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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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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.
Transcribed Image Text: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.
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