Your father offers you a choice of $105,000 in 12 years or $47,000 today. Use Ap
ID: 2741761 • Letter: Y
Question
Your father offers you a choice of $105,000 in 12 years or $47,000 today. Use Appendix B as an approximate answer, but calculate your final answer using the formula and financial calculator methods.
If money is discounted at 8 percent, what is the present value of the $105,000? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Now assume the offer is $105,000 in 9 years or $47,000 today. What is the present value of the $105,000 at 8 percent for 9 years? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
a-1.If money is discounted at 8 percent, what is the present value of the $105,000? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Explanation / Answer
a-1. Present value of $105000 = $105000 x Present value of an annuity @ 8% for 12th year
= 105000 x 0.39711375861
= $41696.94
a-2. Second offer of receiving $47000 today should be chosen.
b-1. Present value of $105000 = $105000 x Present value of an annuity @ 8% for 9th year
= 105000 x 0.5002489671
= $52526.14
b-2. Second offer of receiving $105000 in 9 years should be chosen as the present value of $105000 is greater than $47000.
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