An investor buys 1 share of ABC Ltd at the price of $30 on December 1, 2021. The firm is not expected to pay any dividends. Consider the following four possible scenarios for the share price on December 1, 2021

• $50 with a probability of 15%
• $34 with a probability of 55%
• $27 with a probability of 20%
• $20 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.

c) On December 1, 2021, it turns out that the share is worth $37, and the investor also just received a dividend of $4. Calculate the total holding period return and capital gains return over the one-year period.