Question
Income Stream End of Year A B 1 $4,000 $1,000 2 $3,000 $2,000 3 $2,000 $3,000 4 $1,000 $4,000 Total $10,000 $10,000 Consider the streams
Income Stream | ||
End of Year | A | B |
1 | $4,000 | $1,000 |
2 | $3,000 | $2,000 |
3 | $2,000 | $3,000 |
4 | $1,000 | $4,000 |
Total | $10,000 | $10,000
|
Consider the streams of income given in the following table:
.
a. Find the present value of each income stream, using a discount rate of 1%,
then repeat those calculations using a discount rate of 8%.
b. Compare the calculated present values and discuss them in light of the fact that the undiscounted total income amounts to $10,000
in each case.
a. The present value of income stream A, using a discount rate of 1% is $(Round to the nearest cent.)
The present value of income stream B, using a discount rate of 1% is $ (Round to the nearest cent.)
The present value of income stream A, using a discount rate of 8% is $
(Round to the nearest cent.)
The present value of income stream B, using a discount rate of 8% is $
(Round to the nearest cent.)
b. Compare the calculated present values and discuss them in light of the fact that the undiscounted total income amounts to
$ 10,000
in each case. (Select the best choice below.)
A.
Although the total amount is the same, income stream B has a lower present value because the interest rate is assumed to be fixed during the investment period.
B.
Although the total amount is the same, income stream B has a lower present value because large cash flows occur in later years and are discounted more at a given interest rate level.
C.
Although the total amount is the same, income stream B has a lower present value because the number of investment years is limited to only four years.
D.
Although the total amount is the same, income stream B has a lower present value because small cash flows occur in early years and are discounted more at a higher interest rate.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started