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Nesterboy
1 month ago
14

A construction management company is examining its cash flow requirements for the next 7 years. The company expects to replace s

oftware and infield computing equipment at various times over a 7-year planning period. Specifically, the company expects to spend $6000 one year from now, $9000 three years from now, and $10,000 each year in years 6 through 10. What is the future worth in year 10 of the planned expenditures, at an interest rate of 12% per year?
Business
1 answer:
Nady [2.9K]1 month ago
7 0

Answer:

Total cost= $104,022.6

Explanation:

Given the following data:

The company anticipates $6000 in expenditure after 1 year, $9000 after 3 years, and $10,000 annually from year 6 through year 10.

The annual interest rate is set at 12%.

We will apply this formula:

FV= PV*(1+i)^n

FV= 6000*(1.12)^9= 16,638.47

FV= 9000*(1.12)^7= 19,896.13

Total= $36,534.6

For the last three amounts, we shall use the formula:

FV= {A*[(1+i)^n-1]}/i

A= annual payment

FV= {10000*[(1.12^3)-1]}/0.12= 67,488

The cumulative cost is 67,488 + 36,534.6= $104,022.6

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