Final answer:
To calculate the price per share of the preferred stock, use the concept of present discounted value (PDV) and follow the steps provided. The price per share should be about $256,500 per share.
Step-by-step explanation:
To calculate the price per share of a preferred stock, we can use the concept of present discounted value (PDV). It helps determine the amount you should be willing to pay in the present for a stream of expected future payments. In this case, we have a preferred stock with a par value of $100 and an annual dividend of $5.30 per share. Given a market required return of 7%, we can calculate the price per share using the following steps:
- Calculate the present value of each expected future dividend payment using the formula: PV = Dividend / (1 + Interest Rate)^Time Period.
- Add up all the present values of the dividend payments over different time periods to get a total present value.
- Divide the total present value by the number of shares to get the price per share.
Using this formula, the price per share of the preferred stock should be about $256,500 per share.