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Determine the present value if $5,000 is received in the future (at the end of seven years) with an interest rate of 7 percent.

A. $2,114
B. $4,114
C. $3,114
D. $1,314

Answer :

Final Answer:

  • For $2,114: The present value is approximately $1,465.84
  • For $4,114: The present value is approximately $2,848.56
  • For $3,114: The present value is approximately $2,155.59
  • For $1,314: The present value is approximately $910.30

Explanation:

To calculate the present values of future amounts at a 7 percent interest rate for seven years, you can use the following formula for the present value (PV) of a single future sum:

PV = FV / (1 + r)^n

Where:

PV is the present value.

FV is the future value.

r is the interest rate.

n is the number of years.

Let's calculate the present values for each of the indicated future amounts:

For $2,114:

PV = 2,114 / (1 + 0.07)^7

PV ≈ $1,465.84

For $4,114:

PV = 4,114 / (1 + 0.07)^7

PV ≈ $2,848.56

For $3,114:

PV = 3,114 / (1 + 0.07)^7

PV ≈ $2,155.59

For $1,314:

PV = 1,314 / (1 + 0.07)^7

PV ≈ $910.30

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