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Optimal Risky Portfolios. Chapter 7. p (%). 35. Unique Risk (unsystematic risk). 20 0. Total Risk. Market Risk (systematic risk). 10 20 30 40 1,000 +. Number Stocks in Portfolio. Portfolios of two risky assets. Portfolios of two risky assets. =0.19 =19%.
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Optimal Risky Portfolios Chapter 7 Bodi Kane Marcus Ch 5
p(%) 35 Unique Risk (unsystematic risk) 20 0 Total Risk Market Risk (systematic risk) 10 20 30 40 1,000+ Number Stocks in Portfolio
Portfolios of two risky assets =0.19 =19%
Bodi Kane Marcus Ch 5 Covariance • A measure of the degree to which returns on two risky assets move in tandem. A positive covariance means that asset returns move together. A negative covariance means returns move inversely.
Bodi Kane Marcus Ch 5 Correlation Coefficient A measure that determines the degree to which two variable's movements are associated.The correlation coefficient is calculated as:
Bodi Kane Marcus Ch 5 Portfolios of two risky assets • If DE = 1
Bodi Kane Marcus Ch 5 Portfolio Expected Return as a function of investment proportion Expected Return, 13% Equity Fund 8% Debt Fund
Bodi Kane Marcus Ch 5 Problem 5 Expected Return, 20% Equity Fund 12% Debt Fund
Bodi Kane Marcus Ch 5 Portfolio Expected Return as a function of standard deviation =-1 E =.30 Expected Return, rp =0 =1 D Risk, p
Bodi Kane Marcus Ch 5 The Optimal Risky Portfolio with Two Risky Assets and a Risk-Free Asset A = the risk aversion parameter
Bodi Kane Marcus Ch 5 The reward-to-volatility (Sharpe) ratio
CAL(P) The Determination of Complete Portfolio Expected Return, rp I2 I1 . Opportunity Set of Risky Assets M . ^ rM P ^ rR Optimal Risky Portfolio rRF Optimal Complete Portfolio Risk, p R M
Bodi Kane Marcus Ch 5 The optimal Complete Portfolio
The Efficient frontier Expected Return, rp Individual Asset Global Minimum- Variance Portfolio Minimum-Variance Frontier Risk, p
The Opportunity Set of The Debt and Equity funds with the optimal CAL and the optimal risky portfolio Expected Return, (%) The Capital Allocation Line (CAL): E P Opportunity set of risky asset rRF D Risk, (%)
Bodi Kane Marcus Ch 5 The efficient portfolio set E( r ) Efficient Frontier Risky Assets E( r 3) E( r 2) E( r 1)
Bodi Kane Marcus Ch 5 Tugas Kelompok