Option-A, The Present Value of the amount received today
Present Value of the Lump Sum Payment
Present Value of the Lump Sum Payment would be $10,000 [ie, the total value of the amount received now]
Option-B, The Present Value of the amount received 5 Years from today
Here, we’ve Future Value = $15,000
Annual interest rate (r) = 12.50% per year
Number of years (n) = 5 Years
Therefore, the Present Value = Future Value / (1 + r) n
= $15,000 / (1 + 0.1250)5
= $15,000 / (1.1250)6
= $15,000 / 1.80203247
= $8,323.93
DECISION
We should choose the OPTION-A, since the Present Value of the amount received under OPTION-A ($10,000) is higher than the Present Value of the amount received under OPTION-B ($8,323.93).
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