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15 March, 03:05

Jing Associates, LLC, a large law firm in Denver, is building a new office complex. To pay for the construction, Jing Associates is selling a security that will pay the investor the lump sum of $6,750 in five years. The current market price of the security is $5,896. Assuming that you can earn an annual return of 3.75% on your next most attractive investment, how much is the security worth to you today?

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  1. 15 March, 04:24
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    The security worth $5,615 today

    Explanation:

    Amount of Security = $6,750

    Annual rate of return = 3.75%

    number of years = 5 years

    Future value = Present Value x (1 + rate of return) ^number of years

    Present Value = Future value / (1 + rate of return) ^number of year

    Present Value = $6,750 / (1 + 3.75%) ^5

    Present Value = $6,750 / (1 + 0.0375) ^5

    Present Value = $6,750 / (1.0375) ^5

    Present Value = $6,750 / 1.2021

    Present Value = $5,615.17

    Present Value of security is $5,615
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