Question

clarissa wants to fund a growing perpetuity that will pay $5000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to grow by 5% per year. Given that the interest rate is 8%, how much does she need to fun this perpetuity

Answer 1

$166,666.67

Step-by-step explanation:

Clarissa wants to take charge of finding a growing perpetuity that will pay a total amount of $5,000 per year to a local museum

She wants the annual amount paid to the museum to grow by 5% per year

= 5/100

= 0.05

The interest rate is 8%

= 8/100

= 0.08

Therefore, the amount used to fund the perpetuity can be calculated as follows

Pvo= $5,000/(0.08-0.05)

= $5,000/0.03

= $166,666.67

Hence Clarissa needs $166,666.67 to fund the perpetuity.