5. You have determined that in each of the next five years you will have budget shortfalls. In other words, you need the amounts shown in the following table at the end of the given year to balance your budget, that is, to make inflows equal outflows. You expect to be able to earn 8 percent on your investments during the next five years and want to fund the budget shortfalls over these years with a single initial deposit. 1 23 4 45 5 End of Year Budget Shortfall $5,000 $4,000 $6,000 $10,000 $3,000 (a) How large must the lump-sum deposit into an account paying 8 percent annual interest be today to provide for full coverage of the budget shortfalls? (b) What effect does an increase in your earning rate to 10% have the amount calculated in part a? Explain.

Microeconomics A Contemporary Intro
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Chapter13: Capital, Interest, Entrepreneurship, And Corporate Finance
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Economics
5. You have determined that in each of the next five years you will have budget
shortfalls. In other words, you need the amounts shown in the following table at
the end of the given year to balance your budget, that is, to make inflows equal
outflows. You expect to be able to earn 8 percent on your investments during the
next five years and want to fund the budget shortfalls over these years with a
single initial deposit.
1
2
3
4
5
End of Year
Budget Shortfall
$5,000
$4,000
$6,000
$10,000
$3,000
(a) How large must the lump-sum deposit into an account paying 8 percent annual
interest be today to provide for full coverage of the budget shortfalls?
(b) What effect does an increase in your earning rate to 10% have the amount
calculated in part a? Explain.
Transcribed Image Text:Economics 5. You have determined that in each of the next five years you will have budget shortfalls. In other words, you need the amounts shown in the following table at the end of the given year to balance your budget, that is, to make inflows equal outflows. You expect to be able to earn 8 percent on your investments during the next five years and want to fund the budget shortfalls over these years with a single initial deposit. 1 2 3 4 5 End of Year Budget Shortfall $5,000 $4,000 $6,000 $10,000 $3,000 (a) How large must the lump-sum deposit into an account paying 8 percent annual interest be today to provide for full coverage of the budget shortfalls? (b) What effect does an increase in your earning rate to 10% have the amount calculated in part a? Explain.
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