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Leon Smith will receive $84,800 on 5 years from now, from a trust fund established by his father

Accounting Aug 12, 2020

Leon Smith will receive $84,800 on 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 12% (compounded semiannually), what is the present value of this amount today? (Round factor values to 5 decimal places, e.g. 1.25124. Round answers to the nearest whole dollar, e.g. 5,275.)

 

Expert Solution

Computation of the present value:-

Future value = Present value*(1+Rate)^n

Here,

Rate = 12%/2 = 6% (semiannual)

n = 5*2 = 10 periods (semiannual)

$84,800 = Present value*(1+6%)^10

Present value = $84,800 / 1.79085

= $47,351.88 Or $47,352

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