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Henry paid an annual percentage rate of approximately 28%.

Working through the math, the dishwasher was $320 if bought outright. Henry paid $20 down at the time so he was financing $300 ($320 - $20) and made $340 (10 * $34) in payments over 10 months.

To determine the rate, we use the formula for computing an annuity:

PRINCIPAL = (PMT / PERIODICRATE) * (1 - (1 / ((1 + PERIODICRATE) ^ Periods)))

Where:

PRINCIPAL = amount borrowed = $300

PMT = periodic payment = $34

PERIODS = number of payments = 10

PERIODICRATE= the APR we are looking for divided by 12

Solving for PeriodicRate we get about 2.34%. Multiply by 12 and we get 28.09%.

Using Microsoft Excel, we could use the "rate()" formula as follows:

=rate(10,-34,300) = 2.34% * 12 = 28.09%

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Q: Henry Devine bought a new dishwasher for 320. He paid 20 down and made 10 monthly payments of 34. What actual yearly interest rate did Henry pay?
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