ANTHRACITE CAPITAL INC
424B3, 2000-05-08
REAL ESTATE INVESTMENT TRUSTS
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                                            Filed pursuant to rule 424(b)(3)
                                                  Registration No. 333-33596


                               CORE CAP, INC.
                              [CORE Cap Logo]


 767 Fifth Avenue, 24th Floor
 New York, NY 10153-0013
 Telephone: (917) 369-2306
 Fax (917) 369-2411


                                        May 4, 2000

 Dear CORE Cap, Inc. Stockholder:

           As you know, on May 10, the stockholders of CORE Cap, Inc. will
 convene at a special stockholder meeting to consider and vote on the
 proposal to approve the agreement and plan of merger, dated February 8,
 2000, between CORE Cap and Anthracite Capital, Inc.  In response to CORE
 Cap shareholder inquiries, CORE Cap has prepared the following information
 to assist in the evaluation of the proposed merger.

           Based upon CORE Cap's and Anthracite's April 30, 2000 estimated
 net asset values, the estimated exchange ratio for the proposed merger
 would be 1.2833 Anthracite common shares for each CORE Cap common share. In
 addition to receiving shares in Anthracite, CORE Cap common stockholders
 will also receive a special dividend estimated to range between $0.25 to
 $0.75 per share.  The final exchange ratio and special dividend will be
 determined before the May 15, 2000 closing on the basis of net asset values
 as of May 10.  Thus, neither the amount of the ratio nor the amount of the
 dividend will be known until after the meeting

           Holders of shares of CORE Cap preferred stock will receive one
 share of a corresponding class of Anthracite preferred stock whose terms
 and conditions are substantially identical to those of the CORE Cap
 preferred stock.

           This is a supplement to the proxy statement/prospectus, dated
 April 11, 2000.

                                        Sincerely,

                                        /s/ Brian Kuelbs

                                        Brian Kuelbs
                                        President


           Pursuant to rule 424(c), the proxy statement/prospectus to which
 this supplement relates, filed with the SEC in Amendment No. 1 to the
 Registration Statement on Form S-4 filed by Anthracite Capital, Inc.
 (Registration No. 333-33596), is incorporated by reference herein.




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