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Cola Co. Gas Co. January -0.1084 -0.06 February 0.0236 0.0128 March 0.066 -0.0186 April 0.0201 -0.019 May 0.1836 0.074 June -0.0122 -0.0026 July 0.0225 0.0836

Cola Co. Gas Co.
January -0.1084 -0.06
February 0.0236 0.0128
March 0.066 -0.0186
April 0.0201 -0.019
May 0.1836 0.074
June -0.0122 -0.0026
July 0.0225 0.0836
August -0.0689 -0.0246
September -0.0604 -0.02
October 0.1361 0
November 0.0351 0.0468
December 0.0054 0.0222

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The following table contains monthly returns for Cola Co and Gas Co. for 2013 (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 0.6084, calculate the volatility (standard deviation) of a portfolio that is 55% invested in Cola Co stock and 45% invested in Gas Co stock. Calculate the volatility by a. Using the formula Var(RO) = w S0(R1) 2 + WSD (R2) +2wqw2Corr (R.R2) SO(R) SO(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 (R) = w/SP (R1) 2 + w SD (R2) +2WqW2 Corr (R1, R2) SD (R1) SD (R2) The volatility (standard deviation) of the portfolio is % (Round to two decimal places.) +

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