Question

In: Finance

1. Which would you prefer: $50,000 today, $100,000 ten years from now, or $150,000 twenty years...

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%.

Solutions

Expert Solution

scenario 1- when interest rate is 3%

present value of 50000 today

50000/(1.03)^0

50000

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

scenario 2- when interest rate is 5%

present value of 50000 today

50000/(1.05)^0

50000

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

scenario 3- when interest rate is 7%

present value of 50000 today

50000/(1.07)^0

50000

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


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