Answer: The life insurance annuity payment is $50,926.10
Explanation:
GIVEN THE FOLLOWING ;
PRESENT VALUE(PV) = $500,000
INTEREST RATE (r) = 8% = 0.08
PERIOD (n) = 20 years
Recall, formula for ordinary annuity:
Annuity = (Rate × PV) ÷ ( 1 - (1 + r)^-n)
Annuity = (0.08 × $500,000) ÷ (1 - (1 + 0.08)^-n)
Annuity = ($40,000) ÷ (1 - (1.08)^-20)
Annuity = $40,000 ÷ 0.7854517925
Annuity = $50,926.10
Therefore, the life insurance annuity payment for 20 years at 8% interest rate will be $50,926.10
Answer:
The annual insurance annuity payment will be $50,926.10
Explanation:
To calculate the annual life insurance annuity, we use the following formula below.
Annuity = (Rate × PV) ÷ ( 1 - (1 + r)^-n)
We have the values been given in the question
Current (PV) = $500,000
Interest rate (r) = 8% /100= 0.08
Duration (n) = 20 years
Substituting the values in to the formula, we have;
Annuity payment = (0.08 × $500,000) ÷ (1 - (1 + 0.08)^-n)
Annuity payment = ($40,000) ÷ (1 - (1.08)^-20)
Annuity payment = $40,000 ÷ 0.7854517925
Annuity payment = $50,926.10
We have $50,926.10 as the annual insurance annuity payment
