Question

In: Finance

A 5-year, $100 ordinary annuity has an annual interest rate of 4%.

A 5-year, $100 ordinary annuity has an annual interest rate of 4%.

 1. What is its present value?

 2. What would the present value be if it was a 10-year annuity?

 3. What would the present value be if it was a 25-year annuity?

 4. What would the present value be if this was a perpetuity?

Solutions

Expert Solution

1 ) We are given the following information:

PMT $100.00
r 4.00%
n 5
frequency 1

We need to solve the following equation to arrive at the required PV

2)We are given the following information:

PMT $                  100.00
r 4.00%
n 10
frequency 1

We need to solve the following equation to arrive at the required PV

3) We are given the following information:

PMT $                  100.00
r 4.00%
n 25
frequency 1

We need to solve the following equation to arrive at the required PV

4) PV for a perpetuity is calculated by solving the following equation:


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