SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C.  20549

                                    FORM 10-K

                   Annual Report Pursuant to Section 13 or 15(d)
                      of the Securities Exchange Act of 1934

                             For the fiscal year ended
                                 December 31, 1988

                         Commission file number:  333-53115

                     FIRST BOSTON MORTGAGE SECURITIES CORP.
     as Depositor (the "Depositor"), Ameristar Financial Corporation, as
     Master Servicer (the "Master Servicer"), and Security Pacific National
     Bank as trustee (the "Trustee") under the Pooling and Servicing Agreement,
     dated as of November 1, 1988, providing for the issuance of the Conduit
     Mortgage Pass-Through Certificates, Series 1988-4).


                     First Boston Mortgage Securities Corp.,
          Conduit Mortgage Pass-Through Certificates, Series 1988-4
           (Exact name of Registrant as specified in its Charter)


           DELAWARE                                    13-332-0910
           (State or other jurisdiction                (I.R.S. Employer
           incorporation or organization)              Identification Number)

           c/o The First Boston Corporation
           Park Avenue Plaza
           New York, New York                               10055
           (Address of principal executive offices)    (Zip Code)

     Registrant's telephone number, including area code:  (212)909-2000

     Securities registered pursuant to Section 12(b) of the Act:
                               NOT APPLICABLE.

     Securities registered pursuant to Section 12(g) of the Act:
                               NOT APPLICABLE.

     Indicate by check mark whether the Depositor (1) has filed all
     reports required to be filed by Section 13 or 15(d) of the
     Securities Exchange Act of 1934 during the preceding 12 months
     (or for such shorter period that the Depositor was required to
     file such reports), and (2) has been subject to such filing
     requirements for the past 90 days.  Yes  X  No

     Indicate by check mark if disclosure of delinquent filers
     pursuant to Item 405 of Regulation S-K is not contained herein,
     and will not be contained, to the best of the Depositor's
     knowledge, in definitive proxy or information statements
     incorporated by reference in Part III of the Form 10-K or any
     amendment to this Form 10-K.  [  ].

     Aggregate market value of voting stock held by non-affiliates of
     the Depositor as of December 31, 1988:  NOT APPLICABLE.

     Number of shares of common stock outstanding as of December 31, 1988:
     NOT APPLICABLE.

     DOCUMENTS INCORPORATED BY REFERENCE

     Documents in Part I and Part IV incorporated herein by reference
     are as follows:

     Pooling and Servicing Agreement of Registrant dated as of November 1, 1988
     (hereby incorporated herein by reference as part of the Registrant's
     Current Report on Form 8-K filed with Securities and Exchange Commission
     on February 9, 1999.


     Documents in Part II and Part IV incorporated herein by reference
     are as follows:

     Monthly Remittance Statement to the Certificateholders as to distributions
     made on December 27, 1988, and filed with the Securities and Exchange
     Commission on Form 8-K on February 9, 1999.


     PART I

     ITEM 1.  Business.

     The trust fund relating to Pooling and Servicing Agreement dated as of
     November 1, 1988 (the "Pooling and Servicing Agreement") among First
     Boston Mortgage Securities Corp., as Depositor (the "Depositor"),
     Ameristar Financial Corporation as master servicer, (the "Master
     "Servicer"), and Security Pacific National Bank, as trustee (the
     "Trustee").

      The Conduit Mortgage Pass-Through Certificates, Series 1988-4 will be
      comprised of Class A Certificates and Class B Certificates, which
      will consist of two subclasses, the Class B-1 Certificates and the
      Class B-2 Certificates (collectively, the "Certificates").  The Class
      A Certificates will represent interests in the Master Trust Fund
      described herein which consists of Subsidiary Regular Interests (as
      defined in the Prospectus Supplement dated October 19, 1988) which in
      the aggregate represent an interest in a pool (the "Mortgage Pool")
      of adjustable rate conventional mortgage loans secured by first
      mortgages or deeds of trust on one- to four- unit residential
      properties (the "Mortgage Loans") originated or acquired by
      AmeriStar Financial Corporation ("AmeriStar"), and certain other
      property held in trust for the benefit of the Certificateholders.
      The Mortgage Loans will be sold to First Boston Mortgage Securities
      Corp. (the "Depositor") on or prior to the date of initial issuance
      of the Certificates and will be transferred to a trust pursuant to
      the Pooling and Servicing Agreement dated as of November 1, 1988 by
      the Depositor in exchange for the Certificates.  AmeriStar will act
      as Master Servicer.

      The Class A Certificates will evidence an initial interest of 
      approximately 91.25% in the Mortgage Loans.  The remaining interest
      in the Mortgage Loans will be evidenced by the Class B Certificates.
      The rights of the Class B Certificateholders to receive distributions
      with respect to the Mortgage Loans are subordinated to the rights of
      the Class A Certificateholders to the extent described in the
      Prospectus Supplement and in the Prospectus.  In addition, the Class
      A Certificateholders will be entitled to receive a
      disproportionately greater percentage of Principal Prepayments (as
      defined in the Prospectus Supplement) and other payments with respect
      to the Mortgage Loans, as described herein.  See "Description of the
      Certificates- Distributions" and "-Subordination of the Class B
      Certificates; Shifting Interest Credit Enhancement" in the Prospectus
      Supplement and "Credit Support- Subordinated Certificates" in the
      Prospectus.

     Information with respect to the business of the Trust would not be
     meaningful because the only "business" of the Trust is the collection on
     the Mortgage Loans and distribution of payments on the Certificates to
     Certificateholders. This information is accurately summarized in the
     Monthly Reports to Certificateholders, which are filed on Form 8-K.  There
     is no additional relevant information to report in response to Item 101 of
     Regulation S-K.

     ITEM 2.  Properties.

     The Depositor owns no property.  The First Boston Mortgage Securities
     Corp., Conduit Mortgage Pass-Through Certificates, Series 1988-4, in the
     aggregate, represent the beneficial ownership in a Trust consisting
     primarily of the Mortgage Loans.  The Trust will acquire title to real
     estate only upon default of the mortgagors under the Mortgage Loan.
     Therefore, this item is inapplicable.

     ITEM 3.  Legal Proceedings.

     None.

     ITEM 4.  Submission of Matters to a Vote of Security Holders.

     No matters were submitted to a vote of Certificateholders during the
     fiscal year covered by this report.


     PART II

     ITEM 5.  Market for Depositor's Common Equity and Related Stockholder
     Matters.

     The First Boston Mortgage Securities Corp., Conduit Mortgage Pass-Through
     Certificates, Series 1988-4 represent, in the aggregate, the beneficial
     ownership in a trust fund consisting primarily of the Mortgage Loans.
     The Certificates are owned by Certificateholders as trust beneficiaries.
     Strictly speaking, Depositor has no "common equity," but for purposes of
     this Item only, Depositor's Conduit Mortgage Pass-Through Certificates
     are treated as "common equity."

     (a)  Market Information.  There is no established public trading market
     for Depositor's Notes.  Depositor believes the Notes are traded
     primarily in intra-dealer markets and non-centralized inter-dealer
     markets.

     (b)  Holders.  The number of registered holders of all classes of
     Certificates on (for dates see ITEM 12(a)) was 2.

     (c)  Dividends.  Not applicable.  The information regarding dividend
     required by sub-paragraph (c) of Item 201 of Regulation S-K is
     inapplicable because the Trust does not pay dividends.  However,
     information as to distribution to Certificateholders is provided in the
     Monthly Reports to Certificateholders for each month of the fiscal year in
     which a distribution to Certificateholders was made.

     ITEM 6.  Selected Financial Data.

     Not Applicable.  Because of the limited activities of the Trust, the
     Selected Financial Data required by Item 301 of Regulation S-K does not
     add relevant information to that provided by the Monthly Reports to
     Certificateholders, which are filed on a monthly basis on Form 8-K.

     ITEM 7.  Management's Discussion and Analysis of Financial Condition and
     Results of Operations.

     Not Applicable.  The information required by Item 303 of Regulation S-K
     is inapplicable because the Trust does not have management per se, but
     rather the Trust has a Trustee who causes the preparation of the Monthly
     Reports to Certificateholders.  The information provided by the Monthly
     Reports to Certificateholders, which are filed on a monthly basis on Form
     8-K, does provide the relevant financial information regarding the
     financial status of the Trust.

     ITEM 8.  Financial Statements and Supplementary Data.

     Monthly Remittance Statement to the Certificateholders as to distributions
     made on December 27, 1988, and filed with the Securities and Exchange
     Commission on Form 8-K on February 9, 1999.

     Annual Statement of Compliance by the Master Servicer is not
     currently available and will be subsequently filed on Form 8.

     Independent Accountant's Report on Servicer's will be subsequently filed
     on Form 8.

     ITEM 9.  Changes in and Disagreements with Accountants on Accounting and
     Financial Disclosure.

     None.


     PART III

     ITEM 10.  Directors and Executive Officers of Depositor.

     Not Applicable.  The Trust does not have officers or directors.
     Therefore, the information required by items 401 and 405 of Regulation S-K
     are inapplicable.

     ITEM 11.  Executive Compensation.

     Not Applicable.  The Trust does not have officers or directors to whom
     compensation needs to be paid.  Therefore, the information required by
     item 402 of regulation S-K is inapplicable.

     ITEM 12.  Security Ownership of Certain Beneficial Owners and
     Management.

     (a)  Security ownership of certain beneficial owners.  Under the
     Pooling and Servicing Agreement governing the Trust, the holders of the
     Certificates generally do not have the right to vote and are prohibited
     from taking part in management of the Trust.  For purposes of this Item
     and Item 13 only, however, the Certificateholders are treated as "voting
     security" holders.

      As of the dates indicated below, the following are the only persons known
      to the Depositor to be the beneficial owners of more than 5% of
      any class of voting securities:

	As of 12/3/91:
	Bank Western, A FSB
	FBS Treasury Dept. MPFP 1404
	First Bank Place
	Attn:  Ruth Nelson
	601 Second Ave. South
	Minneapolis, MN  55402-4302
	Series 1988-4
	Class A
	$64,879,159.12
	95.0%

     (b)  Security ownership of management.  Not Applicable.  The Trust does
     not have any officers or directors.  Therefore, the information required
     by Item 403 of Regulation S-K is inapplicable.

     (c)  Changes in control.  Not Applicable.  Since Certificateholders do not
     possess, directly or indirectly, the power to direct or cause the
     direction of the management and policies of the Trust, other than in
     respect to certain required consents regarding any amendments to the
     Pooling and Servicing Agreement, the information requested with respect to
     item 403 of Regulation S-K is inapplicable.

     ITEM 13.  Certain Relationships and Related Transactions.

     (a)  Transactions with management and others.  Depositor knows of no
     transaction or series of transactions during the fiscal year ended
     December 31, 1988, or any currently proposed transaction or series of
     transactions, in an amount exceeding $60,000 involving the Depositor in
     which the Certificateholders identified in Item 12(a) had or will have a
     direct or indirect material interest.  There are no persons of the types
     described in Item 404(a)(1),(2) and (4) of Regulation S-K, however, the
     information required by Item 404(a)(3) of Regulation S-K is hereby
     incorporated by reference in Item 12 herein.

     (b)  Certain business relationships.  None.

     (c)  Indebtedness of management. Not Applicable.  The Trust does not have
     management consisting of any officers or directors.  Therefore, the
     information required by item 404 of Regulation S-K is inapplicable.

     (d)  Transactions with promoters.  Not Applicable.  The Trust does not
     use promoters.  Therefore, the information required by item 404 of
     Regulation S-K is inapplicable.


     PART IV

     ITEM 14.  Exhibits, Financial Statement Schedules, and Reports on
     Form 8-K.

     (a)  The following is a list of documents filed as part of this report:

     EXHIBITS

     Monthly Remittance Statement to the Certificateholders as to distributions
     made on December 27, 1988, and filed with the Securities and Exchange
     Commission on Form 8-K on February 9, 1999.

     Annual Statement of Compliance by the Master Servicer is not
     currently available and will be subsequently filed on Form 8.

     Independent Accountant's Report on Servicer's servicing
     activities is not currently available and will be subsequently
     filed on Form 8.

     (b)  The following Reports on Form 8-K were filed during the last
     quarter of the period covered by this Report:

     Monthly Remittance Statement to the Certificateholders as to distributions
     made on December 27, 1988, and filed with the Securities and Exchange
     Commission on Form 8-K on February 9, 1999.

     (c)  The exhibits required to be filed by Depositor pursuant to Item 601
     of Regulation S-K are listed above and in the Exhibit Index that
     immediately follows the signature page hereof.

     (d)  Not Applicable.  The Trust does not have any subsidiaries or
     affiliates.  Therefore, no financial statements are filed with respect to
     subsidiaries or affiliates.

     Supplemental information to be furnished with reports filed pursuant to
     Section 15(d) by Depositors which have not registered securities
     pursuant to Section 12 of the Act.

     No annual report, proxy statement, form of proxy or other soliciting
     material has been sent to Certificateholders, and the Depositor does not
     contemplate sending any such materials subsequent to the filing of this
     report.


                                     SIGNATURE

     Pursuant to the requirements of Section 13 or 15(d) of the
     Securities Exchange Act of 1934, the Depositor has duly caused
     this report to be signed on its behalf by the undersigned,
     thereunto duly authorized.

                        By:  Bankers Trust Company of California, N.A.
                             not in its individual capacity but solely
                             as a duly authorized agent of the
                             Registrant pursuant to the Pooling and
                             Servicing Agreement, dated as of November 1, 1988.


          By:  /s/Judy L. Gomez
               Judy L. Gomez
               Assistant Vice President


     Date:  March 3, 1999


     EXHIBIT INDEX

     Exhibit Document

     1.1  Monthly Remittance Statement to the Certificateholders as to
          distributions made on December 27, 1988, and filed with the
          Securities and Exchange Commission on Form 8-K on February 9, 1999.

     1.2  The Pooling and Servicing Agreement of the Registrant dated as of
          November 1, 1988 (hereby incorporated herein by reference and filed
          as part of the Registrant's Current Report on Form 8-K filed with
          Securities and Exchange Commission on February 9, 1999.