The present value of an investment

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Chapter 5, Problem 4SP

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To determine: The present value of an investment

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(Present value) What is the present value of the following future amounts? a. $900 to be received 10 years from now discounted back to the present at 11 percent. b. $300 to be received 6 years from now discounted back to the present at 8 percent. c. $1,150 to be received 11 years from now discounted back to the present at 5 percent. d. $1,100 to be received 4 years from now discounted back to the present at 19 percent. a. What is the present value of $900 to be received 10 years from now discounted back to the present at 11 percent? $nothing (Round to the nearest cent.)

2. The following are exercises in present values: a. $100 at the end of three years is worth how much today, assuming a discount rate of (i) 100 percent? (ii) 10 percent? (iii) 0 percent? b. What is the aggregate present value of $500 received at the end of each of the next three years, assuming a discount rate of (i) 4 percent? (ii) 25 percent? C. $100 is received at the end of one year, $500 at the end of two years, and $1,000 at the end of three years. What is the aggregate present value of these receipts, assuming a discount rate of (i) 4 percent? (ii) 25 percent? d. $1,000 is to be received at the end of one year, $500 at the end of two years, and $100 at the end of three years. What is the aggregate present value of these receipts assum- ing a discount rate of (i) 4 percent? (ii) 25 percent? e. Compare your solutions in Part (c) with those in Part (d) and explain the reason for the differences.

a. What is the present value of 15 annual payments of $100, with the first payment one year from now, if the discount rate is 0.05? b. What is the present value of 15 annual payments of $100, with the first payment right now, if the discount rate is 0.05? c. What is the present value of 15 annual payments of $100, with the first payment five years from now, if the discount rate is 0.05? d. At what discount rate would the present value of 15 annual payments of $100, with the first payment right now, be 0? e. How many annual payments of $100, with the first payment right now, would it take to be worth more than $1,000, if the discount rate is 0.05? f. What is the value of 15 annual payments which begin at $100 one year from now and increase at 2% per year thereafter, if the discount rate is 0.05?