EX-4.01





 Exhibit 4.01 

DESCRIPTION OF UNITS OF 

LIMITED PARTNERSHIP INTEREST 

The following description summarizes certain terms of units of limited partnership interest of Managed Futures Premier
Graham L.P. (the “Partnership”). As of December 31, 2019, the Partnership had three classes of limited partnership interest units registered under Section 12 of the Securities Exchange Act of 1934, as amended: A, D, and Z.

 This description does not purport to be complete and is qualified in its entirety by reference to the Eighth
Amended and Restated Limited Partnership Agreement of the Partnership, dated as of December 1, 2017 (the “Partnership Agreement”), as amended or restated from time to time, which is incorporated by reference as an exhibit to the
Annual Report on Form 10-K of which this Exhibit is a part. We encourage you to read the Partnership Agreement and the applicable provisions of Delaware law for additional information. 

Capitalized terms used but not defined herein shall have the meaning ascribed to them in the Annual Report on Form 10-K to which this Description of Units of Limited Partnership Interest is attached as an exhibit. 

Description of the Units 

Units of limited partnership interest (the “Units”) are offered as of the first day of each month (a
“Subscription Date”) at the final net asset value per Unit as of the last day of the immediately preceding month (the “Valuation Date”). Depending on the aggregate amount invested in the Partnership, limited partners receive
either Class A, D, or Z Units in the Partnership. Class Z Units are offered to investors who receive advisory services from Morgan Stanley Wealth Management and certain employees of Morgan Stanley and/or its subsidiaries (and their family
members). Each of Class A, D, and Z Units of the Partnership have the same investment exposure and rights except for the amount of the ongoing placement agent fee charged to each Class of Units; however, Class Z Units are not subject
to an ongoing placement agent fee. 
 Distributions 

No distributions have been made by the Partnership since it commenced trading operations on March 1, 1999. The General
Partner has sole discretion to decide what distributions, if any, will be made to limited partners. The General Partner does not intend to declare distributions in the foreseeable future. 

Redemptions 

Generally, a limited partner may redeem some or all of his or her Units as of the last business day of any month (a
“Redemption Date”) by requesting that his or her financial advisor or private wealth advisor provide a request for redemption to the General Partner by no later than 3:00 p.m. New York City time, on the third business day before the end of
the month, at the final net asset value per Unit on the Redemption Date. 
 The General Partner may, in its sole discretion,
permit redemptions by limited partners in any amount at any time. There are no redemption charges. The General Partner endeavors to pay all redemptions within 10 business days after the applicable Redemption Date. The General Partner may suspend
redemptions in certain circumstances. 
 Conversions 

Generally, limited partners (other than limited partners holding Class Z Units) will receive a Class of Unit in the
Partnership according to the aggregate subscription amount made by such limited partner, as adjusted for additional subscriptions, redemptions and exchanges. 
  

			
	 Class of Units
	  	 Aggregate Investment

	 A
	  	 Up to $4,999,999

	 D
	  	 $5,000,000 and above

	 Z
	  	 All














 As of the close of business on the last day of each month during each fiscal
year, each limited partner’s Units will be converted to the appropriate Class of Units, based on the aggregate capital contributions made by such limited partner, adjusted for additional subscriptions, redemptions and exchanges. A limited
partner’s Units will not be converted to a different Class of Units based upon the performance of the Partnership. Each such conversion of Units will be converted at net asset value per Unit of each Class as of the last day of each
month and is subject to the terms and restrictions described in the Partnership Agreement. Except in certain limited circumstances, limited partners holding Class Z Units will not be converted to Class A or D Units. 

Exchanges 

Limited partners may redeem their Units in the Partnership on a Redemption Date and use the proceeds to purchase units in any
other commodity pool operated by the General Partner and accepting subscriptions on the following subscription date; provided that such limited partners meet the suitability criteria for the other commodity pool and have redeemed their Units
according to the Partnership Agreement. In order to effect an exchange, limited partners must send a Subscription and Exchange Agreement and Power of Attorney to their financial advisor or private wealth advisor, and that agreement must be forwarded
by the Morgan Stanley Wealth Management branch office and be received by the General Partner by 3:00 p.m., New York City time, on the third business day before the end of the month, although the General Partner may accept Subscription and Exchange
Agreements and Power of Attorney forms at other times in its sole discretion. 
 If the commodity pool in which limited
partners are receiving units through an exchange offers different classes of units based upon subscription amount, for purposes of determining which Class of units such limited partners will receive, the aggregate amount exchanged will be
valued at the previous month’s Valuation Date. 
 Restrictions on Transfers or Assignments 

While a limited partner may transfer or assign his or her Units, the transferee or assignee may not become a limited partner
without the written consent of the General Partner. A limited partner may only withdraw capital or profits from the Partnership by redeeming Units. The General Partner may withdraw any portion of its interest in the Partnership that exceeds the
amount required under the Partnership Agreement without prior notice to or consent of the limited partners. In addition, the General Partner may withdraw or assign its entire interest in the Partnership if it gives 120 days’ prior written
notice to the limited partners. 
 Any transfer or assignment of Units by a limited partner will take effect at the end of
the month in which the transfer or assignment is made, subject to the following conditions. The General Partner is not required to recognize a transfer or assignment until it has received at least 30 days’ prior written notice from the limited
partner. The notice must be signed by the limited partner and include the address and social security or taxpayer identification number of the transferee or assignee and the number of Units transferred or assigned. A transfer or assignment of less
than all Units held by a limited partner cannot occur if as a result either party to the transfer or assignment would own fewer than the minimum number of Units required for an investment in the Partnership (subject to certain exceptions relating to
gifts, death, divorce, or transfers to family members or affiliates). The General Partner will not permit a transfer or assignment of Units unless it is satisfied that the transfer or assignment would not be in violation of Delaware law or
applicable federal, state, or foreign securities laws; and notwithstanding such transfer or assignment, the Partnership will continue to be classified as a partnership rather than as an association taxable as a corporation under the Code. No
transfer or assignment of Units will be effective or recognized by the Partnership if the transfer or assignment would result in the termination of the Partnership for U.S. federal income tax purposes, and any attempt to transfer or assign Units in
violation of the Partnership Agreement will be ineffective. 
 Voting Rights 

Amendments; Meetings 

The Partnership Agreement may be amended by the General Partner and by limited partners owning more than 50% of the Units. No
amendment may be made to the Partnership Agreement without the consent of all limited partners affected if that amendment would reduce the capital account of any limited partner, modify the percentage of profits, losses, or distributions to which
any limited partner is entitled, or change or alter the provisions of the Limited Partnership Agreement relating to amendments requiring the consent of all limited partners. Limited partners owning at least 10% of the Units may request a meeting to
consider any matters upon which limited partners may vote. 












 At any meeting of the limited partners, the following actions may be taken
upon the affirmative vote of limited partners owning more than 50% of the Units: (i) amend the Partnership Agreement; (ii) dissolve the Partnership; (iii) remove and replace the General Partner; (iv) elect a new general partner
or general partners if the General Partner terminates or liquidates or elects to withdraw from the Partnership, or becomes insolvent, bankrupt or is dissolved; (v) terminate any contract with the General Partner or any of its affiliates on 60
days’ prior written notice; and (vi) approve the sale of all or substantially all of the assets of the Partnership. 

Any of the foregoing actions may also be taken by limited partners without a meeting, without prior notice, and without a
vote, by means of written consents signed by limited partners owning the required number of Units. 
 Removal of General Partner 

The General Partner may be replaced as the general partner of the Partnership upon receipt of a notice setting forth an
election to replace the General Partner (and a new general partner is elected by a vote of the limited partners owning more than 50% of the Units then outstanding, and such new general partner shall have elected to continue the business of the
Partnership), by limited partners holding not less than a majority of the Units, with or without cause, which notice shall be sent by registered mail to the General Partner not less than 90 days prior to the effective date of such replacement. 

Dissolution of Trading Vehicle; Removal of Managing Member/General Partner of Trading Vehicle 

To the extent that the Partnership, as an investor in any investment vehicle, affiliated with Morgan Stanley, the purpose of
which is to facilitate trading Partnership assets with one or more trading advisors (each, a “trading vehicle”), may vote to remove the managing member, general partner or other managing entity of such trading vehicle pursuant to
flow-through voting rights set forth in the trading vehicle’s organizational documents, the Partnership will vote its interests in the trading vehicle following a vote by the limited partners (excluding any entity that directly or indirectly
controls, is controlled by or is under common control with the General Partner and their respective employees) at a meeting called by the limited partners. 

To the extent that a trading vehicle’s organizational documents provide for such flow-through voting rights, a majority
of Units may elect to submit such matter to a vote of the beneficial owners of the investors in such trading vehicle.