Answer:
Since the present value of the perpetuity ($5,000) is less than the price that Jenin paid for the stocks ($6,000), we can conclude that she paid an excessively high price for them.
Explanation:
Jenin invested $6,000 in stocks that yield a perpetual dividend. In order to compare if Jenin made a good deal we must find the present value of the perpetuity:
present value = annual cash flow / discount rate = $400 / 8% = $5,000
Since the present value of the perpetuity is less than the price that Jenin paid for the stocks, we can conclude that she paid an excessively high price for them.
We conclude that this stock is overpriced and it was purchased at a premium.
Total number of shares Bought = 100 shares
100 shares were purchased at the rate of $6000
The rate of discount is = 8 percent = 0.08
Cash flow = 400 dollars
To get the theoretical value of these 100 shares
Value = cash flow ÷ discount
= 400 ÷ 0.08
= $5000
Therefore the 6000 dollars that was paid to get the 100 shares is more than the calculated theoretical value of 5000.. We conclude that this stock is overpriced and it was purchased at a premium.
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