Alexis3456829
24.06.2021 •
Business
You just inherited a trust that will pay you $100,000 per year in perpetuity. However, the first payment will not occur for exactly five more years. Assuming a 10% annual interest rate, what is the value of this trust?
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Ответ:
PV= $620,921.32
Explanation:
Giving the following information:
Cash flow (Cf)= $100,000
Interest rate (i)= 7.25%
First, we need to calculate the value of the investment at the moment of the first payment (five years from now). To calculate the present value we need to use the following formula:
PV= Cf / i
PV= 100,000 / 0.1
PV= $1,000,000
Now, the value today:
PV= FV / (1 + i)^n
PV= 1,000,000 / (1.1^5)
PV= $620,921.32
Ответ: