Lump-sum deposit
P3-11. As part of your personal budgeting process, you have determined that in each of the next five years you will have budget shortfalls. In other words, you will need the amounts shown in the following table at the end of the given year to balance your budget?that is, inflows equal out-flows. You expect to be able to earn 8 percent on your investments during the next five years and wish to fund the budget shortfalls over these years with a single initial deposit.
End of Year Budget Shortfall
1 $ 5,000
2 4,000
3 6,000
4 10,000
5 3,000
a. How large must the lump-sum deposit be today into an account paying 8 percent annual in-
terest to provide for full coverage of the anticipated budget shortfall?
b. What effect would an increase in your earnings rate have on the amount calculated in part
a? Explain.
