Let the random variable R denote the rate of return on an asset. R has the following pdf.
R P(R=r)
.3 .05
.2 .20
.1 .20
0 .20
-.1 .15
-.2 .10
-.3 .10
a. What is the expected value and variance of R?
b. You are considering investing $150 in this asset. After 1 year, the value will be $150(1+R). What is the expected value and standard deviation of the value of your asset in 1 year?