative in interpreting the terms of the Plan and administering the Plan upon and after the Closing will be final and binding on all Eligible Employees. Any references in this
Plan to the “Committee” or “Plan Administrator” with respect to periods following the Closing shall mean the Representative. 

(b) Amendment. The Plan Administrator reserves the right to amend this Plan at any time; provided, however, that any
amendment of the Plan will not be effective as to a particular employee who is or may be adversely impacted by such amendment or termination and has an effective Participation Agreement without the written consent of such employee. 

(c) Termination. Unless otherwise extended by the Committee, the Plan will automatically terminate following satisfaction of all
the Company’s obligations under the Plan. 
 Section 10. NO IMPLIED EMPLOYMENT
CONTRACT. 
 The Plan shall not be deemed (i) to give any employee or other person any right to be retained in the
employ of the Company or (ii) to interfere with the right of the Company to discharge any employee or other person at any time, with or without cause, which right is hereby reserved. This Plan does not modify the
at-will employment status of any Eligible Employee. 
 Section 11. LEGAL
CONSTRUCTION. 
 This Plan is intended to be governed by and shall be construed in accordance with the Employee Retirement
Income Security Act of 1974 (“ERISA”) and, to the extent not preempted by ERISA, the laws of the State of California. 

Section 12. CLAIMS, INQUIRIES AND APPEALS. 

(a) Applications for Benefits and Inquiries. Any application for benefits, inquiries about the Plan or inquiries about present or
future rights under the Plan must be submitted to the Plan Administrator in writing by an applicant (or his or her authorized representative). The Plan Administrator is: 

Poseida Therapeutics, Inc. 

Compensation Committee of the Board of Directors or Representative 

Attention to: Corporate Secretary 

9390 Towne Centre Drive, Suite 200 

San Diego, California 92121 

(b) Denial of Claims. In the event that any application for benefits is denied in whole or in part, the Plan Administrator must
provide the applicant with written or electronic notice of the denial of the application, and of the applicant’s right to review the denial. Any electronic notice will comply with the regulations of the U.S. Department of Labor. The notice of
denial will be set forth in a manner designed to be understood by the applicant and will include the following: 
 (1) the specific
reason or reasons for the denial; 

  
 10. 

 (2) references to the specific Plan provisions upon which the denial is based; 

(3) a description of any additional information or material that the Plan Administrator needs to complete the review and an
explanation of why such information or material is necessary; and 
 (4) an explanation of the Plan’s review procedures and the
time limits applicable to such procedures, including a statement of the applicant’s right to bring a civil action under Section 502(a) of ERISA following a denial on review of the claim, as described in Section 10(d) below. 

This notice of denial will be given to the applicant within 90 days after the Plan Administrator receives the application, unless special
circumstances require an extension of time, in which case, the Plan Administrator has up to an additional 90 days for processing the application. If an extension of time for processing is required, written notice of the extension will be furnished
to the applicant before the end of the initial 90 day period. 
 This notice of extension will describe the special circumstances
necessitating the additional time and the date by which the Plan Administrator is to render its decision on the application. 
 (c)
Request for a Review. Any person (or that person’s authorized representative) for whom an application for benefits is denied, in whole or in part, may appeal the denial by submitting a request for a review to the Plan Administrator
within 60 days after the application is denied. A request for a review shall be in writing and shall be addressed to: 
 Poseida Therapeutics,
Inc. 
 Compensation Committee of the Board of Directors or Representative 

Attention to: Corporate Secretary 

9390 Towne Centre Drive, Suite 200 

San Diego, California 92121 
 A request for review
must set forth all of the grounds on which it is based, all facts in support of the request and any other matters that the applicant feels are pertinent. The applicant (or his or her representative) shall have the opportunity to submit (or the Plan
Administrator may require the applicant to submit) written comments, documents, records, and other information relating to his or her claim. The applicant (or his or her representative) shall be provided, upon request and free of charge, reasonable
access to, and copies of, all documents, records and other information relevant to his or her claim. The review shall take into account all comments, documents, records and other information submitted by the applicant (or his or her representative)
relating to the claim, without regard to whether such information was submitted or considered in the initial benefit determination. 

  
 11. 

 (d) Decision on Review. The Plan Administrator will act on each request for
review within 60 days after receipt of the request, unless special circumstances require an extension of time (not to exceed an additional 60 days), for processing the request for a review. If an extension for review is required, written notice of
the extension will be furnished to the applicant within the initial 60 day period. This notice of extension will describe the special circumstances necessitating the additional time and the date by which the Plan Administrator is to render its
decision on the review. The Plan Administrator will give prompt, written or electronic notice of its decision to the applicant. Any electronic notice will comply with the regulations of the U.S. Department of Labor. In the event that the Plan
Administrator confirms the denial of the application for benefits in whole or in part, the notice will set forth, in a manner calculated to be understood by the applicant, the following: 

(1) the specific reason or reasons for the denial; 

(2) references to the specific Plan provisions upon which the denial is based; 

(3) a statement that the applicant is entitled to receive, upon request and free of charge, reasonable access to, and copies of, all
documents, records and other information relevant to his or her claim; and 
 (4) a statement of the applicant’s right to bring
a civil action under Section 502(a) of ERISA. 
 (e) Rules and Procedures. The Plan Administrator will establish rules
and procedures, consistent with the Plan and with ERISA, as necessary and appropriate in carrying out its responsibilities in reviewing benefit claims. The Plan Administrator may require an applicant who wishes to submit additional information in
connection with an appeal from the denial of benefits to do so at the applicant’s own expense. 
 (f) Exhaustion of
Remedies. No legal action for benefits under the Plan may be brought until the applicant (i) has submitted a written application for benefits in accordance with the procedures described by Section 10(a) above, (ii) has been
notified by the Plan Administrator that the application is denied, (iii) has filed a written request for a review of the application in accordance with the appeal procedure described in Section 10(c) above, and (iv) has been notified
that the Plan Administrator has denied the appeal. Notwithstanding the foregoing, if the Plan Administrator does not respond to an Eligible Employee’s claim or appeal within the relevant time limits specified in this Section 10, the
Eligible Employee may bring legal action for benefits under the Plan pursuant to Section 502(a) of ERISA. 
 Section 13. BASIS
OF PAYMENTS TO AND FROM PLAN. 
 The Plan shall
be unfunded, and all cash payments under the Plan shall be paid only from the general assets of the Company. 

  
 12. 

 Section 14. OTHER PLAN INFORMATION. 

(a) Employer and Plan Identification Numbers. The Employer Identification Number assigned to the Company (which is the “Plan
Sponsor” as that term is used in ERISA) by the Internal Revenue Service is 47-3898435. The Plan Number assigned to the Plan by the Plan Sponsor pursuant to the instructions of the Internal Revenue Service is
[            ]. 
 (b) Ending Date for Plan’s Fiscal
Year. The date of the end of the fiscal year for the purpose of maintaining the Plan’s records is December 31. 
 (c)
Agent for the Service of Legal Process. The agent for the service of legal process with respect to the Plan is: 
 Poseida
Therapeutics, Inc. 
 Attention to: Corporate Secretary 

9390 Towne Centre Drive, Suite 200 

San Diego, California 92121 
 In addition, service
of legal process may be made upon the Plan Administrator. 
 (d) Plan Sponsor. The “Plan Sponsor” is: 

Poseida Therapeutics, Inc. 
 9390
Towne Centre Drive, Suite 200 
 San Diego, California 92121 

(858) 779-3100 

(e) Plan Administrator. The Plan Administrator is the Committee prior to the Closing and the Representative upon and following
the Closing. The Plan Administrator’s contact information is: 
 Poseida Therapeutics, Inc. 

Compensation Committee of the Board of Directors or Representative 

9390 Towne Centre Drive, Suite 200 

San Diego, California 92121 
 The Plan
Administrator is the named fiduciary charged with the responsibility for administering the Plan. 
 Section 15. STATEMENT
OF ERISA RIGHTS. 
 Participants in this Plan (which is a welfare benefit plan sponsored by Poseida
Therapeutics, Inc.) are entitled to certain rights and protections under ERISA. If you are an Eligible Employee, you are considered a participant in the Plan and, under ERISA, you are entitled to: 

(a) Receive Information About Your Plan and Benefits 

  
 13. 

 (1) Examine, without charge, at the Plan Administrator’s office and at other
specified locations, such as worksites, all documents governing the Plan and a copy of the latest annual report (Form 5500 Series), if applicable, filed by the Plan with the U.S. Department of Labor and available at the Public Disclosure Room of the
Employee Benefits Security Administration; 
 (2) Obtain, upon written request to the Plan Administrator, copies of documents
governing the operation of the Plan and copies of the latest annual report (Form 5500 Series), if applicable, and an updated (as necessary) Summary Plan Description. The Administrator may make a reasonable charge for the copies; and 

(3) Receive a summary of the Plan’s annual financial report, if applicable. The Plan Administrator is required by law to furnish
each Eligible Employee with a copy of this summary annual report. 
 (b) Prudent Actions by Plan Fiduciaries. In addition to
creating rights for Plan Eligible Employees, ERISA imposes duties upon the people who are responsible for the operation of the employee benefit plan. The people who operate the Plan, called “fiduciaries” of the Plan, have a duty to do so
prudently and in the interest of you and other Eligible Employees and beneficiaries. No one, including your employer, your union or any other person, may fire you or otherwise discriminate against you in any way to prevent you from obtaining a Plan
benefit or exercising your rights under ERISA. 
 (c) Enforce Your Rights. If your claim for a Plan benefit is denied or
ignored, in whole or in part, you have a right to know why this was done, to obtain copies of documents relating to the decision without charge, and to appeal any denial, all within certain time schedules. 

Under ERISA, there are steps you can take to enforce the above rights. For instance, if you request a copy of Plan documents or the latest
annual report from the Plan, if applicable, and do not receive them within 30 days, you may file suit in a Federal court. In such a case, the court may require the Plan Administrator to provide the materials and pay you up to $110 a day until you
receive the materials, unless the materials were not sent because of reasons beyond the control of the Plan Administrator. 
 If you have a
claim for benefits which is denied or ignored, in whole or in part, you may file suit in a state or Federal court. 
 If you are
discriminated against for asserting your rights, you may seek assistance from the U.S. Department of Labor, or you may file suit in a Federal court. The court will decide who should pay court costs and legal fees. If you are successful, the court
may order the person you have sued to pay these costs and fees. If you lose, the court may order you to pay these costs and fees, for example, if it finds your claim is frivolous. 

(d) Assistance with Your Questions. If you have any questions about the Plan, you should contact the Plan Administrator. If you
have any questions about this statement or about your rights under ERISA, or if you need assistance in obtaining documents from the Plan Administrator, you should contact the nearest office of the Employee Benefits Security Administration, U.S.
Department of Labor, listed in your telephone directory or the Division of 

  
 14. 

 
Technical Assistance and Inquiries, Employee Benefits Security Administration, U.S. Department of Labor, 200 Constitution Avenue N.W., Washington, D.C. 20210. You may also obtain certain
publications about your rights and responsibilities under ERISA by calling the publications hotline of the Employee Benefits Security Administration. 

  
 15. 

 APPENDIX A 

PARTICIPATION AGREEMENT 

 APPENDIX A 

PARTICIPATION AGREEMENT 

Name: ___________________ 
 Section 1.
ELIGIBILITY. 
 You have been designated as eligible to participate in the Poseida Therapeutics, Inc. Severance and Change
in Control Plan (the “Plan”), a copy of which is attached to this Participation Agreement (the “Participation Agreement”). Capitalized terms not explicitly defined in this Participation Agreement but
defined in the Plan shall have the same definitions as in the Plan. You will receive the benefits set forth below if you meet all the eligibility requirements set forth in the Plan, including, without limitation, executing the required Release
within the applicable time period set forth therein and allowing such Release to become effective in accordance with its terms. Notwithstanding the schedule for provision of benefits as set forth below, the schedule and timing of payment of any
benefits under this Participant Agreement is subject to any delay in payment that may be required under Section 5 of the Plan. 
 Section 2.
CHANGE IN CONTROL SEVERANCE BENEFITS. 
 If you are terminated
in a Covered Termination that occurs during the Change in Control Period, you will receive the severance benefits set forth in this Section 2. All severance benefits described herein are subject to standard deductions and withholdings. 

(a) Base Salary. You shall receive a cash payment in an amount equal to
[______]1 months (the “Severance Period”) of payment of your Base Salary. The Base Salary payment will be paid to you in a lump sum cash payment no later than the second
regular payroll date following the later of (i) the effective date of the Release or (ii) the Closing, but in any event not later than March 15 of the year following the year in which your Separation from Service occurs. 

(b) Bonus Payment. You will be entitled to the annual target cash bonus established for you, if any, pursuant to the annual
performance bonus or annual variable compensation plan established by the Board of Directors or Committee (or any authorized committee or designee thereof) for the year in which your Covered Termination occurs. If at the time of the Covered
Termination you are eligible for the annual target cash bonus for the year in which the Covered Termination occurs, but the target percentage (or target dollar amount, if specified as such in the applicable bonus plan) for such bonus has not yet
been established for such year, the target percentage shall be the target percentage established for you for the preceding year (but adjusted, if necessary for your position for the year in which the Covered Termination occurs). For the avoidance of
doubt, the amount of the annual target bonus to which you are entitled under this Section 2(b) will be calculated (1) assuming all articulated performance goals for such bonus (including, but not limited to, corporate and individual
performance, if applicable), for the year of the Covered Termination was achieved at target levels; (2) as if you had provided services for the entire year for which the bonus relates; and (3) ignoring any reduction in your Base Salary
that 
  

	1 	 Insert 18 months for CEO, 12 months for C-Suite, 9 months for SVP level
and 6 months for VP level. 

 
would give rise to your right to resignation for Good Reason (such bonus to which you are entitled under this Section 2(b), the “Annual Target Bonus Severance
Payment”). The Annual Target Bonus Severance Payment shall be paid in a lump sum cash payment no later than the second regular payroll date following the later of (i) the effective date of the Release or (ii) the Closing, but
in any event not later than March 15 of the year following the year in which your Separation from Service occurs. 
 (c)
Payment of Continued Group Health Plan Benefits. If you timely elect continued group health plan continuation coverage under the Consolidated Omnibus Budget Reconciliation Act of 1985 (“COBRA”) following your Covered
Termination date, the Company shall pay directly to the carrier the full amount of your COBRA premiums on behalf of you for your continued coverage under the Company’s group health plans, including coverage for your eligible dependents, until
the earliest of (i) the end of the Severance Period following the date of your Covered Termination, (ii) the expiration of your eligibility for the continuation coverage under COBRA, or (iii) the date when you become eligible for
substantially equivalent health insurance coverage in connection with new employment (such period from your termination date through the earliest of (i) through (iii), the “COBRA Payment Period”). Upon the conclusion of
such period of insurance premium payments made by the Company, you will be responsible for the entire payment of premiums (or payment for the cost of coverage) required under COBRA for the duration of your eligible COBRA coverage period, if any. For
purposes of this Section, (1) references to COBRA shall be deemed to refer also to analogous provisions of state law and (2) any applicable insurance premiums that are paid by the Company shall not include any amounts payable by you under
an Internal Revenue Code Section 125 health care reimbursement plan, which amounts, if any, are your sole responsibility. You agree to promptly notify the Company as soon as you become eligible for health insurance coverage in connection with
new employment or self-employment. 
 Notwithstanding the foregoing, if at any time the Company determines, in its sole discretion, that it
cannot provide the COBRA premium benefits without potentially incurring financial costs or penalties under applicable law (including, without limitation, Section 2716 of the Public Health Service Act), then in lieu of paying COBRA premiums
directly to the carrier on your behalf, the Company will instead pay you on the last day of each remaining month of the COBRA Payment Period a fully taxable cash payment equal to the value of your monthly COBRA premium for the first month of COBRA
coverage, subject to applicable tax withholding (such amount, the “Special Severance Payment”), such Special Severance Payment to be made without regard to your election of COBRA coverage or payment of COBRA premiums and
without regard to your continued eligibility for COBRA coverage during the COBRA Payment Period. Such Special Severance Payment shall end upon expiration of the COBRA Payment Period. 

(d) Equity Acceleration. The vesting and exercisability of each outstanding unvested stock option and other stock award, as
applicable, that you hold covering Company common stock as of the date of your Covered Termination (each, an “Equity Award”) that is subject to time-vesting shall be accelerated in full and any reacquisition or repurchase
rights held by the Company in respect of Company common stock issued pursuant to any time-vesting Equity Award granted to you shall lapse in full. To the extent your Covered Termination occurs prior to the Change in Control, the acceleration set
forth in this Section 2(d) shall be contingent and effective upon the Change in Control and your Equity Awards will remain outstanding following your Covered Termination to give effect to such acceleration as necessary. For the avoidance of
doubt, any Equity Awards subject to performance-vesting shall vest and become exercisable according to their individual award agreements. 

 (e) [Extension of Post-Termination Exercise Period. All outstanding Equity
Awards which carry a right to exercise that you hold as of the date of your Covered Termination will expire on the earlier of (A) the original term of such outstanding Equity Awards as set forth in the applicable award agreement or the equity
incentive plan, subject to earlier termination in the event of a Change in Control as set forth in the terms of the applicable equity incentive plan and definitive agreement for such Change in Control transaction, and (B) the date which is 24
months following your Covered Termination.]2 
 Section 3.
NON-CHANGE IN CONTROL SEVERANCE BENEFITS. If you are terminated in a Covered Termination that
occurs at a time that is not during the Change in Control Period, you will receive: 
 (a) the base salary cash payment
described in Section 2(a) above, but the Severance Period for purposes of calculating such benefits shall be [______]3 months; and 

(b) the COBRA benefits described in Section 2(c) above, but the Severance Period for purposes of calculating such benefits shall
be [______]4 months. 
 You shall not be eligible to receive any other benefits under the Plan except
as described in Section 2(a) and Section 2(c) above. 
 For the avoidance of doubt, in no event shall you be entitled to benefits under both
Section 2 and this Section 3. If you are eligible for severance benefits under both Section 2 and this Section 3, you shall receive the benefits set forth in Section 2 and such benefits shall be reduced by any benefits
previously provided to you under Section 3. 
 Section 4. CHANGE IN CONTROL
ACCELERATION UPON ACQUIROR’S FAILURE TO ASSUME, CONTINUE OR SUBSTITUTE. If
(i) in connection with a Change in Control, any outstanding unvested Equity Award that you hold will not be assumed or continued by the successor or acquiror entity (or its parent company) in such Change in Control or substituted for a similar
award of the successor or acquiror entity (or its parent company) (a “Terminating Award”) and (ii) your continued employment with the Company has not terminated as of immediately prior to the effective time of such
Change in Control, then you will become vested, with respect to any then unvested portion of such Terminating Award, effective immediately prior to, but subject to the consummation of such Change in Control. With respect to any such outstanding
Terminating Award that is subject to performance-vesting, unless otherwise provided in the individual grant notice and award agreement evidencing such award, such performance-vesting award will accelerate vesting at 100% of the target level. For the
avoidance of doubt, the benefits under this Section 4 are contingent on a Change in Control and do not require your Covered Termination or other termination of service. In addition, you may be eligible for benefits under this Section 4 in
addition to benefits under Section 2 or Section 3 and in such case, you shall receive benefits under both sections, without duplication. 

 

	2 	 Insert bracketed provision for CEO. 

	3 	 Insert 12 months for CEO, 9 months for C-Suite, 6 months for SVP level
and 3 months for VP level. 

	4 	 Insert 12 months for CEO, 9 months for C-Suite, 6 months for SVP level
and 3 months for VP level. 

 Section 5. ACKNOWLEDGEMENTS; INTERACTION WITH
PRIOR BENEFITS. 
 As a condition to participation in the Plan, you hereby acknowledge each of the
following: 
 (a) The benefits that may be provided to you under this Participation Agreement are subject to certain reductions and
termination under Section 2 and Section 3 of the Plan. 
 (b) Your eligibility for and receipt of any severance benefits to
which you may become entitled as described in Section 2 or Section 3 above is expressly contingent upon your execution of and compliance with the terms and conditions of the Plan, the Release and the Confidentiality Agreement. Severance
benefits under this Participation Agreement shall immediately cease in the event of your violation of the provisions of Confidentiality Agreement or any other written agreement with the Company. 

(c) As further described in Section 2(c) of the Plan, this Participation Agreement and the Plan supersede and replace any change
in control or severance benefits previously provided to you, including but not limited to any benefits under your employment or other written agreement or plan, [except that Section 7 of your Executive Employment Agreement with the Company
dated June 1, 2015 shall continue in full force and effect and supersede Section 3(d) of the Plan]5 and by executing below you expressly agree to such treatment. 

To accept the terms of this Participation Agreement and participate in the Plan, please sign and date this Agreement in the space provided below and return it
to _____________________ no later than _________, ____. 
  

			
	Poseida Therapeutics, Inc.

			
		
	By:	 	 

			
	
	                                    
        
	
	                                    
        

  

			
	Eligible Employee
		
	 	 	 
	[Insert Name]
		
	Date:	 	 

  
  

 

	5 	 Insert bracketed provision for CEO.

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