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A monthly perpetuity of $100 will start 6 months from today. If the discount rate is 6% APR compounded monthly, what is the value of

A monthly perpetuity of $100 will start 6 months from today. If the discount rate is 6% APR compounded monthly, what is the value of the perpetuity today (at time t=0)?

A store offers a 'special deal' to lend us $5,500 today, whereby you pay off the loan in one year with 12 monthly payments of $500 each, with the first payment due 1-month from today. What effective annual rate (EAR) are they charging us on the loan?

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