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31 May, 11:39

A financial planning service offers a college savings program. The plan calls for you to make six annual payments of $15,800 each, with the first payment occurring today, your child's 12th birthday. Beginning on your child's 18th birthday, the plan will provide $35,000 per year for four years. What return is this investment offering?

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  1. 31 May, 15:16
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    The financial service requires a total payment of $94,800, distributed in 6 annual payments of $15,800. Once said amount has been paid, the company invests said money and after the course of 6 years, pays 4 annual payments of $35,000, that is, a total payment of $140,000. In this way, after 10 years of the first payment by the client, this operation ends with a monetary gain on the part of the client of $45,200 (140,000 - 94,800).

    Now, to know how much interest is being offered by this investment, we must perform the following cross multiplication:

    94,800 = 100

    45,200 = X

    (45,200 x 100) / 94,800 = X

    4,520,000 / 94,800 = X

    47.67 = X

    As we can see, this operation offers a return of 47.67% in interests.
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