You have the opportunity to pay $2,000 to invest in a company. You estimate that this company will earn a total of $10,000 during its life. You expect the company to pay all of these earnings to you as a dividend 10 years from today. Currently, the risk-free rate is 6% but this investment is really risky and you feel that a 14% discount rate is appropriate. How much would you earn from this investment in today's dollars (i.e. present value)? Round to the nearest dollar.
Present Value of 10,000 received 10 years later
= 10,000/(1+14%)^10
= $2,697.43
So Gain = 2,697.43-2,000
= $697.43
Note that discounted rate is used for calculating Present value so risk free rate is ignored.
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