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17 November, 10:43

On March 31, Dower Publishing discounted a $30,000 note at a local bank. The note was dated February 28 and required the payment of the principal amount and interest at 6% on May 31. The bank's discount rate is 8%.

How much cash will Dower receive from the bank on March 31?

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  1. 17 November, 13:56
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    Dower will receive $30,856

    Explanation:

    on March 31 the bank will discount the future value of the note at 8% discount rate:

    principal x (1 + rate x time) = future value of the note

    30,000 x (1 + 0.06 x 3/12*) = 30,450

    Now, we solve for the discounte value at march 31 using an 8% discount rate:

    30,450 x (1 - 0.08 x 2/12) = 30.856

    *From Feb 28th to May 31th we have a 3-month period

    **we have two month-lapse between maturity and discount date
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