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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.

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