Sid Auto, a national auto parts chain, is considering purchasing a smaller chain, South Georgia Parts (SGP). Sid’s analysts project that the merger will result in the following incremental free cash flows and horizon values (in millions):
Year 1 2 3 4
Free cash flow $2 $4 $5 $10
Unlevered horizon value 107
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 Sid?