Bonds Exercise Problems

School of Business University of Puerto Rico Río Piedras PORTFOLIO capsule NOTES AND PRACTICE EXERCISES Expected Return of a Portfolio The pass perspicacity fall back of a portfolio is the weighted total of the calculate returns of its component securities, that is, n E(Rp) = ? Xi E(Ri) i=1 = X1 E(R1) + X2 E(R2) + + Xn E(Rn) where, E(Rp) = expect return of the portfolio E(Ri) = evaluate return of security i Xi = proportion of portfolios look on invested in security i n = weigh of securities in the portfolio n ? Xi = X1 + X2 + + Xn = 1 i=1 What is the contribution of security i to the expected return of the portfolio? Xi E(Ri) Please note that all the statements to a higher place are true regardless of any(prenominal) presence or absence of dependence among the security returns. Portfolio analytic thinking Notes and Practice Exercises page 2 form and Standard digression of a Portfolio In general, the fluctuation (or the standard deviation) of the returns of a portfolio is not a weighted average of the divergencys (or the standard deviations) of the returns of the portfolios component securities. Instead, the calculations restrain as follows: ?2(Rp) = X12 ?2(R1) + X22 ?2(R2) + + Xn2 ?2(Rn) + 2X1X2Cov (R1,R2) + + 2X1XnCov (R1,Rn) + 2X2X3Cov (R2,R3) + + 2X2XnCov (R2,Rn) + + 2Xn-1XnCov (Rn-1,Rn) n ?2(Rp) = ? Xi2 ?2(Ri) + i=1 n Variance Terms n-1 n 2? ? XiXjCov (Ri,Rj) i = 1 j = i+1 n(n-1) Covariance Terms (Note that the outset musing to the right-hand(a) of the equal sign contains n variance scathe, whereas the second expression contains n(n-1) covariance terms. Therefore, as the human activity of securities in a portfolio increases, the number of terms in the second expression becomes lots greater than the number of terms in the first expression. As a result, we fire say that the larger the portfolio, as mensurable by the number of securities it contains, the more that its risk (variance) is determined by the kind of comovement that on that point ! exists between the returns of the securities in...If you want to get a full essay, ensnare it on our website: OrderEssay.net

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