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4 March, 19:32

You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $23,000 at the end of this year and subsequent payments that will thereafter grow at a rate of 0.03 annually. If you use a discount rate of 0.08 for investment products, what is the present value of this growing perpetuity? Round to two decimal places.

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  1. 4 March, 23:06
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    Present Value of the perpetuity = $460,000

    Explanation:

    A perpetuity is a series of equal periodic cash payment or receipt that occurs for the foreseeable future. i. e for an indefinite period of time

    To calculate the Present value of a perpetuity, we use the formula below:

    PV = A / (r-g)

    A - cash flow in year 1, r - discount rate, g - growth rate

    A - 23,000, r - 8%, g - 3%

    PV = 23,000 / (0.08-0.03)

    = $460,000
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