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volatility (standard deviation) of a portfolio that is 65% invested in Cola Co. stock and 35% invested in Gas Co. stock. Calculate the volatility by:
volatility (standard deviation) of a portfolio that is 65% invested in Cola Co. stock and 35% invested in Gas Co. stock. Calculate the volatility by: a. Using the formula: Var(Rp)=w12SD(R1)2+w22SD(R2)2+2w1w2Corr(R1,R2)SD(R1)SD(R2) b. Calculating the monthly returns of the portfolio and computing its volatility directly. c. How do your results compare? a. Using the formula: Var(Rp)=w12SD(R1)2+w22SD(R2)2+2w1w2Corr(R1,R2)SD(R1)SD(R2) The volatility (standard deviation) of the portfolio is .. (Round to two decimal places.) b. Calculating the monthly returns of the portfolio and computing its volatility directly. The volatiltiy (standard deviation) of the portfolio is 6 . (Round to two decimal places.) c. How do your results compare? (Select the best choice below.) A. The portfolio volatility calculated using the Var(RP) formula in part (a) is much larger than the portfolio volatility calculated used the monthly portfolio returns. B. The portfolio volatility calculated using the Var(RP) formula in part (a) is much smaller than the portfolio volatility calculated used the monthly portfolio returns. C. The two portfolio volatilities, calculated using the Var(RP) formula in part (a) and using the monthly portfolio returns, are the same or almost the same. D. This cannot be determined from the information given. \begin{tabular}{crr} Month & Cola Co. & Gas Co. \\ \hline January & -0.0210 & 0.0280 \\ February & 0.0000 & -0.0050 \\ March & -0.0200 & -0.0180 \\ April & 0.0090 & 0.0280 \\ May & -0.0310 & 0.0840 \\ June & -0.0840 & -0.0460 \\ July & -0.1190 & 0.0820 \\ August & -0.0160 & 0.0460 \\ September & 0.0550 & 0.0300 \\ October & -0.0110 & 0.0140 \\ November & -0.0380 & 0.0290 \\ December & -0.0220 & 0.0740 \\ \hline \end{tabular}
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