An ordinary annuity selling at $14,130.15 today promises to make equal payments at the end of each year for the next twelve year

Question

4 years ago

15

An ordinary annuity selling at $14,130.15 today promises to make equal payments at the end of each year for the next twelve year

s (N). If the annuity’s appropriate interest rate (IN) remains at 8.00% during this time, the annual annuity payment (PMT) will be

Business

1 answer:

lutik1710 [3] · Answer 1 · 2022-02-05T14:58:32+03:00

Answer:

PMT = $1875.00

Explanation:

The annuity refers to a series of fixed payments made after an equal interval of time and for a definite time period. The formula for the present value of annuity is,

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<u>For ordinary annuity</u>

PV of annuity = PMT * [(1 - (1+IN)^-n) / IN]

Plugging in the values for the available variables. We calculate the PMT to be,

14130.15 = PMT * [(1 - (1+0.08)^-12) / 0.08]

14130.15 = PMT * 7.536078017

14130.15 / 7.536078017 = PMT

PMT = $1875.000493 rounded off to $1875.00