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8 March, 01:19

Jason's opportunity cost rate is 8 percent compounded annually. How much must he deposit in an account today if he wants to receive $5,400 at the end of each of the next 10 years? Use a financial calculator to determine the amount to be deposited today.

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  1. 8 March, 03:36
    0
    Answer: The answer is $ 11, 658.06

    Explanation:

    Using the compound interest formula

    A = P (1+r/100) ∧n

    A = 5,400 (1+8/100) ∧10

    A = 5,400 (1.08) ∧10

    A = 5,400 (2.1589)

    A = 5,400*2.1589

    A = 11, 658.06

    Therefore, he would deposit $ 11,658.06
  2. 8 March, 04:52
    0
    There're 2 answers:

    1) If he want to receive both interest and principal of $5,400, the amount to be deposited today is $36,234. In this case, he doesn't receive any principal back.

    2) If he want to receive interest of $5,400 only, the amount to be deposited today is $67,500. In this case, he can receive back $67,500 at end of deposit.

    Explanation:

    1) In excel there function to calculate this = PV (rate, number of payment, amount in each payment) = PV (8%,10,5400)

    2) If $5,400 is interest Jason can receive at end of each year = Deposit amount x 8%; thus deposit amount is 67,500 = 5,400/8%
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