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25 June, 21:05

You have a loan outstanding. It requires making three annual payments at the end of the next three years of $3000 each. Your bank has offered to allow you to skip making the next two payments in lieu of making one large payment at the end of the loan's term in three years. If the interest rate on the loan is 5%, what final payment will the bank require you to make so that it is indifferent between the two forms of payment?

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  1. 25 June, 22:18
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    The final payment would be of amount $9000

    Explanation:

    The keywords of the question state that the bank needs an equal amount of money by both of the payment procedures. Hence, no matter which payment method I choose on the outstanding loan, the bank would need a sum of 3x3000 = $9000
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