Question

What is the PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5%? a. $16,576 b. $19,334 c. $18,367 d. $17,449 e. $20,352

Answer 1

Answer:

The correct answer is E.

Explanation:

Giving the following information:

Ordinary annuity with 10 payments of $2,700. The interest rate is 5.5%.

First, we need to calculate the final value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual pay

FV= {2,700*[(1.055^10)-1]}/0.055= $34,763.45

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 34,763.45/(1.055^10)= 20,352