Answered

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Suppose payments will be made for 7 1/4 years at the end of each month from an ordinary annuity earning interest at the rate of
4.25%/year compounded monthly. If the present value of the annuity is $47,000, what should be the size of each payment from the
annuity? (Round your answer to the nearest cent.)

Please help!

Sagot :

Kolawole845idn

Answer:

The size of the payment = $628.63

Explanation:

An annuity is a series of equal payment or receipt occurring for certain number of period.

The payment in question is an example of an annuity . We can work back the size of the payment using the present value of the ordinary annuity formula stated below

The Present Value of annuity = A × (1- (1+r)^(-n))/r

A- periodic cash flow,= ? r- monthly  rate of interest - 4.25%/12= 0.354%  

n- number of period- (71/4×12)= 87.

Let y represent the size of the payment, so we have

47,000 = y × ( 1-1.00354^(-87))/0.00354

47,000 = y× 74.76

y =47,000/74.7656= 628.63

The size of the payment = $628.63

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