47. A share of stock has a dividend of D0= $5. The dividend is expected to grow at a 20 percent annual rate for the next 10 years, then at a 15 percent rate for 10 more years, and then at a long-run normal growth rate of 10 percent forever. If investors require a 10 percent return on this stock, what is its current price? A. $100.00B. $82.35C. $195.50D. $212.62E.The data given in the problem are internally inconsistent, i.e., the situation described is impossible in that no equilibrium price can be produced.
48. You are considering the purchase of a common stock that just paid a dividend of $2.00. You expect this stock to have a growth rate of 30 percent for the next 3 years, then to have a long-run normal growth rate of 10 percent thereafter. If you require a 15 percent rate of return, how much should you be willing to pay for this stock? 49. DAA's stock is selling for $15 per share. The firm's income, assets, and stock price have been growing at an annual 15 percent rate and are expected to continue to grow at this rate for 3 more years. No dividends have been declared as yet, but the firm intends to declare a dividend of D3= $2.00 at the end of the last year of its supernormal growth. After that, dividends are expected to grow at the firm's normal growth rate of 6 percent. The firm's required rate of return is 18 percent. The stock is 50. Berg Inc. has just paid a dividend of $2.00. Its stock is now selling for $48 per share. The firm is half as risky as the market. The expected return on the market is 14 percent, and the yield on U.S. Treasury bonds is 11 percent. If the market is in equilibrium, what rate of growth is expected? 51. You have a chance to purchase a perpetual security that has a stated annual payment (cash flow) of $50. However, this is an unusual security in that the payment will increase at an annual rate of 5 percent per year; this increase is designed to help you keep up with inflation. The next payment to be received (your first payment, due in 1 year) will be $52.50. If your required rate of return is 15 percent, how much should you be willing to pay for this security? A. $350B. $482C.$525D. $556E. $610
52. Suppose you are willing to pay $30 today for a share of stock which you expect to sell at the end of one year for $32. If you require an annual rate of return of 12 percent, what must be the amount of the annual dividend which you expect to receive at the end of Year 1?
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