On 1^st of November 2022, a survey of equity market analysts predicted the following market scenarios and returns for S&P 500 index in 2023, along with the associated probabilities.

Scenario	Probability	Return (%)
Recession	0.2	- 5
Normal	0.5	5
Boom	0.3	15

A.If you believe in the above predictions, then what will be your expected return from the S&P 500 index in 2023? (Show your calculations)

B. Based on the predictions above, what is the estimated volatility of S&P 500 index in 2023? (Show your calculations)