Use the following table to calculate the expected return from the asset. Return Probability 0.1 0.25 0.2 0.5 0.25 0.25 20.00% 18.75% 17.50% 15.00%
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Use the following table to calculate the expected return from the asset.
| Return | Probability |
| 0.1 | 0.25 |
| 0.2 | 0.5 |
| 0.25 | 0.25 |
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- Asset M Asset N j P?? Return, ?? P?? Return, ?? 1 0.25 10% 0.15 10% 2 0.25 -6% 0.30 8% 3 0.15 2% 0.20 15% 4 0.20 5% 0.05 0% 5 0.15 20% 0.30 -2% Calculate the expected value of return, ?̅, for each of the two assets. Which provides the largest expected return? Calculate the standard deviation, ?? , for each of the two assets’ returns. Which appears to have the greatest risk? Calculate the portfolio expected return if you invest 27% of your wealth in M and 73% inN, of your total wealth of $40,000.Assuming the following returns and corresponding probabilities for Asset D: Rate of Return Probability 10% 30% 15% 40% 20% 30% Compute for: a. Expected rate of return b. The standard deviation c. The coefficient of variationConsider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions state Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Estimate the equation of the efficiency frontier.
- You have data on the following assets: asset Expected return Standard DeviationA 15.0% 21.0%B 15.5% 20.2%C 18.0% 25.0% Calculate the coefficient of variation for each of the assets. Which one is the best investment option?15. Consider the following possible returns over the next year on an asset.Return Probability–£40 0.5£40 0.5What is the standard deviation of return of the asset.State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 A. Calculate the expected return (mean) for each security.
- What range of returns should you expect to see with a 99 percent probability on an asset that has an average return of 11.33 percent and a standard deviation of 24.88 percent?Question 3 Assume you are given the following information regarding the expected returns for an asset, for different states of the economy. Show work for all parts requiring computation. state. probability expected return Recession 0.1 -0.04 normal 0.5 0.07 expansion 0.4 0.12 What is the expected return for the asset? What is the standard deviation of returns for the asset?Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)
- Assume that you have obtained the following information for Asset A: Rate of Return Probability 5.5% 25% 7.25% 55% 11% 20% Compute the expected rate of return for Asset A, using the information provided in thechart above Assume that the standard deviation of the expected returns for Asset A is 1.87%. With information and the expected rate of return that you calculated for Asset A in Part A of this problem, compute the co-efficient of variation for Asset A.You have been given the expected return data shown in the first table on three assets—F, G, and H—over the period 2018-2021 Year Asset F Asset G Asset H 2019 5 12 12 2020 10 9 7 2021 13 21 4 2022 6.5 6 10.5 Using these assets, you have isolated the three investment alternatives shown in the following table. Alternative Investment 1 100% of asset G 2 40% of asset F and 60% of asset G 3 50% of asset F and 50% of asset H Calculate the expected return over the 4-year period for each of the three alternative Calculate the standard deviation of returns over the 4-year period for each of the three alternatives. Use your findings in parts a and b to calculate the coefficient of variation for each of the three alternatives. On the basis of your findings, which of the three investment alternatives do you recommend? Why?Darren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset. b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy.