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Determine the uniform annual value for the cash flow below at an interest rate of 11% per year.
Year 0 1 2 3 4 5 6 7 8 9
Cash Flow, 0 $ 30,000 30,000 30,000 30,000 45,000 45,000 45,000 45,000 45,000
a. $38,474
b. $37,744
c. $36,595
d. $39,595

Respuesta :

Answer:

$36,595

Explanation:

The computation of the uniform annual value is shown below:;

Before that we need to find out the present worth which is

= $30,000 × (P/A , 11%, 4) + $45,000 × (P/A , 11%, 4) × (P/F , 11%, 4)

= $30,000 × (3.1025) + $45,000 × (3.69590) (0.65873)

= $202,630.51

Now the annual worth is

= Present value × (A/P, 11%,9)

= $202,630.51 × 0.18060

= $36,595

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