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Your father offers you a choice of \(105,000 in 12 years or \)47,000 today. b. If money is still discounted at 8 percent, but your choice is between \(105,000 in 9 years or \)47,000 today, which should you choose?

Short Answer

Expert verified

The choice of $105,000 in 9 years should be preferred over$47,000 today

Step by step solution

01

Identification of the required information

Future value (FV) = $105,000

Interest Rate (i) = 8%

Period (n) = 9 year

02

Present value (PV)

PV=FV×1+i-n=$105,000×1+8%-9=$52,526.14

03

Final decision

The present value of $105,000 in 9 years is $52,526.14 which is more than $47,000 today. Thus, the option of $105,000 in 9 years should be chosen.

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