Can someone help me with my assignment? I need it by Monday 2pm EDT.

File is attached. Thanks!

***NOTES FROM PROFESSOR*** Dear Students, The iShares 13 Year Treasury Bond ETF (SHY)is a short term bond fund where the adjusted closing prices in Yahoo Finance represent monthly adjusted closing prices just like for your two stocks and the SPDR S&P 500 Index ETF. This risk free calculation is not like the ^IRX on the Tegrity video for Project 2 where ^IRX's values in Yahoo were annualized yields. To find the risk free rates with SHY you find the normal monthly returns with the adjusted closing prices like P1/P0 1 to find the risk free rate for period 1. The adjusted closing price for September 20 2015 is $84.95; do not divide this by 1200 to get a 7.08% risk free return. The correct RF rate for September 2015 is calculated by using the adjusted closing prices for August and September 2015 = 84.95/84.70 1 = .002952 = . 2952%. Have fun studying QUESTION 1 Q1: Index Models: Version C: Download 61 months (September 2010 to September 2015) of monthly data for the SPDR S&P 500 Index ETF (symbol = SPY). Download 61 months (September 2010 to September 2015) of Microsoft Corporation data (symbol = MSFT) and 61 months (September 2010 to September 2015) of Wells Fargo & Company data (symbol = WFC). Download 61 months (September 2010 to September 2015) of iShares 1-3 Year Treasury Bond ETF data (symbol = SHY). Be sure to use end-of-month data! Construct the following on a spreadsheet: 1. Calculate 60 months of returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. (Please compute simple monthly returns not continuously compounded returns.) Use October 2010 to September 2015. Note this means you need price data for September 2010. On the answer sheet report the average monthly returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. 2. Calculate excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. Use the monthly returns on the iShares 1-3 Year Treasury Bond ETF as your monthly risk-free return. On the answer sheet report the average monthly excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. 3. Regress excess Microsoft returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 4. Use equation 8.10 to decompose total risk for Microsoft into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Microsoft. 5. Regress excess Wells Fargo returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 6. Use equation 8.10 to decompose total risk for Wells Fargo into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Wells Fargo. 7. Use equation 8.10 to estimate the covariance and correlation of Microsoft and Wells Fargo excess returns. QUESTION 2 Q2: CAPM and APT: 1. The expected rate of return on the market portfolio is 9.50% and the risk-free rate of return is 1.00%. The standard deviation of the market portfolio is 17.75%. What is the representative investor's average degree of risk aversion? 2. Stock A has a beta of 1.90 and a standard deviation of return of 36%. Stock B has a beta of 3.95 and a standard deviation of return of 68%. Assume that you form a portfolio that is 60% invested in Stock A and 40% invested in Stock B. Using the information in question 1, according to CAPM, what is the expected rate of return on your portfolio? 3. Using the information in questions 1 and 2, what is your best estimate of the correlation between stocks A and B? 4. Your forecasting model projects an expected return of 17.50% for Stock A and an expected return of 33.75% for Stock B. Using the information in questions 1 and 2 and your forecasted expected returns, what is your best estimate of the alpha of your portfolio when using CAPM to determine a fair level of expected return? 5. A different analyst uses a two-factor APT model to evaluate expected returns and risk. The risk premiums on the factor 1 and factor 2 portfolios are 4.25% and 2.40%, respectively, while the risk-free rate of return remains at 1.00%. According to this APT analyst, your portfolio formed in question 2 has a beta on factor 1 of 3.95 and a beta on factor 2 of 3.25. According to APT, what is the expected return on your portfolio if no arbitrage opportunities exist? 6. Now assume that your forecasting model of question 4 accurately projects the expected return of Stocks A and B and therefore your portfolio, and that the APT model of question 5 describes the fair rate of return for your portfolio. Do any arbitrage opportunities exist? If yes, would you invest long or short in your portfolio constructed in question 2? FIN 5550-WB2: Jack De Jong: Quantitative Problem Set #3: Due: Monday, October 12, 2015 by 11:59 PM: Name: Version: (Please insert the names or symbols of your two companies as indicated.) Problem: Points Questions Index Models: (50 points) 1 (10) 2 (5) Your Answers: Please insert your two companies: SPDR iShares S&P 500 1-3 Year Index ETF Treas. Bd. Avg. Return Excess Ret. Company #1: Measure Measure 3 (4) (4) (2) 4 (5) 5 (4) (4) (2) 6 (5) Inference & Brief Explanation Inference & Brief Explanation Alpha Beta R-Squared Systematic Firm-specific Total Risk Company #2: Alpha Beta R-Squared Systematic Firm-specific Total Risk Please insert your two companies below: 7 (5) Covariance Correlation CAPM and APT: (50 points) 1 (5) Risk Aversion 2 (10) Exp. Return 3 (5) Correlation 4 (10) Alpha 5 (10) Exp. Return 6 (10) Arbitrage ***NOTES FROM PROFESSOR*** Dear Students, The iShares 1-3 Year Treasury Bond ETF (SHY)is a short term bond fund where the adjusted closing prices in Yahoo Finance represent monthly adjusted closing prices just like for your two stocks and the SPDR S&P 500 Index ETF. This risk free calculation is not like the ^IRX on the Tegrity video for Project 2 where ^IRX's values in Yahoo were annualized yields. To find the risk free rates with SHY you find the normal monthly returns with the adjusted closing prices like P1/P0 - 1 to find the risk free rate for period 1. The adjusted closing price for September 20 2015 is $84.95; do not divide this by 1200 to get a 7.08% risk free return. The correct RF rate for September 2015 is calculated by using the adjusted closing prices for August and September 2015 = 84.95/84.70 - 1 = .002952 = .2952%. Have fun studying QUESTION 1 Q1: Index Models: Version C: Download 61 months (September 2010 to September 2015) of monthly data for the SPDR S&P 500 Index ETF (symbol = SPY). Download 61 months (September 2010 to September 2015) of Microsoft Corporation data (symbol = MSFT) and 61 months (September 2010 to September 2015) of Wells Fargo & Company data (symbol = WFC). Download 61 months (September 2010 to September 2015) of iShares 1-3 Year Treasury Bond ETF data (symbol = SHY). Be sure to use end-of-month data! Construct the following on a spreadsheet: 1. Calculate 60 months of returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. (Please compute simple monthly returns not continuously compounded returns.) Use October 2010 to September 2015. Note this means you need price data for September 2010. On the answer sheet report the average monthly returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. 2. Calculate excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. Use the monthly returns on the iShares 1-3 Year Treasury Bond ETF as your monthly risk-free return. On the answer sheet report the average monthly excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. 3. Regress excess Microsoft returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 4. Use equation 8.10 to decompose total risk for Microsoft into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Microsoft. 5. Regress excess Wells Fargo returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 6. Use equation 8.10 to decompose total risk for Wells Fargo into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Wells Fargo. 7. Use equation 8.10 to estimate the covariance and correlation of Microsoft and Wells Fargo excess returns. QUESTION 2 Q2: CAPM and APT: 1. The expected rate of return on the market portfolio is 9.50% and the risk-free rate of return is 1.00%. The standard deviation of the market portfolio is 17.75%. What is the representative investor's average degree of risk aversion? Ans. U = E('r)- 0.005*A*sig^2 where , U= Utility Value i.e Risk Free Return E('r)= Expected Return A= Risk Aversion sig= Standard Deviation 1.00= 9.50-(.005xRisk Aversionx17.75^2) Risk Aversion= (9.50-1.00)/1.5753 Risk Aversion= 5.39576 2. Stock A has a beta of 1.90 and a standard deviation of return of 36%. Stock B has a beta of 3.95 and a standard deviation of return of 68%. Assume that you form a portfolio that is 60% invested in Stock A and 40% invested in Stock B. Using the information in question 1, according to CAPM, what is the expected rate of return on your portfolio? Ans. according to CAPM, cost of equity= RF+beta(Rm-RF) cost of equity of stock A= 1.00+1.90(9.5-1.00)=17.15% cost of equity of stock B= 1.00+3.95(9.5-1.00)=34.575% Therefore, cost of equity of portfolio consisting of 60% of stock A and 40% of Stock B = (.6x17.15)+(.4x34.575)= 24.12% 3. Using the information in questions 1 and 2, what is your best estimate of the correlation between stocks A and B? Ans. Beta A Standard Deviation (A) Standard Deviation (Market) Covariance (A,Market) Covariance (A,Market) 1.90 0.36 0.1775 Beta X Standard Deviation (Market) 0.33725 Beta B Standard Deviation (B) Standard Deviation (Market) Covariance (B,Market) Covariance (B,Market) 3.95 0.68 0.1775 Beta X Standard Deviation (Market) 0.701125 Covariance (A,B) Covariance (A,B) Covar (A,Market) * Covar (B, Market) 0.23645441 Correlation (A,B)= Covariance (A,B) SD(A)*SD(B) Correlation (A,B)= 0.9659 4. Your forecasting model projects an expected return of 17.50% for Stock A and an expected return of 33.75% for Stock B. Using the information in questions 1 and 2 and your forecasted expected returns, what is your best estimate of the alpha of your portfolio when using CAPM to determine a fair level of expected return? Ans. Alpha = Forecasted Return - Fair Return (CAPM) Alpha (A) Alpha (B) 17.15 - 17.50 = -0.35 34.575 - 33.75 = 0.825 Alpha (Portfolio) = (-0.35*0.6) + (0.825*0.4) = 0.12 5. A different analyst uses a two-factor APT model to evaluate expected returns and risk. The risk premiums on the factor 1 and factor 2 portfolios are 4.25% and 2.40%, respectively, while the risk-free rate of return remains at 1.00%. According to this APT analyst, your portfolio formed in question 2 has a beta on factor 1 of 3.95 and a beta on factor 2 of 3.25. According to APT, what is the expected return on your portfolio if no arbitrage opportunities exist? Ans. R1 = 1 + 4.25*3.95 = 17.7875 R2 = 1 + 2.4*3.25 = 8.8 Rp = (17.7875 + 8.8)/2 = 13.29375 6. Now assume that your forecasting model of question 4 accurately projects the expected return of Stocks A and B and therefore your portfolio, and that the APT model of question 5 describes the fair rate of return for your portfolio. Do any arbitrage opportunities exist? If yes, would you invest long or short in your portfolio constructed in question 2? Ans. since return by the two methods are not the same so we but the stocky by APT method and sale by forcast.So arbitrage opportunity is present FIN 5550-WB2: Jack De Jong: Quantitative Problem Set #3: Due: Monday, October 12, 2015 by 11:59 PM: Name: Version: (Please insert the names or symbols of your two companies as indicated.) Problem: Points Questions Index Models: (50 points) 1 (10) 2 (5) Your Answers: Please insert your two companies: SPDR iShares S&P 500 1-3 Year Index ETF Treas. Bd. Avg. Return Excess Ret. Company #1: Measure Measure 3 (4) (4) (2) 4 (5) 5 (4) (4) (2) 6 (5) Inference & Brief Explanation Inference & Brief Explanation Alpha Beta R-Squared Systematic Firm-specific Total Risk Company #2: Alpha Beta R-Squared Systematic Firm-specific Total Risk Please insert your two companies below: 7 (5) Covariance Correlation CAPM and APT: (50 points) 1 (5) Risk Aversion 5.395760 2 (10) Exp. Return 24.12% 3 (5) Correlation 0.965900 4 (10) Alpha 0.12% 5 (10) Exp. Return 13.29% since return by the two methods are not the same so we but the stocky by APT method an 6 (10) Arbitrage y by APT method and sale by forcast.So arbitrage opportunity is present ***NOTES FROM PROFESSOR*** Dear Students, The iShares 1-3 Year Treasury Bond ETF (SHY)is a short term bond fund where the adjusted closing prices in Yahoo Finance represent monthly adjusted closing prices just like for your two stocks and the SPDR S&P 500 Index ETF. This risk free calculation is not like the ^IRX on the Tegrity video for Project 2 where ^IRX's values in Yahoo were annualized yields. To find the risk free rates with SHY you find the normal monthly returns with the adjusted closing prices like P1/P0 - 1 to find the risk free rate for period 1. The adjusted closing price for September 20 2015 is $84.95; do not divide this by 1200 to get a 7.08% risk free return. The correct RF rate for September 2015 is calculated by using the adjusted closing prices for August and September 2015 = 84.95/84.70 - 1 = .002952 = .2952%. Have fun studying QUESTION 1 Q1: Index Models: Version C: Download 61 months (September 2010 to September 2015) of monthly data for the SPDR S&P 500 Index ETF (symbol = SPY). Download 61 months (September 2010 to September 2015) of Microsoft Corporation data (symbol = MSFT) and 61 months (September 2010 to September 2015) of Wells Fargo & Company data (symbol = WFC). Download 61 months (September 2010 to September 2015) of iShares 1-3 Year Treasury Bond ETF data (symbol = SHY). Be sure to use end-of-month data! Construct the following on a spreadsheet: 1. Calculate 60 months of returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. (Please compute simple monthly returns not continuously compounded returns.) Use October 2010 to September 2015. Note this means you need price data for September 2010. On the answer sheet report the average monthly returns for the SPDR S&P 500 Index ETF, Microsoft, Wells Fargo, and the iShares 1-3 Year Treasury Bond ETF. 2. Calculate excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. Use the monthly returns on the iShares 1-3 Year Treasury Bond ETF as your monthly risk-free return. On the answer sheet report the average monthly excess returns for the SPDR S&P 500 Index ETF, Microsoft and Wells Fargo. 3. Regress excess Microsoft returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 4. Use equation 8.10 to decompose total risk for Microsoft into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Microsoft. 5. Regress excess Wells Fargo returns on the excess SPDR S&P 500 Index ETF returns and report, on the answer sheet, , , the r-square and whether and are different from zero at the 10% level of significance. Briefly explain your inference. 6. Use equation 8.10 to decompose total risk for Wells Fargo into systematic risk and firm-specific risk. That is, calculate total risk, systematic risk and firm-specific risk for Wells Fargo. 7. Use equation 8.10 to estimate the covariance and correlation of Microsoft and Wells Fargo excess returns. QUESTION 2 Q2: CAPM and APT: 1. The expected rate of return on the market portfolio is 9.50% and the risk-free rate of return is 1.00%. The standard deviation of the market portfolio is 17.75%. What is the representative investor's average degree of risk aversion? Ans. U = E('r)- 0.005*A*sig^2 where , U= Utility Value i.e Risk Free Return E('r)= Expected Return A= Risk Aversion sig= Standard Deviation 1.00= 9.50-(.005xRisk Aversionx17.75^2) Risk Aversion= (9.50-1.00)/1.5753 Risk Aversion= 5.39576 2. Stock A has a beta of 1.90 and a standard deviation of return of 36%. Stock B has a beta of 3.95 and a standard deviation of return of 68%. Assume that you form a portfolio that is 60% invested in Stock A and 40% invested in Stock B. Using the information in question 1, according to CAPM, what is the expected rate of return on your portfolio? Ans. according to CAPM, cost of equity= RF+beta(Rm-RF) cost of equity of stock A= 1.00+1.90(9.5-1.00)=17.15% cost of equity of stock B= 1.00+3.95(9.5-1.00)=34.575% Therefore, cost of equity of portfolio consisting of 60% of stock A and 40% of Stock B = (.6x17.15)+(.4x34.575)= 24.12% 3. Using the information in questions 1 and 2, what is your best estimate of the correlation between stocks A and B? Ans. Beta A Standard Deviation (A) Standard Deviation (Market) Covariance (A,Market) Covariance (A,Market) 1.90 0.36 0.1775 Beta X Standard Deviation (Market) 0.33725 Beta B Standard Deviation (B) Standard Deviation (Market) Covariance (B,Market) Covariance (B,Market) 3.95 0.68 0.1775 Beta X Standard Deviation (Market) 0.701125 Covariance (A,B) Covariance (A,B) Covar (A,Market) * Covar (B, Market) 0.23645441 Correlation (A,B)= Covariance (A,B) SD(A)*SD(B) Correlation (A,B)= 0.9659 4. Your forecasting model projects an expected return of 17.50% for Stock A and an expected return of 33.75% for Stock B. Using the information in questions 1 and 2 and your forecasted expected returns, what is your best estimate of the alpha of your portfolio when using CAPM to determine a fair level of expected return? Ans. Alpha = Forecasted Return - Fair Return (CAPM) Alpha (A) Alpha (B) 17.15 - 17.50 = -0.35 34.575 - 33.75 = 0.825 Alpha (Portfolio) = (-0.35*0.6) + (0.825*0.4) = 0.12 5. A different analyst uses a two-factor APT model to evaluate expected returns and risk. The risk premiums on the factor 1 and factor 2 portfolios are 4.25% and 2.40%, respectively, while the risk-free rate of return remains at 1.00%. According to this APT analyst, your portfolio formed in question 2 has a beta on factor 1 of 3.95 and a beta on factor 2 of 3.25. According to APT, what is the expected return on your portfolio if no arbitrage opportunities exist? Ans. R1 = 1 + 4.25*3.95 = 17.7875 R2 = 1 + 2.4*3.25 = 8.8 Rp = (17.7875 + 8.8)/2 = 13.29375 6. Now assume that your forecasting model of question 4 accurately projects the expected return of Stocks A and B and therefore your portfolio, and that the APT model of question 5 describes the fair rate of return for your portfolio. Do any arbitrage opportunities exist? If yes, would you invest long or short in your portfolio constructed in question 2? Ans. since return by the two methods are not the same so we but the stocky by APT method and sale by forcast.So arbitrage opportunity is present FIN 5550-WB2: Jack De Jong: Quantitative Problem Set #3: Due: Monday, October 12, 2015 by 11:59 PM: Name: Version: (Please insert the names or symbols of your two companies as indicated.) Problem: Points Questions Index Models: (50 points) 1 (10) 2 (5) Your Answers: Please insert your two companies: SPDR iShares S&P 500 1-3 Year Index ETF Treas. Bd. Avg. Return Excess Ret. Company #1: Measure Measure 3 (4) (4) (2) 4 (5) 5 (4) (4) (2) 6 (5) Inference & Brief Explanation Inference & Brief Explanation Alpha Beta R-Squared Systematic Firm-specific Total Risk Company #2: Alpha Beta R-Squared Systematic Firm-specific Total Risk Please insert your two companies below: 7 (5) Covariance Correlation CAPM and APT: (50 points) 1 (5) Risk Aversion 5.395760 2 (10) Exp. Return 24.12% 3 (5) Correlation 0.965900 4 (10) Alpha 0.12% 5 (10) Exp. Return 13.29% since return by the two methods are not the same so we but the stocky by APT method an 6 (10) Arbitrage y by APT method and sale by forcast.So arbitrage opportunity is present