47.1k views
0 votes
If the real rate of interest is 6.2% and if the expected

inflation rate is 9.3%, what is the present value of $50,000 to be
received exactly 8 years from today?

User Idubnori
by
7.7k points

1 Answer

4 votes

Final answer:

The present value of $50,000 to be received exactly 8 years from today can be calculated using the present value formula: $50,000 / (1 - 0.031)^8 = $34,334.29.

Step-by-step explanation:

The present value of $50,000 to be received exactly 8 years from today can be calculated using the present value formula:

Present Value = Future Value / (1 + Real Rate of Interest)^(Number of Years)

In this case, the Real Rate of Interest is 6.2% and the expected inflation rate is 9.3%. Since inflation erodes the purchasing power of money over time, we need to adjust the real rate of interest by subtracting the inflation rate.

Present Value = $50,000 / (1 + 0.062 - 0.093)^8

Simplifying the equation, we get:

Present Value = $50,000 / (1 - 0.031)^8 = $50,000 / (0.969)^8

Calculating the value, the present value of $50,000 to be received exactly 8 years from today is approximately $34,334.29.

User Lxusr
by
8.2k points