1. A portfolio of 2 mutual funds, one investing in stocks and the other in bonds: ● ● Stock fund: Bond fund: Seatwork: Compute: 1. E(R) 2. VAR(Rp) 3. SD(Rp) Expected return Allocation Var Cov 12% .50 300 90% 8% .50 200
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- What is the current price per share of the LPEVX mutual fund? 1 2 3 4 5 6 Family/ Fund Symbol NAV Chg YTD % return 3-yr % chg AARP Funds Aggr AAGSX 10.25 0.08 6.2 −1.6 Consrv AACNX 10.55 0.02 4.0 4.0 Mod p AAMDX 10.50 0.05 4.9 1.3 AMF Funds IntMtg ASCPX 4.81 −0.01 0.1 −14.3 LgCpEq IICAX 8.16 0.08 7.5 −2.1 ShtUSGv ASITX 9.36 −0.01 0.2 0.7 UltraShrt p AULTX 5.45 −0.02 3.2 −12.2 UltShrtMtg ASARX 7.39 — 2.4 −4.4 USGvMtg ASMTX 8.64 −0.02 0.2 −0.7 APIEffFrtGrPrim fp APIEffFrtGrPrim fp APITX 8.13 0.10 9.0 −6.5 APIMultIdxPrim APIMultIdxPrim AFMMX 10.98 0.09 4.4 −9.6 AVS LPE Ptf AVS LPE Ptf LPEVX 5.82 −0.01 11.3 NS Aberdeen Fds…Only do question B Consider that 2 investment funds exist. ABC Fund(invested in 50% normal stock and 50% risky bonds) and 123 Fund(invested in 25% High risk stock and 75% normal bonds). Assume you have the following historical data of annual returns: Return S.D. Normal Stock 8% 20% Risky Bonds 10% 35% High Risk Stock 14% 40% Normal Bonds 6% 10% A)If Normal Stock and Risky Bonds have a correlation coefficient of 0.4 and High Risk Stock and Normal Bonds have correlation coefficient of 0 .2. Find the expected return and standard deviation of each Fund. B)Find the optimal risky portfolio if you could only use these two funds; assume the two funds have a correlation coefficient of 0.3. (To do…Consider that 2 investment funds exist. ABC Fund(invested in 50% normal stock and 50% risky bonds) and 123 Fund(invested in 25% High risk stock and 75% normal bonds). Assume you have the following historical data of annual returns: Return S.D. Normal Stock 8% 20% Risky Bonds 10% 35% High Risk Stock 14% 40% Normal Bonds 6% 10% A) If Normal Stock and Risky Bonds have a correlation coefficient of 0.4 and High Risk Stock and Normal Bonds have correlation coefficient of 0 .2. Find the expected return and standard deviation of each Fund. B) Consider that 2 investment funds exist. ABC Fund(invested in 50% normal stock and 50% risky bonds) and 123 Fund(invested in 25% High risk stock and…
- INV 1 6f You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Compare the portfolios in #4 and #5. Is this consistent with what you would expect when adding the T-bill money market fund as essentially the risk-free asset?Consider the following trading and performance data for four different equity mutual funds: Fund W Fund X Fund Y Fund Z Assets Under Management, $ 289.40 $ 653.70 $ 1,298.40 $ 5,567.30 Avg. for Past 12 Months (mil) Security Sales, Past 12 Months (mil) $ 37.20 $ 569.30 $ 1,453.80 $ 437.10 Expense Ratio 0.33% 0.71% 1.13% 0.21% Pretax Return, 3-Year Avg. 9.98% 10.65% 10.12% 9.83% Tax-Adjusted Return, 3-Year Avg. 9.43% 8.87% 9.34% 9.54% a. Calculate the portfolio turnover ratio for each fund. b. Which two funds are most likely to be actively managed and which two are most likely passive funds? Explain. c. Calculate the tax cost ratio for each fund. d. Which funds were the most and least tax efficient in the operations? Why?INV 1 6d You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Without the money market fund, what would be the weights of a portfolio on the best feasible CAL, composed of the equities and bond funds which would be expected to return 10%, and what would be its standard deviation?
- Suppose you are the money manager of a $4.82 millioninvestment fund. The fund consists of four stocks with the following investments and betas:Stock Investment BetaA $ 460,000 1.50B 500,000 (0.50)C 1,260,000 1.25D 2,600,000 0.75If the market’s required rate of return is 8% and the risk-free rate is 4%, what is the fund’s required rate of return?A portfolio manager is considering investing in two mutual funds and the risk free asset (T-Bills). The data for these securities is give by: ER. σ Stock Fund (S) 18% 23% Bond Fund(B) 6% 13% T-Bill 5% 0% The correlation between the two funds is -0.1 One mutual fund’s portfolio, M, is reached by investing 42% in stocks and 58% in bonds. Calculate the expected return, standard deviation and Sharpe Ratio of this and draw the Capital Allocation Line (CAL) that is associated with the portfolio M you calculated in (a). In addition, sketch the minimum variance frontier in the same graph (no further calculations needed). Indicate on your graph which part of the frontier is the efficient set.Assume that you are the portfolio manager of the Forestie Fund, a $3 million hedge fund thatcontains the following stocks. The required rate of return on the market is 11.00% and therisk-free rate is 5.00%. Compute what is the portfolio’s required return should investors expecton this fund? (Please state your answer in 2 decimal points)Stock Amount BetaA $1,075,000 1.20B $675,000 0.50C $750,000 1.40D $500,000 0.75
- In the table below, expected return and standard deviations are provided for bond and equity funds. If the correlation between the funds is 0.3, find the covariance between these two funds. Bond Equity Expected Return 5% 10% Standard Deviation 8% 20% Group of answer choices 0.0036 0 -0.0036 0.0048INV 1 6c You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Determine the best feasible CAL and calculate its reward-to-volatility ratio.Suppose you manage an equity fund with the following securities. A client invests partially in your fund and partially in Treasury Bills. The Crown and Rose Fund Expected Return Percent of Portfolio Burrfoot Enterprises 9.50% 15% Majere Brothers, Incorporated 13.50% 20% Uth Matar Limited 4.50% 10% Lance Medical Supplies 16.50% 35% Starbreeze Jetliners 18.50% 20% Market Data Rate of Return Standard Deviation Treasury Bills 2.50% 0.00% S&P 500 12.00% 20.00% Investor Data Portfolio Composition Standard Deviation Treasury Bills 30.00% 0.00% The Crown and Rose Fund 70.00% 20.00% Required: Using the information in the table above, please first calculate the expected return of the fund and the expected return and standard…
