High School

What is the value of the following growing perpetuity if the payment in year 1 is $125, the interest rate is 7%, and the growth rate per period is 3% (Rounded)? 3125 2200 1537 2500 4122

Answer :

The value of the perpetuity if the payment is $ 125 and the rate if 7 % would be A. $ 3, 125.

How to find the value of the perpetuity ?

To calculate the value of a growing perpetuity, we can use the formula:

Value = Payment / (Interest rate - Growth rate)

In this case, the payment in year 1 is $125, the interest rate is 7% (0.07), and the growth rate per period is 3% (0.03).

Value = $125 / (0.07 - 0.03)

Value = $125 / 0.04

Value = $3,125

Therefore, the value of the growing perpetuity in this scenario is $3,125.

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