CFA CFA Level 1 Cost of Capital

Cost of Capital

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    • Avatar of fmccrayfmccray
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        • CFA Level 1
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        May i ask for help on this? Thank you in advance.

        This question is asking for Cost of equity.

        Project Beta 1.5

        Risk free rate 3%

        Market risk premium 8%

        Country risk premium for China 2.6%

        a – 18.9%

        b- 14.40%

        c- 10.40%

        the answer key has 18.9% is correct.

        but, what i calculated following the formula is 14.40%.

        Ke = frf+B((Risk premium) – frf + CRP)

        Ke= 0.03+1.5(0.08-0.03+0.026)

        Ke= .1440

        to get 18.9% i have to exclude 0.03 from risk premium. but if i do it according to formula is .1440.

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        5
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        Hi @fmccray , of course you can ask questions, that’s what this community is for 🙂

        Your formula is correct: Ke = risk-free rate (rfr) + B [ E(Rm) – rfr + CRP ]

        However, the question had a little “trick” here, where they provided the info Market Risk Premium = E(Rm) – rfr = 8%, which already takes into account the risk free rate, hence a ‘premium’ over the rfr.

        So your Cost of Equity, Ke = rfr + B*[8% + CRP] = 3% + 1.5*(8% + 2.6%) = 18.9%

      • Avatar of fmccrayfmccray
        Participant
          • CFA Level 1
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          Thank you Sophie.

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