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Multiple Choice
If the interest rate is 6\% per year, what is the present value (PV) of \$1,000 to be received in 3 years? (Assume annual compounding.)
A
$1,180.00
B
$943.40
C
$839.62
D
$1,060.00
Verified step by step guidance
1
Identify the formula for calculating the present value (PV) of a future amount using annual compounding: PV = \( \frac{FV}{(1 + r)^n} \), where FV is the future value, r is the annual interest rate (expressed as a decimal), and n is the number of years.
Substitute the given values into the formula: FV = 1000, r = 0.06 (6% expressed as a decimal), and n = 3.
Simplify the denominator by calculating \( (1 + r)^n \): \( (1 + 0.06)^3 \).
Divide the future value (FV) by the result of the denominator: \( PV = \frac{1000}{(1 + 0.06)^3} \).
The result of this calculation will give you the present value (PV) of $1,000 to be received in 3 years at an annual interest rate of 6%.