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Please show work Calculate the expected return on stock State of the economy Pro

ID: 2639448 • Letter: P

Question

Please show work

Calculate the expected return on stock

State of the economy               Probability of the state          % returns on stock

Economic Recession                                 25%                                       -8.5%

Boom                                                           12%                                      15.6%

Steady economic growth                         63%                                      3.4%

Round to two decimals places in percentage

The Black bear Company just paid an annual dividend of $5.98. If you expect a constant growth rate of 8% and have a required rate of return of 12.65% what is the current stock price according to the constant growth dividend model (Gordon Model).

Round the answers to two decimals

You are considering the purchase of a share of Blue Grass, Inc. common stock. You expect to sell it at the end of one year for $87.00 per share. You will also receive a dividend of $5.36 per share at the end of the next year. If your required return on this stock is 7.39% what is the most you would be willing to pay for Blue Grass Inc. common stock now?

    Round the answers to two decimals

Explanation / Answer

1. Expected return on stock = -(0.25* 8.5% ) + (0.12 * 15.6 %) + (0.63 * 3.4%) = 1.89%

2. Price of Stock = Dividend one year from now/(required rate of return - growth rate)

= (5.98*1.08)/(12.65%-8%) = 6.4584 / 4.65% = $138.89

3. Price of Share now = Present value of future income from sale of share and dividend received per share

= (87+ 5.36) / (1+7.39%) = $86

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