g after examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of percent compounded or from a bank at an APR of percent compounded . Which alternative is more attractive? a. If you borrow $ from a finance company at an APR of percent compounded for year, how much do you need to payoff the loan?

question text WITH missing information:

After examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of 12 percent compounded monthly or from a bank at an APR of 13 percent compounded annually. Which alternative is more attractive?

If you borrow $100 from a finance company at an APR of 9% percent compounded for year, how much do you need to payoff the loan?

The finance company option is better as we are taking the loan we want the lower rate possible.

We need $109 to payoff the loan of $100 at 9% annualy after a whole year.

Explanation:

We solve for the effective rate of 12% compounded monthly

= 1.12682503 = 0.126825 = 12.6825%

As this rate is lower than 13% this option is better

If we take 100 dollars after a year we have to pay:

$100 x (1 + r) = 100 x (1 + 0.09) = 100 x 1.09 = $109

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