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Imagine you are making a $1000 purchase with different payment options. Which of the following
would you pay the LEAST (you may need a spreadsheet or calculator)?
A. 8% APR, no payments for the first 6 months, then 6 monthly payments
B. 10% APR, with 12 monthly payments
C. 12% APR, with 6 monthly payments
D. Not sure how to calculate these values to know total cost

Sagot :

anthougo

The payment option that pays the LEAST is B. B. 10% APR, with 12 monthly payments, as it pays back a total of $1,008.33, for borrowing $1,000.

How to calculate payment options:

Payment options can be computed using an online finance calculator as follows:

The option that pays the least total cost should be chosen.

Data and Calculations:

Loan payment = $1,000

A. 8% APR, no payments for the first 6 months, then 6 monthly payments:

Amount after 6 months = $1,040 ($1,000 + $1,000 x 0.08 x 1/2)

N (# of periods) = 1

I/Y (Interest per year) = 8%

PV (Present Value) = $1,040

FV (Future Value) = $0

Results:

PMT = $174.49

Sum of all periodic payments = $1,046.93 ($174.49 x 6)

Total Interest =$46.93 ($40 + $6.93)

B. 10% APR, with 12 monthly payments:

N (# of periods) = 1

I/Y (Interest per year) = 10%

PV (Present Value) = $1,000

FV (Future Value) = $0

Results:

PMT = $84.03

Sum of all periodic payments = $1,008.33

Total Interest = $8.33

C. 12% APR, with 6 monthly payments:

N (# of periods) = 1

I/Y (Interest per year) = 12%

PV (Present Value) = $1,000

FV (Future Value) = $0

Results:

PMT = $168.33

Sum of all periodic payments = $1,010.00

Total Interest $10.00

Thus, the payment option that pays the LEAST is Option B.

Learn more about periodic payments at https://brainly.com/question/24244579

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