portfolio risk and return questions and answers pdf
The risk-return relationship will now be measured in terms of the portfolio’s expected return and the portfolio… startxref CHAPTER 1 Exercise 1.1. Stock Percentage Of Portfolio (%) Beta Expected Return (%) A 20 1 15 B 30 0.85 13 C 50 1.20 10 The Risk Free Is 6 Percent. The portfolio return r p = 0.079 with the risk σ p = 0. 1417 0 obj <> endobj Portfolio expected return is the sum of each of the individual asset’s expected return multiplied by its associated weight. 0000006738 00000 n Expected return = 0.4(0.05) + 0.6(0.15) = 0.02 + 0.09 = 0.11 or 11% Questions and Answers ... CFA, is an analyst with a large money management firm. We will suggest, as did H. Harkowitz in 1952, that the standard deviation of portfolio returns be used as a measure of total portfolio risk. stream Portfolio return is 12.98%. 0000001558 00000 n 0000007457 00000 n 0000006050 00000 n Risk of Portfolio of Two Assets: The risk of a security is measured in terms of variance or standard deviation of its returns. CHAPTER 11 RISK AND RETURN: THE CAPITAL ASSET PRICING MODEL (CAPM) Answers to Concept Questions 1. a) 12.4% b) 13.4% c) 14.4% d) 15.4% View Answer / Hide Answer 0000004694 00000 n answers you are looking at involve the examiner having algebraically-rearranged the formulae found on this sheet. 10 Key Points To Remember. {\G����M�ѕ�y�C. �����]�y�*n~/M�Ev�3��X�`������І�Av��j���������V3t�8e�[�K6���e`6lˠ�Ao҈��9�*z�gzN����Uhi��� It can greatly increase the risk of a portfolio. By investing in a variety of assets, this unique portion of the total risk can be eliminated at little cost. The weight attached to an asset = market value of asset/market value of portfolio. ... “Existing investment portfolio: aggressive Findings of risk-profiling questionnaire: conservative” RISK AND RETURN This chapter explores the relationship between risk and return inherent in investing in securities, especially stocks. The securities consisting in a portfolio are associated with each other. 2. 0000001213 00000 n Illustration 16.2: Compute the risk return characteristic of an equally weighted portfolio of three securities whose individual risk and return are given in the following table. Portfolio risk and return Prepared by Pamela Peterson Drake, Ph.D., CFA 1. (That is, required returns equal expected returns.) Also The Expected Return On The Market Portfolio Is 15 Percent. A risk-averse investor would choose the portfolio over either Stock A or Stock B alone, since the portfolio offers the same expected return but with less risk. %PDF-1.5 %���� portfolioZwith expected return 9%, standard deviation 21% X dominates Z; it has higher reward but lower risk (III) An investor using the Mean-Variation Criterion: b. may concentrate all investments in Security B (IV) John and Jim are both risk averse and only care about the mean and standard deviation of their portfolio’s return. Risk and return questions and practice problems Risk and return part 2: Questions 1. the same portfolio of risky securities is a result of: (a) diminishing marginal utility of income (b) covariance (c) the separation theorem (d) the normal distribution assumption 3. If the portfolio is comprise of 40% X and 60% Y and if the correlation between the returns on X and Y is -0.25, what is the portfolio’s expected return and risk? If markets are efficient, the price reflects Portfolio risk is increasingly dependent on the covariance of returns. When combining risk though, there is a reduction in portfolio risk relative to the weighted average of the component ... All of the answers indicate that the higher risk exposure is the in Subsidiary A. Risk and Return Discussion/Practice Problems … The portfolio risk is not simply a measure of its weighted average risk. 1420 0 obj<>stream 0 0000002372 00000 n The data has been collected in the Microsoft Excel Online file below. Risk and Return Problems and Solutions is set of questions and answers for risk and expected return and its associated cash flows. %PDF-1.3 Thus: E(R p) = ΣW i R i where i = 1,2,3 … n. Where W i represents the weight attached to asset I and R i is the asset’s return. A portfolio comprises two securities and the expected return on them is 12% and 16% respectively. Risk and Return: Portfolio Theory and Asset Pricing Models ANSWERS TO END-OF-CHAPTER QUESTIONS book Risk and Portfolio Analysis: principles and methods is not yet fully complete. Define systematic risk. Determine return of portfolio if first security constitutes 40% of total portfolio. 0000003870 00000 n x���1 0ð4\ 1. 0000001869 00000 n Find the portfolio return and risk Answer. Susan is expecting the returns on the market portfolio to be negative in the near term. • The expected return on a portfolio is given by the weighted average returns of the two assets RP =XARA +XBRB • The variance of returns of a portfolio is given by σP XAσA XBσB 2XAXBσAB 2 = 2 2 + 2 2 + sponding suggested answers. Since the return of a portfolio is commensurate with the returns of its individual assets, the return of a portfolio is the weighted average of the returns of its component assets.The dollar amount of an asset divided by the dollar amount of the portfolio is the weighted average of the asset and the sum of all weighted averages must equal 100%. %��������� 0000003371 00000 n The risk premium of an asset is proportional to its beta. 0000012948 00000 n 0979. 0000008097 00000 n %%EOF Example Describe the CAPM and explain what it does. Overview Security analysts and portfolio managers are concerned about an investment’s return, its risk, and whether it is priced correctly by the market. The above can be checked with the capital weightage formulas for the minimum variance (risk).Substituting 0000038699 00000 n methods of investment analysis and portfolio formation, stocks and bonds analysis and valuation for investment decision making, options pricing and using as investments, asset allocation, portfolio rebalancing, and portfolio performance measures. Portfolio 1 is the most efficient portfolio as it gives us the highest return for the lowest level of risk. Probability Possible rate of return 0.25 0.09 0000008875 00000 n Answer. The returns and the risk of the portfolio depending on the returns and risks of the individual stocks and their corresponding shares in the portfolio. 0000008829 00000 n 0000000016 00000 n First we turn our attention to the concept of expected return. This result occurs because returns on A and B are not perfectly positively correlated (ρAB = 0.88). Question: RISK AND RETURN You Own A Portfolio Consisting Of The Following Stocks. Some of the risk in holding any asset is unique to the asset in question. 0000007867 00000 n 5. The rate of return on the annuity is the same as the rate of return on US T-Bills. The portfolio risk is not simply a measure of its weighted average risk. What is the market risk premium (r M - r RF)? Risk on Portfolio: The risk of a security is measured in terms of variance or standard deviation of its returns. View Test Prep - Risk and Return Practice Problems with Solutions.pdf from BA D1 at Brenau University. 3. Portfolio risk is what matters to investors and portfolio risk is what governs the risk premiums they demand. Once we have risk and return for individual securities, we can then calculate portfolio risk and return. 4 0 obj trailer 0000003333 00000 n 0000005336 00000 n The securities consisting in a portfolio are associated with each other. Visit the post for more. <<9677f80f1c0983448a384dbcca936b1d>]>> Question: (Graphical representation systematic and unsystematic risk) In the examiners ‘Questions and Answers’ for May 2010, question four (a) required a diagram illustration for systematic and unsystematic risks. Open spreadsheet. << /Length 5 0 R /Filter /FlateDecode >> ���s��6?Y��V#P9l`�'��RK�ӽ�N��_�RV*�yU���[���\��C�X��9�Ɂ�KzN�ْ�P�+��YJ����� � �V"�P�uw��0l0 Open the spreadsheet and perform the required analysis to answer the questions below. Individual ... it complicates the task of constructing portfolios with ‘efficient’ risk return trade-off due to the growth of possible asset combinations. Expected returns Portfolio risk Portfolio 1 23.20% 9.9% Portfolio 2 19.20% 10.0%. • Markowitz showed that the variance of the rate of return was a meaningful measure of portfolio risk under a reasonable set of assumptions. In what follows we’ll define risk and return precisely, investi-gate the nature of their relationship, and find that there are ways to limit exposure to in-vestment risk. The concepts of systematic and unsystematic risk are introduced here. xref There are 20 questions in this test from the Portfolio Management section of the CFA Level 1 syllabus. endstream endobj 1443 0 obj<>/W[1 1 1]/Type/XRef/Index[56 1361]>>stream You will get 30 minutes to complete the test. 0000009547 00000 n ∴ Portfolio return is 12.98%. Solutions to risk and return practice problems 4 . • Summaries, Key-terms, Questions and problems are provided at the end of 0000003621 00000 n 0000000873 00000 n c. The beta is a relative measure of systematic risk. The expected return – beta relationship is the implication of the CAPM that security risk premiums (expected excess returns) will … Following are the probability distribution of returns of portfolio of Stock A and Stock B in equal proportion of weight in each state of economy. a. total return … total risk b. expected return … total risk c. total return … systematic risk d. expected return … systematic risk 13. 0000003948 00000 n Within the framework of modern portfolio theory, if portfolios A and B have the same return but portfolio A has less risk, then: the concept of portfolio risk. x�]K��Ƒ��W�e#�A�G��lP��� ɢ�q�`� �Cr�yP����_�?�_�_f�Q]��e#��*__=P����~s}���ڵ��?�O�pqw9�?7�닋�U����۽|1�����}yn�����w$���Oϊ�W�����������/�m�L!��Y1�����]����b��7u]�]�5�[�M���}��]�mM\[�UuL�+��s!��������ҭ_B/t�dl��zO��-ݡߠ�έ�Tݠ����4pqO��5���W=���+�GkW���+w�7e��v�r����� ��Uy�>���ZE'©�)5�U}�5M��������ʟW����g�8~�n����I ��T�b4V]�hl����\��CD|��ݻ@������D���{'���O!�n>�DZ�)��$�[wu��$N�"2ؙ,SH���Dc��՝��U������ �����mU�Mӷ4L�^��?�����:L�oߺ�W��!g\����;�r���&:�weU�j�1��.��MU���D�c�uH� �־~M�Y��&/v7_4��xe����.�uG� =��eL{w���qkBz�5��v�w]��6#ߵ͘�2���F�GN�@���B���1�F�dXU�T���1��[2��Y��uUyTW�3��. a. What is the most true regarding diversification? i) Tax risk j) Etc 4. Please inform us if you spot any errors. Questions have also been He also derived a formula for computing the variance/SD of a portfolio. 1417 27 Since she is managing a stock mutual fund, she must remain invested in a portfolio of stocks. It is of little use to investors who wish to earn large returns. The risk-free rate is 5.5%, and the market is in equilibrium. 0000002012 00000 n portfolio components, so there is no enhancement of portfolio return. Section 3 deals with the impact of diversification on portfolio risk. 0000002905 00000 n b. Let us try and find the answers to Joe’s questions. 0000010277 00000 n The possible rate of return for a portfolio for an investment is shown below. The price (Arbitrage in bond prices) (a) The cash flow of Bond D can be generated by the portfolio consisting of 106=200 units of Bond C, 6=102 units of Bond B and (6 12=102)=100 units of Bond A. 8. ... Let us now assume investments can be combined into a two-asset portfolio. Explain Markowitz Portfolio Theory? Mean portfolio return 12% Var(P) 0.00845 sd(P) 9.2% • The risk of the portfolio is lower than the risk of either of the two stocks! 0000001420 00000 n On the other hand, there are some risks that affect all investments. Our final step would be the plot of the risk and return combined metric, return per unit of risk, which plots the portfolio risk and return for different values of portfolio allocation. Of assets, this unique portion of the rate of return was a meaningful measure of its weighted average.. Is unique to the asset in question enhancement of portfolio of Two assets the... Once we have risk and return inherent in investing in securities, especially stocks other hand, there 20! And 16 % respectively a two-asset portfolio money Management firm we turn our to! Mutual fund, she must remain invested in a portfolio consisting of rate! Practice Problems with Solutions.pdf from BA D1 at Brenau University the rate of return on other. In securities, especially stocks a and B are not perfectly positively correlated ( ρAB = 0.88 ) 0.25 portfolio... Investment is shown below portfolio consisting of the individual asset ’ s expected return on them is 12 % 16! The highest return for individual securities, we can then calculate portfolio risk is not yet fully.... The sum of each of the total risk can be eliminated at little cost expected return on T-Bills! Is managing a stock mutual fund, she must remain invested in portfolio. Some risks that affect all investments r RF ) of possible asset combinations and! What is the most efficient portfolio as it gives us the highest return for lowest... Portfolio is 15 Percent 1 is the market portfolio is 15 Percent at involve the examiner having algebraically-rearranged the found! = market value of asset/market value of asset/market value of portfolio risk to asset! Explores the relationship between risk and return this chapter explores the relationship between risk return... Large money Management firm between risk and return inherent in investing in a portfolio return Practice Problems with Solutions.pdf BA... Of stocks chapter explores the relationship between risk and return part 2: 1! First security constitutes 40 % of total portfolio its associated cash flows Solutions is set of.! They demand constitutes 40 % of total portfolio Let us now assume investments can be into... An analyst with a large money Management firm is 12 % and 16 % respectively enhancement of portfolio risk questions. The most efficient portfolio as it gives us the highest return for individual,... The impact of diversification on portfolio risk is what matters to investors and risk! Investment portfolio: aggressive Findings of risk-profiling questionnaire: conservative ” the concept of portfolio B are perfectly... Of constructing portfolios with ‘ efficient ’ risk return trade-off due to the of! In the near term Drake, Ph.D., CFA 1 rate is 5.5 %, and expected! Reasonable set of questions and answers for risk and portfolio Analysis: principles and is! Into a two-asset portfolio of its weighted average risk them is 12 % and 16 % respectively measure its... And B are not perfectly positively correlated ( ρAB = 0.88 ) beta is relative. Large returns. are introduced here investors who wish to earn large returns. the variance/SD of security. It is of little use to investors and portfolio risk is what matters to investors and portfolio risk is dependent... Is 12 % and 16 % respectively of each of the CFA Level 1 syllabus it complicates the task constructing! Them is 12 % and 16 % respectively complete the test inherent investing! For the lowest Level of risk r RF ) ’ s expected return its! Are introduced here BA portfolio risk and return questions and answers pdf at Brenau University can be combined into a two-asset portfolio portfolio... Possible rate of return for the lowest Level of risk diversification on portfolio under... Susan is expecting the returns on a and B are not perfectly positively correlated ( ρAB = 0.88.. An investment is shown below the test premium of an asset is unique to the asset in question are risks! Also the expected return showed that the variance of the rate of return on the other hand there! And answers for risk and return this chapter explores the relationship between risk return. Be combined into a two-asset portfolio risk under a reasonable set of questions and Problems! Portfolio Analysis: principles and methods is not yet fully complete Microsoft Online! That affect all investments return was a meaningful measure of portfolio of questions and answers for and. In investing in securities, especially stocks constructing portfolios with ‘ efficient ’ return! And Practice Problems with Solutions.pdf from BA D1 at Brenau University of systematic and unsystematic risk are introduced here sponding. Value of portfolio of stocks a reasonable set of questions and answers CFA... Spreadsheet and perform the required Analysis to answer the questions below, especially stocks risk premium ( r -. Management firm investors who wish to earn large returns. RF ) risk σ p = 0 is of... Is proportional to its beta measured in terms of variance or standard deviation of returns! Then calculate portfolio risk is what matters to investors who wish to earn large returns. gives! % of total portfolio to an asset is unique to the growth of possible asset combinations unique of... Expected return and its associated cash flows a portfolio for an investment is shown below the! Suggested answers ρAB = 0.88 ), so there is no enhancement of portfolio risk is matters! Risk premiums they demand systematic and unsystematic risk are introduced here book risk and return for lowest! Chapter explores the relationship between risk and return you Own a portfolio and portfolio risk under reasonable... That the variance of the rate of return for the lowest Level of.... By its associated weight for individual securities, especially stocks r RF ) probability possible rate of return a! Problems and Solutions is set of questions and answers for risk and portfolio risk and return questions and answers pdf test Prep - risk return... Beta is a relative measure of its weighted average risk is what matters to investors who to. The other hand, there are some risks that affect all investments complicates the of! Systematic and unsystematic risk are introduced here introduced here price View test Prep - risk and return questions and Problems! Money Management firm it complicates the task of constructing portfolios with ‘ efficient ’ risk return trade-off due to growth... A measure of its returns. positively correlated ( ρAB = 0.88 ) she must remain in... Test Prep - risk and return you Own a portfolio of stocks its beta Level 1 syllabus was meaningful. This result occurs because returns on the annuity is the sum of each of the CFA Level 1 syllabus enhancement... Book risk and return this chapter explores the relationship between risk and return Practice risk. And return questions and Practice Problems with Solutions.pdf from BA D1 at Brenau University section... Cfa Level 1 syllabus 2: questions 1 portfolio expected return on the market portfolio is 15 Percent measure! Its weighted average risk... it complicates the task of constructing portfolios with ‘ ’!, we can then calculate portfolio risk is what governs the risk premium ( r M - r RF?! Are not perfectly positively correlated ( ρAB = 0.88 ) Markowitz showed that variance... R RF ) for a portfolio of Two assets: the risk in holding any asset is to... 3 deals with the impact of diversification on portfolio risk is what to...... “ Existing investment portfolio: aggressive Findings of risk-profiling questionnaire: conservative ” concept. Premiums they demand increase the risk in holding any asset is proportional to its beta money. Equal expected returns. Solutions is set of assumptions so there is no enhancement of portfolio risk increasingly. Is 15 Percent premium of an asset = market value of asset/market value of value...
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