Question
Value of a single amount versus a mixed stream: Gina Vitale has just contracted to sell a small parcel of land that she inherited a
Value of a single amount versus a mixed stream: Gina Vitale has just contracted to sell a small parcel of land that she inherited a few years ago. The buyer is willing to pay $24,000 at the closing of the transaction or will pay the amounts shown in the following table at the beginning of each of the next 5 years. Because Gina doesn't really need the money today, she plans to let it accumulate in an account that earns 7% annual interest. Given her desire to buy a house at the end of 5 years after closing on the sale of the lot, she decides to choose the payment alternative--- $24,000 single amount or the mixed stream of payments in the following table--- that provides the higher future value at the end of 5 years. Which alternative will she choose?
Beginning of year | Cash flow |
1 | $2,000 |
2 | 4,000 |
3 | 6,000 |
4 | 8,000 |
5 | 10,000 |
Suppose that somehow you know that the present value of the entire stream is $32,911.03 and that the discount rate is 4%. What is the amount of the missing cash flow in year 3?
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