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Knowledge Check 01 What is the present value of $6,000 to be received at the end of each of eight periods, assuming the first
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Answer #1

Answer:

$24,049

Explanation:

We can compute the answer using the concept of present value of Ordinary Annuity.

Given,

Interest rate, i = 10%

Number of periods, n = 8 years

Annuity factor @ 10% for 8 years = 5.33493 (from Annuity table)

:. PVA (Present Value of Ordinary Annuity) =

$6000 * 5.33493

= $32,009.58

= $32,010 (approx.)

Now, we have to calculate the present value of the amount calculated using the PV factor of 3rd year.

Here,

i = 10%

n = 3 years

PV Factor @ year 3 = 0.75131

:. Answer = $32,010 * 0.75131 = $24,049.43 =$24,049

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