Your current portfolio has a value of $30,000, with an expected return of 15%, and a standard deviation of 20%. You decide you want to purchase $6,000 worth of stock XYZ, which has an expected return of 13%, a standard deviation of 30%, and is perfectly negatively correlated to your current portfolio. What will be your new portfolio's standard deviation after the addition of XYZ?

(Please retain at least 4 decimal places in your calculations.)

O a.11.7%

O b.5.3%

O c.20 7%

O d.13.2%

O e.14.6%