An investor buys 1 share of Quinjett Ltd at the price of $40 on December 1, 2019. The firm is not expected to pay any dividends. Consider the following four possible scenarios for the share price on December 1, 2020:

• $55 with a probability of 10%
• $46 with a probability of 55%
• $34 with a probability of 25%
• $27 with a probability of 10%

a) Calculate the expected return for holding the share for a year.

b) Calculate the variance of return and standard deviation of return.