Final answer:
Dillon should not purchase the bond as it is overpriced at $790. The price of the stock for Dillon today is $44.75. The price of the stock for Dillon 2 years from now is $39.66 and for Dillon 5 years from now is $42.30.
Step-by-step explanation:
To calculate the maximum price Dillon should pay for the bond, we need to calculate the present value of its future cash flows. The bond has a 3.0% coupon with semiannual payments, so each payment will be $1,000 * 3.0% / 2 = $15. The bond will make 60 total payments (30 years * 2 per year), with the last payment being the face value of $1,000. Using the required rate of return of 15% and a financial calculator or Excel, we can find that the present value of the bond is $728.81. Since the bond is priced at $790, Dillon should not purchase the bond because it is overpriced.
To calculate the price of the stock for Dillon today, we need to calculate the present value of its future dividends. The dividends for the next four years are $1.50 * (1.17 * 1.15 * 1.10 * 1.05) = $1.97. Using the required rate of return of 15% and a financial calculator or Excel, we can find that the present value of the stock today is $44.75.
The price of the stock for Dillon 2 years from now can be calculated by finding the present value of the dividends for the next three years. The dividends for the next three years are $1.50 * (1.15 * 1.10 * 1.05) = $1.81. Using the required rate of return of 15% and a financial calculator or Excel, we can find that the present value of the stock 2 years from now is $39.66.
The price of the stock for Dillon 5 years from now can be calculated by finding the present value of the dividends for the next six years. The dividends for the next six years are $1.50 * (1.10 * 1.05) * (1.05 * 1.05 * 1.05) = $1.92. Using the required rate of return of 15% and a financial calculator or Excel, we can find that the present value of the stock 5 years from now is $42.30.