If Asset A has a return of 10 percent with a weight of 40 percent, and Asset B has a return of 20 percent with a weight of 60 percent, what is the portfolio expected return?

Correct answer: 16 percent

Explanation

Portfolio Return = w1*r1 + w2*r2 = 0.4*10 + 0.6*20 = 16.

Other questions

Question 1

How is the expected return of a portfolio calculated?

Question 2

Which component is added to the weighted individual variances to calculate the variance of a two-asset portfolio?

Question 3

What is the relationship between covariance and correlation?

Question 5

In a three-asset portfolio, how many covariance terms are included in the variance calculation?

Question 6

Which of the following is required to calculate Covariance using a Joint Probability Function?

Question 7

What does Mean-Variance Analysis primarily weigh against each other?

Question 8

Which assumption is essential for Mean-Variance Analysis to hold exactly?

Question 9

Under what condition regarding returns does Mean-Variance Analysis hold?

Question 10

What utility function allows Mean-Variance Analysis to hold?

Question 11

How is Roy's Safety First Ratio (SFR) calculated?

Question 12

When using Roy's Safety First Rule, which portfolio should an investor select?

Question 13

An investor has a Minimum Acceptable Return of 5 percent. Portfolio A has an Expected Return of 20 percent and a Standard Deviation of 15 percent. What is the SFR?

Question 14

If Portfolio B has an SFR of 2, and the Minimum Acceptable Return is 5 percent, what does this imply about the Shortfall Risk compared to a portfolio with an SFR of 1?

Question 15

Shortfall risk represents the probability of what event?

Question 16

What is Value at Risk (VaR) primarily used to measure?

Question 17

Which technique estimates losses in extremely unfavorable combinations of events?

Question 18

If a portfolio has a standard deviation of 12 percent and a weight of 100 percent in a single asset, what is the portfolio variance?

Question 19

Given: Covariance(A,B) = 0.00288. If the weights of A and B are 40 percent and 60 percent respectively, what is the contribution of the covariance term to the portfolio variance?

Question 20

Calculate the expected return E(A) given the following joint probabilities: 30 percent chance of 10 percent return, 20 percent chance of 12 percent return, 50 percent chance of 20 percent return.

Question 21

If E(A) = 15.40 percent, E(B) = 10.30 percent, and E(AB) = 1.81 percent, what is the Covariance between A and B?

Question 22

What does a correlation of 0.3 between Asset A and Asset B imply?

Question 23

In the calculation of standard deviation for a portfolio, what is the final step after calculating the variance?

Question 24

If returns are normally distributed, which two parameters fully describe the distribution?

Question 25

If an investor is risk-neutral, how would they view Mean-Variance Analysis?

Question 26

What is the formula for covariance given correlation?

Question 27

Calculate the Safety First Ratio if Expected Return is 25 percent, Minimum Acceptable Return is 5 percent, and Standard Deviation is 10 percent.

Question 28

Why do investors look for the left of -1 or -2 in normal distribution tables when calculating Shortfall Risk?

Question 29

If Portfolio A has a Shortfall Risk of 15.86 percent and Portfolio B has a Shortfall Risk of 2.27 percent, which is preferable according to Roy's Safety First Rule?

Question 30

Which of the following is an example of a parameter used in specifying Value at Risk (VaR)?

Question 31

In the context of covariance calculation, what is 'E(AB)'?

Question 32

Calculate the weighted covariance term (2*Wa*Wb*Cov) if Wa=0.5, Wb=0.5, and Covariance=0.04.

Question 33

What does a negative covariance between two assets indicate?

Question 34

Why might Mean-Variance Analysis be useful even if assumptions are violated?

Question 35

When calculating expected return for a portfolio with unequal weights, which operation is performed?

Question 36

Calculate portfolio variance: Weight A = 0.4, SD A = 0.08, Weight B = 0.6, SD B = 0.12, Correlation = 0.3.

Question 37

What is the portfolio standard deviation if the portfolio variance is 0.0075904?

Question 38

If two assets have a correlation of 1.0, what is the effect on portfolio standard deviation compared to a correlation of 0.3?

Question 39

Which measure is best for comparing portfolios when the investor cares about avoiding returns below a specific target?

Question 40

Assuming 250 trading days in a year, how is a daily return of 2 percent annualized (simple scaling)?

Question 41

What is the 'Sigma Scaling rule' for annualizing daily standard deviation?

Question 42

If Portfolio A has an expected return of 10 percent and Portfolio B has an expected return of 12 percent, what is the expected return of a portfolio invested 50/50 in both?

Question 43

Stress testing is used to address the limitations of which measure?

Question 44

When calculating the covariance of a portfolio with 3 assets, how many variance terms (squared terms) are in the formula?

Question 45

What does a Joint Probability table display?

Question 46

If the Safety First Ratio is negative, what does this indicate?

Question 47

Which method is described as 'weighing risk against reward'?

Question 48

In the MVA framework, what type of investor behavior is assumed?

Question 49

What is E(AB) if E(A) is 10 percent, E(B) is 5 percent, and Covariance is 0.001?

Question 50

Scenario analysis differs from VaR because: