Harry Harrison wishes to purchase the common stock of the Hudson Hairpin Corp. The company is projecting that they will pay annual dividends in the amount of $2.00, $2.50, $3.00, $3.50, and $4.00 over the next five years, respectively. Harry expects that he will be able to sell the stock at the end of the fifth year for $65.00. If his required rate of return is 18.25%, what will he pay for the stock today ?
Here we will find the present value of all the dividends and stock price by discounting it @18.25%.
The Sum of all those present values will equal today's stock price.
Year | Amount | The present value of the Amount |
1 | 2 | 2 /(1.1825)^1 |
2 | 2.5 | 2.5/(1.1825)^2 |
3 | 3 | 3/(1.1825)^3 |
4 | 3.5 | 3.5/(1.1825)^4 |
5 | 4 + 65 = 69 | 69/(1.1825)^5 |
Amount to pay for the stock today | Sum of PV = 36.93 Answer |
He will pay $36.93 for the stock today.
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