Brau Auto, a national autoparts chain, is considering purchasing a smaller chain

Question

Brau Auto, a national autoparts chain, is considering purchasing a smaller chain, South Georgia Parts (SGP). Brau's analysts project that the merger will result in the following incremental free cash flows, tax shields, and horizon values:

Year                                                    1          2          3            4

Free cash flow                                  $1        $3        $3          $7

Unlevered horizon value                                                          75

Tax shield                                           1          1          2            3

Horizon value of tax shield                                                      32

            Assume that all cash flows occur at the end of the year. SGP is currently financed with 30% debt at a rate of 10%. The acquisition would be made immediately, and if it is undertaken, SGP would retain its current $15 million of debt and issue enough new debt to continue at the 30% target level. The interest rate would remain the same. SGP's pre-merger beta is 2.0, and its post-merger tax rate would be 34%. The risk-free rate is 8% and the market risk premium is 4%. What is the value of SGP to Brau?

Thank you for answering and please show work

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