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Hey Guys – I’m working on a Level 1 question regarding volatility. Given is the 3-month annual spot rate for periods Jan-08 through Jan-10. The third column below is the percentage change from one period to the next that I’ve calculated. From this third column, I’ve calculated the standard deviation to be 30.38%. However, I need to annualize this value. I’ve done so by multiplying 30.38% by the square root of 4 since the spot rates are on a 3-month basis arriving at an annualized STD of 2.53%?
Is my methodology correct on this?
3-month annual spot rate (%)
Jan-08Â Â 3%
Apr-08Â Â 2.5%Â Â Â Â Â -16.67%
Jul-08Â Â 2%Â Â Â Â Â Â Â Â -20.00%
Oct-08Â Â 3%Â Â Â Â Â Â Â Â 50.00%
Jan-09Â Â 4%Â Â Â Â Â Â Â Â 33.33%
Apr-09Â Â 5%Â Â Â Â Â Â Â Â 25.00%
Jul-09Â Â 4%Â Â Â Â Â Â Â Â -20.00%
Oct-09Â Â 4.5%Â Â Â Â Â Â 12.50%
Jan-10Â Â 3%Â Â Â Â Â Â Â Â -33.33%
STD =Â Â Â Â 30.38%
Annualized STD =Â Â Â Â 2.53%
Thank you for your help!