Raymond Supply, a national hardware chain, is considering purchasing a smaller chain, Strauss & Glazer Parts (SGP). Raymond's analysts project that the merger will result in the following free cash flows and interest expenses. After Year 4, both free cash flows and interest expenses will grow at constant rate of 4%.

Year . Free cash flows (million U$) . Interest expense (million U$)

1 ...................$100 .......................................................10

2 .................$300 ....................................................... 10

3 .................$300 .......................................................15

4 .................$500 .......................................................20

Assume that all cash flows occur at the end of the year. SGP has 2 million shares outstanding and a target capital structure consisting of 40% debt and 60% common equity. Market value of SGPs debt is $200 million and cost of debt is 10%. The value of SGPs non-operating assets is $0. SGP's pre-merger beta is 2.0, and its post-merger tax rate would be 40%. The risk-free rate is 8% and the market risk premium (rM-rRF) is 4%. Using the APV method, answer the following questions.

1) Which discount rate should be used to value of the tax shields of SGP?

2) What is the per share value of SGP to Raymond Supply Corporation?

MUST USE APV METHOD TO SOLVE BOTH PROBLEMS. SHOW WORK.