Answer:
6.43%
Explanation:
The insurance company will calculate the internal rate of return utilizing the method detailed below:
Cash flows Year involved Present [email protected]% Present [email protected]%
($100) 1-20 ($851) ($1,487.75)
$3,310 20 $492 $1,832.67
($359) $344.92
IRR=A%+ (a/a-b)*(B%-A%)
A%=10% a= ($359) B%=3% b=$344.92
IRR=10%+(-$359/-$359-$344.92)*(3%-10%)
=6.43%
Answer:
$21,370.1071
Explanation:
The calculation for the present value of this perpetuity is as follows:
= Present value five years later + present value at the time of purchase
where,
The present value after five years is
= ($1,000) ÷ (1.04)^5
=$821.9271
Additionally, the present value at the purchase time is
= $821.9271 ÷ 4%
=$20,548.18
Thus, the total present value of the perpetuity is
=$821.9271 + $20,548.18
= $21,370.1071