SOLUTION: Two banks are offering different loan opportunities. Bank A offers a loan that charges 2.5903% interest compounded daily (excluding leap years). Bank B offers a loan that charges 2

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Question 1157593: Two banks are offering different loan opportunities. Bank A offers a loan that charges 2.5903% interest compounded daily (excluding leap years). Bank B offers a loan that charges 2.6084% interest compounded quarterly. Determine the APY for each to decide which is offering a better loan.
APY for bank A: round answer to 4 decimal place
APY for bank B: round answer to 4 decimal place.

Answer by ikleyn(53979) About Me  (Show Source):
You can put this solution on YOUR website!
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Two banks are offering different loan opportunities.
Bank A offers a loan that charges 2.5903% interest compounded daily (excluding leap years).
Bank B offers a loan that charges 2.6084% interest compounded quarterly.
Determine the APY for each to decide which is offering a better loan.
APY for bank A: round answer to 4 decimal place
APY for bank B: round answer to 4 decimal place.
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APY for bank A is  %281%2B0.025903%2F365%29%5E365-1 = 1.026240455 - 1 = 0.0262      rounded to 4 decimal places.

APY for bank B is  %281%2B0.026084%2F4%29%5E4-1 = 1.026340252 - 1 = 0.0263  rounded to 4 decimal places.


From these two banks choose one with the lower APY, since their loan will be cheaper to you.

Solved.

I do not explain the numbers in the formulas - they speak for themselves.