Answer:
1. $25,000
2. $27,000
Step-by-step explanation:
Here is the complete question :
A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $1000. Each year after that, you will receive a payment on the anniversary of the last payment that is 8% larger than the last payment. This pattern of payments will go on forever. If the interest rate is 12% per year,
a. what is today’s value of the bequest?
b. what is the value of the bequest immediately after the first payment is made?
a. Value today = value of payment /( interest rate - growth rate)
$1000 / (12% - 8%)
$1000 / (0.12 - 0.08)
$1000 / 0.04
= $25,000
b. Value today = [value of payment x ( 1 + growth rate)] /( interest rate - growth rate)
(1000 x 1.08) / (0.12 - 0.08)
1080 / 0.04
= 27,000