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The following table contains monthly returns for Cola Co. and Gas Co. for 2010 B (the returns are shown in decimal form, i.e., 0.035 is
The following table contains monthly returns for Cola Co. and Gas Co. for 2010 B (the returns are shown in decimal form, i.e., 0.035 is 3.5%). Using this table and the fact that Cola Co. and Gas Co. have a correlation of - 0.0969, calculate the volatility (standard deviation) of a portfolio that is 50% invested in Cola Co. stock and 50% invested in Gas Co. stock. Calculate the volatility by: a. Using the formula: Var(R) =WSD (R1)2 +w2SD (R2) +2W, W2 Corr (R1, R2) SD (R1) SD (R2) b. Calculating the monthly retums of the portfolio and computing its volatility directly. c. How do your results compare? a. Using the formula Var(Ro) =w, SD(R1) 2+ w SD (R2) +2w,W2 Corr (R1,R2) S0(R4) SD (R2) The volatility (standard deviation) of the portfolio is %. (Round to two decimal places.) b. Calculating the monthly retums of the portfolio and computing its volatility directly. The volatiltiy (standard deviation) of the portfolio is%. (Round to two decimal places.) c. How do your results compare? (Select the best choice below.) O 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. OB. 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. OC. The two portfolio volatilities, calculated using the Var(Re) formula in part (a) and using the monthly portfolio returns, are the same or almost the same. OD. This cannot be determined from the information given . X Data table Month Cola Co. Gas Co. D 0.0280 January -0.0210 February 0.0000 -0.0050 March -0.0180 -0.0200 0.0090 April May -0.0310 June -0.0840 0.0280 0.0840 -0.0460 0.0820 0.0460 0.0300 July August September -0.1190 -0.0160 0.0550 0.0140 October November December -0.0110 -0.0380 0.0290 -0.0220 0.0740 Print Done
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