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olasank [31]
2 years ago
9

You want to buy an annuity that will pay you $1000 per year for 20 years. You find an account that will pay 4% per year, compoun

ded annually. How much must you deposit today in order to fund this annuity?
Business
1 answer:
tresset_1 [31]2 years ago
3 0

Answer:

The amount to be deposited today = $13,590.33

Explanation:

<em>The amount to be paid for the annuity would the sum equal to the present value of the cash flow from the annuity.</em> The present value of an ordinary annuity is determined using the relationship below:

PV of annuity = A× ( (1-(1+r)^(-n) )/r

A- Annual cash flow

r- interest rate per annul

n- Number of years

PV- Present Value of annuity'

DATA

A-1000

r- 4%

n- 20

PV = 1,000 ×( (1 - 1.04^(-20))/0.04 =$13,590.33

The amount to be deposited today = $13,590.33

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