CG VARIABLE ANNUITY SEPARATE ACCOUNT
N-30D, 1997-09-05
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<PAGE>
 
 
AIM/CIGNA
Heritage

SEMIANNUAL REPORT
JUNE 30, 1997

                                                [PHOTO APPEARS HERE]

                                                A Lasting Investment
                                                Structure for the
                                                Retirement of Your Life


[LOGO OF AIM APPEARS HERE] 



[LOGO OF CIGNA APPEARS HERE]
CIGNA Individual 
Insurance


<PAGE>
 

TABLE OF CONTENTS
 
<TABLE>
<S>                                                                    <C>
Letter To Our Clients...............................................        1
  Schedule of Changes In Unit Value.................................        2
AIM Variable Insurance Funds, Inc.
  AIM V.I. Capital Appreciation Fund................................        3
  AIM V.I. Diversified Income Fund..................................       15
  AIM V.I. Global Utilities Fund....................................       27
  AIM V.I. Government Securities Fund...............................       38
  AIM V.I. Growth Fund..............................................       45
  AIM V.I. Growth and Income Fund...................................       58
  AIM V.I. International Equity Fund................................       70
  AIM V.I. Money Market Fund........................................       80
  AIM V.I. Value Fund...............................................       87
  Directors and Officers of the Funds...............................   Inside
                                                                         Back
                                                                        Cover
</TABLE>
<PAGE>
 
<TABLE> 
<S>                             <C>                                              <C>
                                                                                 The President's Letter

                                Dear Client:                                                                          
                                                                                                                      
    [TCJ PHOTO                  It is a pleasure to provide you with this report on the performance of the            
     APPEARS HERE]              AIM/CIGNA Heritage Variable Annuity product for the six-month period ended            
                                June 30, 1997.                                                                        
                                                                                                                      
                                The report includes a summary of sub-account performance for the past six             
                                months and financial data for each of the portfolio options. We are also              
                                including an informative round-table discussion with the fund management team         
                                for AIM Variable Insurance Funds, Inc. regarding the performance of the funds         
                                during a period of dramatic market volatility. I hope you will take a few             
                                minutes to read it carefully.                                                         
                                                                                                                      
                                I would also like to inform you that Lincoln National Corporation (LNC) agreed        
                                in late July to purchase CIGNA's individual life insurance and annuities              
                                businesses. We expect that transaction, which is subject to regulatory                
                                approval, to close by the end of the year.                                            
                                                                                                                      
                                As a current contract holder, we recognize that you may have questions about          
                                this agreement and how it will affect your contract and your relationship with        
                                CIGNA. I want to assure you that this is a positive step forward for both             
                                organizations--and an exciting development for our clients.                           
                                                                                                                      
                                First and foremost, your annuity contract will continue to be honored by              
                                Connecticut General in accordance with the contract terms. You will always have       
                                the right to remain a Connecticut General contract holder, and your annuity           
                                contract will continue to be backed by the financial strength and integrity of        
                                Connecticut General.                                                                  
                                                                                                                      
                                In addition, you will continue to receive the same level of exceptional               
                                service. And because the combination brings together CIGNA's premier life             
                                insurance and financial planning expertise with Lincoln National Life Insurance       
                                Company's leadership position in annuities and investment products, you will          
                                have access to a broader range of product and service solutions to meet your          
                                complex estate and financial planning needs.                                          
                                                                                                                      
                                I firmly believe this is an outstanding development for clients. If you have          
                                questions about the agreement, or about your annuity contract, you may call our       
                                Annuity and Variable Life Service Center at 1.800.552.9898, Monday through            
                                Friday, 8 a.m. to 7 p.m. Eastern time.                                                
                                                                                                                      
                                As always, I want to thank you for your business, and I look forward to working       
                                with you to develop the appropriate customized plan to meet your changing             
                                financial planning needs.                                                             
                                                                                                                      
                                Sincerely,                                                                            
                                                                                                                      
                                Thomas C. Jones                                                                       
                                President                                                                             
                                CIGNA Individual Insurance                                                             
</TABLE> 
                       
<PAGE>
 
 
 
                      AIM/CIGNA HERITAGE VARIABLE ANNUITY
                       SCHEDULE OF CHANGES IN UNIT VALUES
                     PERIOD ENDED JUNE 30, 1997 (UNAUDITED)
 
 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------
                                    12/31/96     6/30/97
                                  ACCUMULATION ACCUMULATION
  SUB-ACCOUNT                      UNIT VALUE   UNIT VALUE  % CHANGE
  <S>                             <C>          <C>          <C>
  AIM V.I. Capital Appreciation    $18.467244   $19.872567     7.6
  AIM V.I. Diversified Income       12.591387    12.857928     2.1
  AIM V.I. Global Utilities         13.826403    14.849766     7.4
  AIM V.I. Government Securities    11.089217    11.304895     1.9
  AIM V.I. Growth                   16.280681    18.679179    14.7
  AIM V.I. Growth and Income        15.835279    18.355699    15.9
  AIM V.I. International Equity     15.578350    17.280302    10.9
  AIM V.I. Money Market             11.155653    11.355546     1.8
  AIM V.I. Value                    17.590804    20.261538    15.2
- --------------------------------------------------------------------------------
</TABLE>
 
Accumulation Unit Values are net of charges against the assets of the Variable
Account for the assumption of mortality and expense risks and for
administrative expenses.
 
2
<PAGE>
 


The mutual fund semiannual report is incorporated herein by reference.  It has 
been electronically filed with the Securities and Exchange Commission in 
connection with the named entity's status as a registered investment company 
under the Investment Company Act of 1940:

    AIM/CIGNA Heritage SemiAnnual Report, June 30, 1997, consisting of pages 
    3-96, plus inside back cover.  Filed:  September 4, 1997, Form Type N-30D,
    Registration Statement 811-7452.
<PAGE>
 
     AIM Variable Insurance Funds, Inc.
        AIM V.I. Capital Appreciation Fund
        AIM V.I. Diversified Income Fund
        AIM V.I. Global Utilities Fund*
        AIM V.I. Government Securities Fund
        AIM V.I. Growth Fund
        AIM V.I. Growth & Income Fund
        AIM V.I. International Equity Fund
        AIM V.I. Money Market Fund
        AIM V.I. Value Fund



     *On May 1, 1995, AIM V.I. Utilities Fund broadended its investment
     strategy to permit up to 80% of its total assets to be invested in
     foreign securities, and was renamed AIM V.I. Global Utilities Fund.

     This report may be distributed only to current shareholders or to
     persons who have received a current prospectus of the Variable
     Annuity.


                                                 National Distributor:
                                                 CIGNA Financial Advisors 
                                                 900 Cottage Grove Road
                                 [X]             Bloomfield, CT 06002
                                 CIGNA
                                 Individual      CIGNA Individual Insurance is a
     A I M Distributors, Inc.    Insurance       division of CIGNA Corporation.


 


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