In: Finance
1. Which would you prefer: $50,000 today, $100,000 ten years from now, or $150,000 twenty years from now? Answer this question in the face of each of three different scenarios: annual interest rates of 3%, 5%, and 7%.
scenario 1- when interest rate is 3% |
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present value of 50000 today |
50000/(1.03)^0 |
50000 |
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present value of 100000 10 years from now |
pv = fv/(1+r)^n |
100000/(1.03)^10 |
74409.39 |
|
present value of 150000 20 years from now |
pv = fv/(1+r)^n |
150000/(1.03)^20 |
83051.36 |
|
1- |
I would prefer 150000 20 years from now |
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scenario 2- when interest rate is 5% |
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present value of 50000 today |
50000/(1.05)^0 |
50000 |
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present value of 100000 10 years from now |
pv = fv/(1+r)^n |
100000/(1.05)^10 |
61391.33 |
|
present value of 150000 20 years from now |
pv = fv/(1+r)^n |
150000/(1.05)^20 |
56533.42 |
|
2- |
I would prefer - 100000 10 years from now |
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scenario 3- when interest rate is 7% |
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present value of 50000 today |
50000/(1.07)^0 |
50000 |
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present value of 100000 10 years from now |
pv = fv/(1+r)^n |
100000/(1.07)^10 |
50834.93 |
|
present value of 150000 20 years from now |
pv = fv/(1+r)^n |
150000/(1.07)^20 |
38762.85 |
|
3- |
I would prefer - 100000 10 years from now |