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23 June, 07:56

Annuities are a series of constant cash flows that have been received over a certain period of time. However, not all annuities are created equal. Some annuities adjust the payments based on certain macroeconomic factors. Growing annuities are a series of payments that grow at a rate. You invested in an aggressive growth fund and expect to earn 19.08% annually over the next five years. However, due to strong growth, inflation is expected to be 9.45%. What should be your expected real rate of return

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  1. 23 June, 09:49
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    Constant

    8.80%

    Explanation:

    The growing annuities refers to the series of payments that grow at a constant rate

    And, the expected real rate of return is

    As we know that

    Real rate of return = { (1 + nominal rate of return) : (1 + inflation rate) } - 1

    = { (1 + 19.08%) : (1 + 9.45%) } - 1

    = (1.1908 : 1.0945) - 1

    = 8.80%

    Simply we applied the above formula to determine the expected real rate of return
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