Supppose you lend a friend $100 on January 1st, and in return she o↵ers to pay you back $10 at the start of each month (including this month, for some weird reason) for one year (the last payment is January 1st of the next year). What is the present value of this deal if you assume a market rate of 5% APR compounding monthly? Is the present value worth more than the $100 you leant her? (You don’t have to use a calculator for this problem, but you might want to).

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