WITTER DEAN CORNERSTONE FUND IV
10-Q, 1998-08-11
REAL ESTATE INVESTMENT TRUSTS
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                         UNITED STATES
               SECURITIES AND EXCHANGE COMMISSION
                     Washington, D.C. 20549

                           FORM 10-Q

[X]   Quarterly  report pursuant to Section 13 or  15(d)  of  the
Securities Exchange Act of 1934
For the quarterly period ended June 30, 1998 or

[  ]   Transition report pursuant to Section 13 or 15(d)  of  the
Securities Exchange Act of 1934
For the transition period _________________to______________.

Commission File Number 0-15442
                                
                DEAN WITTER CORNERSTONE FUND IV
  (Exact name of registrant as specified in its charter)


                 New   York                            13-3393597
(State or other jurisdiction of              (I.R.S. Employer
incorporation  or organization)                    Identification
No.)


c/o Demeter Management Corporation
Two   World  Trade  Center,  62  Fl.,  New  York,  NY       10048
(Address of principal executive offices)             (Zip Code)


Registrant's telephone number, including area code (212) 392-5454

(Former  name, former address, and former fiscal year, if changed
since last report)


Indicate  by check-mark whether the registrant (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 registrant was required  to
file  such  reports),  and (2) has been subject  to  such  filing
requirements for the past 90 days.

Yes    X            No
                                
                                
                                
                                
                                
                                
                                
                                
<PAGE>
<TABLE>
                 DEAN WITTER CORNERSTONE FUND IV

             INDEX TO QUARTERLY REPORT ON FORM 10-Q

                         June 30, 1998

<CAPTION>
PART I. FINANCIAL INFORMATION
<S>                                                          <C>
Item 1. Financial Statements

   Statements of Financial Condition
   June 30, 1998 (Unaudited) and December 31, 1997............2

   Statements of Operations for the Quarters Ended
   June 30, 1998 and 1997 (Unaudited).........................3

   Statements of Operations for the Six Months Ended
   June 30, 1998 and 1997 (Unaudited).........................4

   Statements of Changes in Partners' Capital for the
   Six Months Ended June 30, 1998 and 1997
   (Unaudited)................................................5

   Statements of Cash Flows for the Six Months Ended
   June 30, 1998 and 1997 (Unaudited).........................6

   Notes to Financial Statements (Unaudited)...............7-11

Item 2. Management's Discussion and Analysis of Financial

Condition and Results of Operations...............12-17

PART II. OTHER INFORMATION

Item 1.  Legal Proceedings...................................18

Item 2.  Changes in Securities and Use of Proceeds........18-19

Item 6.  Exhibits and Reports on Form 8-K....................20




</TABLE>








<PAGE>
<TABLE>
                 PART I.  FINANCIAL INFORMATION

ITEM 1.  Financial Statements

                DEAN WITTER CORNERSTONE FUND IV
               STATEMENTS OF FINANCIAL CONDITION
<CAPTION>
                                      June 30,     December 31,
                                        1998           1997
                                         $              $
                                    (Unaudited)

ASSETS
<S>                             <C>                 <C>
Equity in Commodity futures trading accounts:
 Cash                            116,634,568      119,181,131
 Net unrealized gain on open contracts  11,738,740    1,815,112

 Total Trading Equity            128,373,308      120,996,243

 Interest receivable (DWR)           379,076          382,307

 Total Assets                    128,752,384      121,378,550


LIABILITIES AND PARTNERS' CAPITAL

Liabilities

 Incentive fees payable            2,192,552        1,594,371
 Redemptions payable               1,018,602          899,127
 Accrued management fees             427,338          403,011
   Common   administrative  expenses   payable            123,674
72,297

 Total Liabilities                 3,762,166        2,968,806

Partners' Capital

 Limited Partners (24,944.941 and
   26,057.228 Units, respectively)121,868,915     115,575,973
 General Partner (638.889 Units)    3,121,303       2,833,771

 Total Partners' Capital         124,990,218      118,409,744

  Total  Liabilities and Partners' Capital  128,752,384     121,3
78,550


NET ASSET VALUE PER UNIT            4,885.52         4,435.47
<FN>
          The accompanying notes are an integral part
                 of these financial statements.
</TABLE>
<PAGE>
<TABLE>
                DEAN WITTER CORNERSTONE FUND IV
                    STATEMENTS OF OPERATIONS
                           (Unaudited)

<CAPTION>

                                 For the Quarters Ended June 30,

                                       1998            1997
                                        $            $
REVENUES
<S>                        <C>               <C>
 Trading profit (loss):
    Realized                       8,133,849 (1,181,474)
    Net change in unrealized       8,968,573 (1,179,769)

      Total Trading Results       17,102,422 (2,361,243)

    Interest Income (DWR)          1,127,721 1,036,775

      Total Revenues              18,230,143 (1,324,468)


EXPENSES

    Incentive fees                 2,028,248   -
    Management fees                1,177,862 1,011,085
      Brokerage commissions (DWR)    735,477   752,284
    Transaction fees and costs        36,848    47,546
         Common     administrative     expenses            36,212
33,388

      Total Expenses               4,014,647 1,844,303

NET INCOME (LOSS)                 14,215,496 (3,168,771)


NET INCOME (LOSS) ALLOCATION

    Limited Partners              13,862,708 (3,097,184)
    General Partner                  352,788   (71,587)


NET INCOME (LOSS) PER UNIT

    Limited Partners                  552.19  (112.05)
    General Partner                   552.19  (112.05)

<FN>
          The accompanying notes are an integral part
                 of these financial statements.
</TABLE>

<PAGE>
<TABLE>
                DEAN WITTER CORNERSTONE FUND IV
                    STATEMENTS OF OPERATIONS
                           (Unaudited)

<CAPTION>

                                For the Six Months Ended June 30,

                                       1998            1997
                                        $            $

REVENUES
<S>                        <C>               <C>
 Trading profit (loss):
    Realized                       4,527,313 17,204,603
    Net change in unrealized       9,923,628 (5,601,735)

      Total Trading Results       14,450,941 11,602,868

    Interest Income (DWR)          2,302,693 2,048,277

      Total Revenues              16,753,634 13,651,145


EXPENSES

    Management fees                2,333,334 2,052,759
    Incentive fees                1,618,729     -
    Brokerage commissions (DWR)    1,202,871 1,478,595
         Common      administrative     expenses           62,565
70,539
    Transaction fees and costs        60,647      90,957

      Total Expenses               5,278,146 3,692,850

NET INCOME                        11,475,488 9,958,295

NET INCOME ALLOCATION

    Limited Partners              11,187,956 9,745,978
    General Partner                  287,532  212,317


NET INCOME PER UNIT

    Limited Partners                  450.05  332.32
    General Partner                  450.05   332.32
<FN>
          The accompanying notes are an integral part
                 of these financial statements.
</TABLE>
<PAGE>
<TABLE>
                DEAN WITTER CORNERSTONE FUND IV
           STATEMENTS OF CHANGES IN PARTNERS' CAPITAL
        For the Six Months Ended June 30, 1998 and 1997
                          (Unaudited)



<CAPTION>

                          Units of
                        Partnership Limited   General
                          Interest   Partners Partner    Total

<S>                      <C>                                  <C>
<C>                              <C>
Partners' Capital,
    December   31,   1996     29,799.176              $93,448,822
$2,047,422                       $95,496,244

Offering    of    Units           11.519                   39,545
- -                                   39,545

Net      Income                   -                     9,745,978
212,317                          9,958,295

Redemptions                 (1,954.091)               (6,965,751)
- -                                 (6,965,751)

Partners' Capital,
    June   30,   1997         27,856.604              $96,268,594
$2,259,739                       $98,528,333



Partners' Capital,
   December   31,   1997     26,696.117              $115,575,973
$2,833,771                       $118,409,744

Offering    of    Units           41.522                  178,410
- -                                 178,410

Net     Income                   -                     11,187,956
287,532                          11,475,488

Redemptions                 (1,153.809)               (5,073,424)
- -                                 (5,073,424)

Partners' Capital,
   June   30,   1998         25,583.830              $121,868,915
$3,121,303                       $124,990,218



<FN>


           The accompanying notes are an integral part
                 of these financial statements.


</TABLE>


<PAGE>
<TABLE>
                DEAN WITTER CORNERSTONE FUND IV
                    STATEMENTS OF CASH FLOWS
                           (Unaudited)


<CAPTION>



                                For the Six Months Ended June 30,

                                       1998            1997
                                        $            $
CASH FLOWS FROM OPERATING ACTIVITIES
<S>                        <C>                           <C>
   Net   income                       11,475,488                9
,958,295
 Noncash item included in net income:
         Net     change     in     unrealized         (9,923,628)
5,601,735

 Increase (decrease) in operating assets:
    Interest receivable (DWR)         3,231              (22,169)

 Increase (decrease) in operating liabilities:
    Incentive fees payable          598,181              -
          Accrued      management      fees                24,327
8,146
      Common  administrative  expenses  payable            51,377
(873)
    Accrued brokerage commissions (DWR)-                 3,276
          Accrued      transaction      fees      and       costs
- -
913

  Net  cash  provided  by  operating activities   2,228,976     1
5,549,323


CASH FLOWS FROM FINANCING ACTIVITIES

 Offering of units                 178,410               39,545
    Increase   (decrease)   in   redemptions   payable    119,475
(588,354)
   Redemptions  of  units            (5,073,424)                (
6,965,751)

  Net  cash  used  for  financing activities   (4,775,539)      (
7,514,560)

   Net  increase  (decrease)  in  cash(2,546,563)               8
,034,763

   Balance  at  beginning  of  period119,181,131                9
1,656,399

  Balance  at  end  of  period       116,634,568                9
9,691,162

<FN>
          The accompanying notes are an integral part
                 of these financial statements.
</TABLE>

<PAGE>
                 DEAN WITTER CORNERSTONE FUND IV

                  NOTES TO FINANCIAL STATEMENTS

                           (Unaudited)



The  financial statements include, in the opinion of  management,

all  adjustments necessary for a fair presentation of the results

of  operations and financial condition of Dean Witter Cornerstone

Fund  IV  (the  "Partnership").   The  financial  statements  and

condensed  notes  herein should be read in conjunction  with  the

Partnership's December 31, 1997 Annual Report on Form 10-K.



1. Organization

The  Partnership is a limited partnership organized to engage  in

the  speculative  trading  of  commodity  futures  contracts  and

forward  contracts on foreign currencies (collectively,  "futures

interests").   The  Partnership  is  one  of  the   Dean   Witter

Cornerstone Funds, comprised of Dean Witter Cornerstone Fund  II,

Dean  Witter  Cornerstone  Fund III, and  the  Partnership.   The

general  partner  is Demeter Management Corporation  ("Demeter").

The  non-clearing commodity broker is Dean Witter  Reynolds  Inc.

("DWR"), with an unaffiliated broker, Carr Futures Inc. ("Carr"),

providing clearing and execution services.  Both Demeter and  DWR

are wholly-owned subsidiaries of Morgan Stanley Dean Witter & Co.

("MSDW").   The  trading advisors who make all trading  decisions

for the Partnership are John W. Henry & Company, Inc. ("JWH") and

Sunrise Capital Management, Inc.


<PAGE>
                 DEAN WITTER CORNERSTONE FUND IV
            NOTES TO FINANCIAL STATEMENTS (CONTINUED)


2. Related Party Transactions

The  Partnership's  cash  is on deposit  with  DWR  and  Carr  in

commodity trading accounts to meet margin requirements as needed.

DWR  pays  interest on these funds based on current 13-week  U.S.

Treasury   bill  rates.  Brokerage  expenses  incurred   by   the

Partnership are paid to DWR.


3.  Financial Instruments

The  Partnership trades futures and forward contracts on  foreign

currencies.  Futures and forwards represent contracts for delayed

delivery  of  an instrument at a specified date and price.   Risk

arises  from  changes  in the value of these  contracts  and  the

potential inability of counterparties to perform under the  terms

of   the  contracts.   There  are  numerous  factors  which   may

significantly  influence  the market value  of  these  contracts,

including  interest  rate  volatility.   At  June  30,  1998  and

December 31, 1997, open contracts were:

                               Contract or Notional Amount
                            June 30, 1998    December 31, 1997
                                    $                   $
Off-Exchange-Traded
 Forward Currency Contracts
   Commitments to Purchase      275,653,000      218,670,000
   Commitments to Sell          476,596,000      427,237,000








<PAGE>
                 DEAN WITTER CORNERSTONE FUND IV
            NOTES TO FINANCIAL STATEMENTS (CONTINUED)



A  portion of the amounts indicated as off-balance-sheet risk  in

forward   currency   contracts  is  due  to  offsetting   forward

commitments to purchase and to sell the same currency on the same

date   in   the   future.   These  commitments  are  economically

offsetting,  but are not offset in the forward market  until  the

settlement date.


The  net  unrealized gains on open contracts are  reported  as  a

component  of  "Equity in Commodity futures trading accounts"  on

the Statements of Financial Condition and totaled $11,738,740 and

$1,815,112 at June 30, 1998 and December 31, 1997, respectively.



The  $11,738,740 and $1,815,112 of net unrealized gains  on  open

contracts  at  June 30, 1998 and December 31, 1997, respectively,

related   entirely   to  off-exchange-traded   forward   currency

contracts.



Off-exchange-traded  forward  currency  contracts  held  by   the

Partnership at June 30, 1998 and December 31, 1997 mature through

September 1998 and April 1998, respectively.



The   contract   amounts  in  the  above  table   represent   the

Partnership's  extent  of involvement in a  particular  class  of

financial instrument, but not the credit risk associated with

                                
<PAGE>
                 DEAN WITTER CORNERSTONE FUND IV
            NOTES TO FINANCIAL STATEMENTS (CONTINUED)


counterparty  non-performance.  The credit risk  associated  with

these  instruments  is limited to the amounts  reflected  in  the

Partnership's Statements of Financial Condition.



The Partnership also has credit risk because DWR and Carr act  as

the  futures  commission  merchants or the  counterparties,  with

respect  to  most  of the Partnership's assets.   Exchange-traded

futures  contracts  are marked to market on a daily  basis,  with

variations in value settled or charged to the Fund's account on a

daily  basis.   Each  of  DWR and Carr, as a  futures  commission

merchant for the Partnership's exchange-traded futures contracts,

is  required,  pursuant to regulations of the  Commodity  Futures

Trading  Commission ("CFTC"), to segregate from their own assets,

and  for the sole benefit of their commodity customers, all funds

held  by  them with respect to exchange-traded futures contracts,

including an amount equal to the net unrealized gain on all  open

futures   contracts  which  funds,  in  the  aggregate,   totaled

$116,634,568  and $119,181,131 at June 30, 1998 and December  31,

1997,  respectively.   With  respect to  the  Partnership's  off-

exchange-traded forward currency contracts, there  are  no  daily

settlements  of variations in value nor is there any  requirement

that  an  amount equal to the net unrealized gain on open forward

contracts be segregated.  With respect to those off-exchange-





<PAGE>

                DEAN WITTER CORNERSTONE FUND IV
           NOTES TO FINANCIAL STATEMENTS (CONCLUDED)



traded forward currency contracts, the Partnership is at risk  to

the ability of Carr, the sole counterparty on all such contracts,

to   perform.   Carr's  parent,  Credit  Agricole  Indosuez,  has

guaranteed  to  the  Partnership payment of the  net  liquidating

value of the transactions in the Partnership's account with  Carr

(including foreign currency contracts).


For  the  six  months  ended June 30, 1998  and  the  year  ended

December   31,   1997,  the  average  fair  value  of   financial

instruments held for trading purposes was as follows:

                                           June 30, 1998
                                       Assets        Liabilities
                                         $               $

Off-Exchange-Traded Forward
 Currency Contracts                366,770,586       502,261,702


                                        December 31, 1997
                                       Assets        Liabilities
                                         $               $

Exchange-Traded Contracts:
  Financial Futures                 34,008,000       57,577,000
Off-Exchange-Traded Forward
 Currency Contracts                299,407,000      414,754,000











<PAGE>

Item   2.  MANAGEMENT'S  DISCUSSION  AND  ANALYSIS  OF  FINANCIAL
CONDITION AND RESULTS OF OPERATIONS


Liquidity - The Partnership's assets are deposited with  DWR,  as

non-clearing broker and with Carr, as clearing broker in separate

futures   interest  trading  accounts,  and  are  used   by   the

Partnership  as  margin  to engage in futures  interest  trading.

Such assets are held in either non-interest bearing bank accounts

or  in securities approved by the CFTC for investment of customer

funds.  The Partnership's assets held by DWR and Carr may be used

as  margin  solely  for  the Partnership's  trading.   Since  the

Partnership's  sole purpose is to trade in futures interests,  it

is expected that the Partnership will continue to own such liquid

assets for margin purposes.



The   Partnership's  investment  in  futures  interests  may   be

illiquid.  If  the price of a futures contract for  a  particular

commodity  has increased or decreased by an amount equal  to  the

"daily  limit," positions in the commodity can neither  be  taken

nor liquidated unless traders are willing to effect trades at  or

within  the  limit.   Commodity futures prices have  occasionally

moved the daily limit for several consecutive days with little or

no trading.  Such market conditions could prevent the Partnership

from  promptly  liquidating its commodity futures  positions  and

result  in restrictions on redemptions.  The Partnership  may  be

subject   to  additional  liquidity  risks  because   it   trades

exclusively in world



<PAGE>

currencies,  the  markets for some of which  are  or  may  become

illiquid at times.



There  is  no limitation on daily price moves in trading  forward

contracts  on  foreign currencies.  The markets  for  some  world

currencies  have low trading volume and are illiquid,  which  may

prevent  the  Partnership from trading in potentially  profitable

markets  or  prevent  the Partnership from  promptly  liquidating

unfavorable  positions  in  such markets  and  subjecting  it  to

substantial  losses.   Either of these  market  conditions  could

result in restrictions on redemptions.


Capital  Resources  The Partnership does not have,  nor  does  it

expect to have, any capital assets.  Redemptions and exchanges of

Units  of Limited Partnership Interest in the future will  affect

the amount of funds available for investment in futures interests

in  subsequent periods.  Since they are at the discretion of  the

Limited  Partners, it is not possible to estimate the amount  and

therefore, the impact of future redemptions and exchanges.



Results of Operations

For the Quarter and Six Months Ended June 30, 1998

For  the  quarter  ended June 30, 1998, the Partnership  recorded

total  trading revenues including interest income of  $18,230,143

and  posted  a  gain  in  Net Asset Value  per  Unit.   The  most

significant  gains  were recorded from short South  African  rand

positions as its value trended sharply lower relative to the U.S.

<PAGE>

dollar during May and June despite an effort by the South African

government  to  prevent  its  currency  from  dropping   further.

Additional  currency gains were recorded from short Japanese  yen

positions  as  the  value of the yen also declined  significantly

relative  to  other currencies during May and June amid  concerns

regarding  the  Japanese economy. Smaller profits  were  recorded

from short Australian and New Zealand dollar positions during May

and June as the value of these currencies also moved lower versus

the  U.S. dollar.  A portion of the Partnership's profits for the

quarter  was offset by losses incurred during April and May  from

short German mark positions as its value moved higher relative to

the  U.S.  dollar  following a downward move in previous  months.

Smaller currency losses were experienced from short positions  in

the French and Swiss francs as the value of these currencies also

moved higher versus the U.S. dollar during April.  Total expenses

for  the  three  months  ended June  30,  1998  were  $4,014,647,

resulting  in  net  income  of  $14,215,496.   The  value  of  an

individual  Unit in the Partnership increased from  $4,333.33  at

March 31, 1998 to $4,885.52 at June 30, 1998.



For  the six months ended June 30, 1998, the Partnership recorded

total  trading revenues including interest income of  $16,753,634

and  posted  a  gain  in  Net Asset Value  per  Unit.   The  most

significant profits were recorded during May and June from  short

South  African rand positions as the value of this currency  fell

significantly lower relative to the U.S. dollar.  Additional

<PAGE>

gains  were  recorded from short New Zealand dollar positions  as

its value also decreased versus the U.S. dollar during March, May

and June.  Short Japanese yen positions also proved profitable as

the  value  of the yen weakened versus other major currencies  in

reaction  to  the economic and political turmoil plaguing  Japan.

These gains were partially offset by losses recorded during April

and May from short German mark positions as the value of the mark

reversed higher after moving lower in March.  Smaller losses were

experienced from transactions involving the British pound as  its

value  moved without consistent direction for a majority  of  the

first  half of the year.  Total expenses for the six months ended

June  30,  1998  were  $5,278,146  resulting  in  net  income  of

$11,475,488.  The value of an individual Unit in the  Partnership

increased  from  $4,435.47 at December 31, 1997 to  $4,885.52  at

June 30, 1998.



For the Quarter and Six Months Ended June 30, 1997

For  the  quarter  ended June 30, 1997, the Partnership  recorded

total  trading  losses net of interest income of  $1,324,468  and

posted  a  decrease  in Net Asset Value per  Unit.   Losses  were

recorded  during  May  and  June  from  short  positions  in  the

Singapore dollar as its value moved higher relative to  the  U.S.

dollar  after  trending lower earlier in  the  year.   Additional

losses  were  recorded during these same months from transactions

involving   the  New  Zealand  dollar.   In  April,  transactions

involving  the  Swiss  franc and Malaysian  ringgit  resulted  in

additional losses as the

<PAGE>

value  of  these  currencies moved without consistent  direction.

Smaller  losses were experienced during April from long positions

in  the  British  pound  as its value finished  the  month  lower

relative to the U.S. dollar. A portion of these losses was offset

by  gains  recorded  during April from  short  positions  in  the

Japanese  yen  as  the  value  of the  U.S.  dollar  strengthened

relative  to the yen, and from long positions in the  yen  during

June  as  its value moved higher versus the U.S. dollar.  Smaller

gains  were recorded during June from transactions involving  the

German  mark. Total expenses for the three months ended June  30,

1997 were $1,844,303, resulting in a net loss of $3,168,771.  The

value  of  an  individual Unit in the Partnership decreased  from

$3,649.03 at March 31, 1997 to $3,536.98 at June 30, 1997.



For  the six months ended June 30, 1997, the Partnership recorded

total  trading revenues including interest income of  $13,651,145

and  posted  an increase in Net Asset Value per Unit.   The  most

significant  trading  gains were recorded from  a  strong  upward

trend  in  the value of the U.S. dollar versus most  other  major

currencies during January and February.  As a result, gains  were

recorded  from  short  positions in the  Singapore  dollar,  most

European  currencies, particularly the German  mark,  French  and

Swiss  francs,  and the Japanese yen.  The strengthening  of  the

U.S.  dollar relative to the Japanese yen continued during  March

and  April,  resulting in additional gains for the  Partnership's

short  yen  positions.   A portion of the  Partnership's  overall

currency gains

<PAGE>

for  the  first half of the year was offset by losses experienced

from  transactions involving the British pound during  the  first

quarter.   Losses were also recorded from transactions  involving

the  New  Zealand  dollar during March, May  and  June,  and  the

Australian   dollar   during  January.    Smaller   losses   were

experienced  from  trading  the  Malaysian  ringgit  as   profits

recorded  during  March and May were more than offset  by  losses

experienced  during  April.  Total expenses for  the  six  months

ended  June 30, 1997 were $3,692,850, resulting in net income  of

$9,958,295.   The value of an individual Unit in the  Partnership

increased  from  $3,204.66 at December 31, 1996 to  $3,536.98  at

June 30, 1997.































<PAGE>

                  PART II.   OTHER INFORMATION



Item 1.   LEGAL PROCEEDINGS

Previously  reported.  See Form 10-Q for the quarter ended  March

31, 1998.



Item 2.  CHANGES IN SECURITIES AND USE OF PROCEEDS

Dean  Witter  Cornerstone Fund I ("Cornerstone I"),  Dean  Witter

Cornerstone   Fund  II  ("Cornerstone  II"),  and   Dean   Witter

Cornerstone  III  ("Cornerstone  III")  collectively   registered

250,000  Units of Limited Partnership Interest ("Units") pursuant

to  a  Registration Statement on Form S-1, which became effective

on  May 31, 1984 (the "Registration Statement") (SEC File Numbers

2-88587;   88587-01;   88587-02).    As   contemplated   in   the

Registration  Statement,  an additional  fund,  the  Partnership,

(collectively with Cornerstone I, Cornerstone II and  Cornerstone

III,  the  "Cornerstone Funds") was registered pursuant to  Post-

Effective  Amendment No. 5 to the Registration  Statement,  which

became  effective on February 6, 1987.  The managing  underwriter

for the Cornerstone Funds is DWR.



The offering for the Partnership originally commenced on February

6,  1987  and  currently continues, with 100,621.345  Units  sold

through  June  30, 1998.  Through June 30, 1998, the  Cornerstone

Funds  have  sold  an  aggregate of  235,407.756  Units,  leaving

14,592.244 Units remaining available for sale as of July 1, 1998.

<PAGE>

The  aggregate  price of Units sold through June  30,  1998  with

respect to the Partnership is $168,001,174.


























































<PAGE>
                                





Item 6. - EXHIBITS AND REPORTS ON FORM 8-K

          Reports on Form 8-K - No such reports have
          been filed for the quarter ended June 30, 1998.












































<PAGE>




                           SIGNATURE



Pursuant  to the requirements of the Securities Exchange  Act  of
1934, the Registrant has duly caused this report to be signed  on
its behalf by the undersigned, thereunto duly authorized.




                               Dean Witter Cornerstone Fund IV
                                        (Registrant)

                               By: Demeter Management Corporation
                                       (General Partner)

August 12, 1998                By:  /s/   Lewis A.  Raibley,  III
                               Lewis A. Raibley, III
                                        Chief Financial Officer




The  General  Partner which signed the above is  the  only  party
authorized  to  act  for the Registrant.  The Registrant  has  no
principal   executive  officer,  principal   financial   officer,
controller, or principal accounting officer and has no  Board  of
Directors.


















<TABLE> <S> <C>

<ARTICLE> 5
<LEGEND>
The schedule contains summary financial information extracted from Dean
Witter Cornerstone Fund IV and is qualified in its entirety by reference
to such financial instruments.
</LEGEND>
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUN-30-1998
<PERIOD-END>                               JUN-30-1998
<CASH>                                     116,634,568
<SECURITIES>                                         0
<RECEIVABLES>                                  379,076
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                     0
<PP&E>                                               0
<DEPRECIATION>                                       0
<TOTAL-ASSETS>                             128,752,384<F1>
<CURRENT-LIABILITIES>                                0
<BONDS>                                              0
                                0
                                          0
<COMMON>                                             0
<OTHER-SE>                                           0
<TOTAL-LIABILITY-AND-EQUITY>               128,752,384<F2>
<SALES>                                              0
<TOTAL-REVENUES>                            16,753,635<F3>
<CGS>                                                0
<TOTAL-COSTS>                                        0
<OTHER-EXPENSES>                             5,278,147
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                                   0
<INCOME-PRETAX>                             11,475,488
<INCOME-TAX>                                         0
<INCOME-CONTINUING>                         11,475,488
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                11,475,488
<EPS-PRIMARY>                                        0
<EPS-DILUTED>                                        0
<FN>
<F1>In addition to cash and receivables, total assets include net unrealized
gain on open contracts of $11,738,740.
<F2>Liabilities include redemptions payable of $1,018,602, accrued
management fees of $427,338, common administrative expenses payable
of $123,674 and incentive fees payable of $2,192,552.
<F3>Total revenue includes realized trading revenue of $4,527,313, net
change in unrealized of $9,923,628 and interest income of $2,302,693.
</FN>
        

</TABLE>


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