Consider two assets, X and Y, with expected returns X = 14.5% and Y = 13.8% and with standard deviations X = 6.3% and Y = 6.7% for those returns. The two assets have a correlation, of -0.6. a. What is the covariance of the returns of stocks X and Y? In general, will constructing a portfolio from these two stocks reduce or increase the risk compared to the individual stocks? Briefly explain. b. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 25% stock X (the remainder stock Y)? c. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 50% stock X (the remainder stock Y)?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Consider two assets, X and Y, with expected returns X = 14.5% and Y = 13.8% and with standard deviations X = 6.3% and Y = 6.7% for those returns. The two assets have a
a. What is the
b. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 25% stock X (the remainder stock Y)?
c. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 50% stock X (the remainder stock Y)?
*NOTE-show work/formulas used in EXCEL
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