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22 March, 22:54

Jay's Jams Inc. was just established with an investment of $3 million. Jay expects his company to generate free cash flow of $800,000 a year for the next 10 years. If Jay's cost of capital is 15%, find the market value and book value of his company.

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  1. 22 March, 23:01
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    Book Value is $3 million and market value is $4,013,333.

    Explanation:

    The book value of the project is $3million and the market value of the company is as under:

    The market value of the project can be calculated using the annuity formula which is as under:

    Present Value of the investment = Cash flow * Annuity Factor

    The annuity factor can be calculated using the following formula:

    Annuity Formula = [ (1 - (1+r) ^-n) / r ]

    Here r is 15% and n is 10 years. So by putting the values in the Annuity equation we have:

    Annuity Formula = [ (1 - (1+15%) ^-10) / 15%] = 5.02

    By putting this formula in the present value formula:

    Market value of the investment = $800,000 * 5.02 = $4,013,333
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Home » Business » Jay's Jams Inc. was just established with an investment of $3 million. Jay expects his company to generate free cash flow of $800,000 a year for the next 10 years. If Jay's cost of capital is 15%, find the market value and book value of his company.
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