Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A portfolio is composed of two securities, Stock X and Stock Z. Stock X has a standard deviation of returns of 35%, while Stock Z has a standard deviation of returns of 15%. The correlation coefficient between the returns on X and Z is .25. If Stock X comprises 40% of the portfolio, while Stock Z comprises 60% of the portfolio, what is the standard deviation of this two-risky-asset portfolio

Sagot :

Shahzaibfaraz

Answer:

Portfolio SD = 0.18439 or 18.439%

Explanation:

The standard deviation of a stock or a portfolio is the measure of the total risk contained in the stock or portfolio. Risk can be defined as the volatility of the stock returns. To calculate the standard deviation of a two stock portfolio, we use the attached formula.

If the weight of stock x is 40%, the weight of stock y will be 1 - 40% = 60%

SD = √(0.4)^2 * (0.35)^2 + (0.6)^2 * (0.15)^2 + 2 * 0.4 * 0.6 * 0.25 * 0.35 * 0.15

SD = 0.18439 or 18.439%

View image Shahzaibfaraz
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.