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15 June, 01:57

The spot price of an investment asset that provides an income of $2 at the end of the first year and $2 at the end of the second year is $30 and the risk-free rate for all maturities (with continuous compounding) is 10%. The three-year forward price is:

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  1. 15 June, 02:00
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    Calculation of three year forward price:

    Present value of income from an investment asset

    2 * e^ (-0.1 * 1) + 2 * e^ (-0.1 * 2)

    = 2e^ (-0.1) + 2e^ (-0.2)

    = 2 * 0.9048 + 2 * 0.8187

    = 1.8096 + 1.6374

    = $ 3.447

    Three year forward price = (30 - 3.447) * e^ (0.1 * 3)

    = 26.553 * e^0.3

    = 26.553 * 1.3499

    = $ 35.84
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