You have gathered the following information about a particular stock and the S&P 500. Use the following page for your calculations, show answers on this page.

Outcome	Probability	Stock X	S&P 500
1	.10	+25%	+12%
2	.20	+10%	+2%
3	.40	+14%	+5%
4	.20	+3%	-4%
5	.10	-10%	+6%

Calculate the expected return and standard deviation for both Stock X and the S&P 500.

Calculate the covariance and the correlation between Stock X and the S&P 500.

If a portfolio consisted of 20% X, and 80% S&P 500, calculate the expected return and standard deviation of that portfolio