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When Derek was a small child, his grandfather established a trust fund for him t

ID: 2816391 • Letter: W

Question

When Derek was a small child, his grandfather established a trust fund for him to receive

$19 comma 000

on his thirty-fifth birthday. Derek just turned 23. What is the value of his trust today if the trust fund earns

3

percent interest? If he had to wait until age 40 to receive the money, what is the present value today of the

$19 comma 000

to be received in 17 years? Click the following table icon to view the PVIF table

LOADING...

.

The present value,

PV,

of his trust today if the trust fund earns

3

percent interest is

$nothing

.

(Round to the nearest cent.)

The present value,

PV,

if he had to wait until age 40 to receive the money is

$nothing

.

(Round to the nearest cent.)

Explanation / Answer

Value of Fund = $19,000
Annual Interest Rate = 3%

If trust fund is received on 35th birthday:

Present Value = $19,000 * PVIF(3%, 12)
Present Value = $19,000 * 0.70138
Present Value = $13,326.22

If trust fund is received on 40th birthday:

Present Value = $19,000 * PVIF(3%, 17)
Present Value = $19,000 * 0.60502
Present Value = $11,495.38

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