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Consider the following Table of information: Table: Annual return forecasts Index components Weight Expected return Variance Correlation Stock 75% 6.81% 0.0289 0.3 Bonds 25% 1.40%

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Consider the following Table of information: Table: Annual return forecasts Index components Weight Expected return Variance Correlation Stock 75% 6.81% 0.0289 0.3 Bonds 25% 1.40% 0.0064 The average coefficient of risk-aversion of market is 3. The variance of the equilibrium model expected returns is 10% of the sample variance. Manager's view: The manager believes that in the next month, bonds will outperform stocks by 0.5% with estimation standard error 1.73%. a) What are the advantages of the Black-Litterman model over the Markowitz model? b) In this model, how do you express the confidence of the manager in his/her view? How do you represent the managers view with error representation mathematically? c) What is the posterior expectations after incorporating the manager's view? Consider the following Table of information: Table: Annual return forecasts Index components Weight Expected return Variance Correlation Stock 75% 6.81% 0.0289 0.3 Bonds 25% 1.40% 0.0064 The average coefficient of risk-aversion of market is 3. The variance of the equilibrium model expected returns is 10% of the sample variance. Manager's view: The manager believes that in the next month, bonds will outperform stocks by 0.5% with estimation standard error 1.73%. a) What are the advantages of the Black-Litterman model over the Markowitz model? b) In this model, how do you express the confidence of the manager in his/her view? How do you represent the managers view with error representation mathematically? c) What is the posterior expectations after incorporating the manager's view

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