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Gas Co. The following table contains monthly returns for Cola Co. and Gas Co. for 2010 (the retums are shown in decimal form, i.e., 0.035
Gas Co. The following table contains monthly returns for Cola Co. and Gas Co. for 2010 (the retums 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; SD (R1) 2+w? SD (R2) +2W, W2 Corr (R4, R2) SD (R4) SD (R2) Data Table X b. Calculating the monthly returns of the portfolio and computing its volatility directly. c. How do your results compare? Month Cola Co. a. Using the formula: January - 0.1084 -0.0600 Var(Ro) = w} SD (R4) 2 + w SD (R2) +2w, wz Corr (R.R3) SD (R1) SD (R2) February 0.0236 0.0128 The volatility (standard deviation) of the portfolio is %. (Round to two decimal places.) March 0.0660 -0.0186 April 0.0201 -0.0190 May 0.1836 0.0740 -0.0122 -0.0026 July 0.0225 0.0836 August -0.0689 -0.0246 September -0.0604 -0.0200 October 0.1361 0.0000 November 0.0351 0.0468 December 0.0054 0.0222 June Print Done
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