Knightmare, Inc., will pay a dividend of $6.15, $9.05, and $12.25 per share for each of the next three years, respectively. The company will then close its doors. Investors require a return of 11.7 percent on the company's stock. What is the current stock price?

Current Price of Stock $21.55

Explanation:

As Knightmare Inc. will pay dividend for 3 years, we can find the price of stock by discounting (using 11.7% required rate of return) the dividends of 3 year period to get the current value of stock.

Value of stock = 6.15 / (1.117) + 9.05 (1.117) ^2 + 12.25 / (1.117) ^3

Current Price of Stock = $21.55

The current stock price is $21.54

Explanation:

The current price of the share of Knightmare Inc is the present value of all future cash flows receivable from owning stake in the company.

The future cash flows in this sense are the dividends payable by the company in years 1,2 and 3 which are $6.15,$9.05 and $12.25 per share respectively.

The discount factor in this case is given as 1 / (1+r) ^N where r is the required rate of return of 11.7% and the relevant year of dividend receipt, hence the share price is computed thus:

Year cash flow discount factor PV

1 $6.15 1 / (1+11.7%) ^1=0.89525 $5.5

2 $9.05 1 / (1+11.7%) ^2=0.80148 $7,25

3 $12.25 1 / (1+11.7%) ^3=0.71753 $8.79

Total present value $21.54