What effective annual interest rate is he really paying


Problem

Sergeant Jess Frugal has the problem of running out of money near the end of each month (he gets paid once a month). Near his army base there is a payday lender company, called Predatory Lenders, Inc., that will give Jess a cash advance of $350 if he will repay the loan a month later with a post-dated check for $375. Almost as soon as Frugal's check for $375 clears the bank, he unfortunately must again borrow $350 to make ends meet. Jess's wife has gotten a bit concerned that her husband might be paying an exorbitant interest rate to this payday lender. Assuming Jess has repeated this borrowing and repayment scheme for 12 months in a row, what effective annual interest rate is he really paying? Is Jess's wife correct in her worry? Hint: Draw a cash-flow diagram from the viewpoint of the lender.

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Microeconomics: What effective annual interest rate is he really paying
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