Betty and Bob maintain a portfolio of three stocks, A, B, and C (short positions are...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Betty and Bob maintain a portfolio of three stocks, A, B, and C (short positions are allowed). Each year they adjust the proportions or weightings to reflect what they hope to accomplish for the portfolio. This year the reward (rate of return) and the risk (beta) are as per Weight Return Beta A X .20 1.5 B y .05 .5 C Z .35 2.0 Portfolio 1 .15 1.2 The portfolio return is a weighted average of the returns of A,B, and C. The portfolio Beta is a weighted average of the betas of A, B, and C. Clearly each portfolio characteristic is a linear combination of the characteristics of A, B, and C. a. Write the information in the table as a system of three linear equations in three unknowns. b. Solve the system by The Row Reduction Method. Be sure to algebraically show all of your work. c. Interpret your results. If they have $100,000 assigned for use in the portfolio then what amount of money would be allocated to each stock? Be sure to indicate whether the stock position is long or short. Betty and Bob maintain a portfolio of three stocks, A, B, and C (short positions are allowed). Each year they adjust the proportions or weightings to reflect what they hope to accomplish for the portfolio. This year the reward (rate of return) and the risk (beta) are as per Weight Return Beta A X .20 1.5 B y .05 .5 C Z .35 2.0 Portfolio 1 .15 1.2 The portfolio return is a weighted average of the returns of A,B, and C. The portfolio Beta is a weighted average of the betas of A, B, and C. Clearly each portfolio characteristic is a linear combination of the characteristics of A, B, and C. a. Write the information in the table as a system of three linear equations in three unknowns. b. Solve the system by The Row Reduction Method. Be sure to algebraically show all of your work. c. Interpret your results. If they have $100,000 assigned for use in the portfolio then what amount of money would be allocated to each stock? Be sure to indicate whether the stock position is long or short.
Expert Answer:
Answer rating: 100% (QA)
a The system of linear equations is X20 y05 z35 15 X15 y5 z2 12 X y z 1 b Using row red... View the full answer
Related Book For
Practical Management Science
ISBN: 978-1305250901
5th edition
Authors: Wayne L. Winston, Christian Albright
Posted Date:
Students also viewed these finance questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...
-
Why do you think it took so long for LuLu's desserts to launch its export business?
-
Goring Dairy leases its milking equipment from King Finance Company under the following lease terms. 1. The lease term is 10 years, non-cancelable, and requires equal rental payments of $30,300 due...
-
If the net accelerating force (FN) on an aircraft traveling down a runway is 5000 lb, what is the rolling friction (F) given the following information: Thrust = 7000 lb, Drag = 1560 lb a. 2000 lb b....
-
What is civil litigation and how does it differ from other types of litigation?
-
You bought one of Bergen Manufacturing Co.s 7 percent coupon bonds one year ago for $1,080.50. These bonds make annual payments and mature six years from now. Suppose you decide to sell your bonds...
-
2. Consider a closed economy to which the Keynesian-cross analysis applies. Consumption is given by the equation C = 200 + 2/3(YT). Planned investment, government spending and taxes all equal is 300....
-
Their 1.5 inch, 90-degree copper elbow (see below) is a very popular item in the plumbing line that comes packaged in 10 elbows per box. The box costs about $65 to Western, and Western sells it at...
-
Sameer, Hani, and Ali are partners in SHA Partnership. On 1/1/ 2021, they decide to liquidate their business. On 31/12/2020, and before closing the net income for 2020, you have the following...
-
What factors should you consider when choosing attire and accessories to wear when giving a speech?
-
According to the debt resolution rule, what is the time frame for repayment of short-term debt? What types of borrowing are not considered in the debt resolution rule?
-
What is the primary benefit of an asset management account?
-
What are the two fundamental principles and advantages of a tax-deferred retirement plan?
-
AEK Ltd has prepared its income statement, summarised below, for the year ended 30 June 2019. The company is evaluating three independent situations and has asked for your assistance. Required (a) If...
-
A well-insulated piston cylinder contains air initially of 0.01 m at 1.5 bar, 30C. The cylinder is connected to an air supply pipe via a valve. Air in the supply pipe is at constant 4 bar pressure...
-
Saccharin is an artificial sweetener that is used in diet beverages. In order for it to be metabolized by the body, it must pass into cells. Below are shown the two forms of saccharin. Saccharin has...
-
Allied Freight supplies goods to three customers, who each require 30 units. The company has two ware-houses. In warehouse 1, 40 units are available, and in warehouse 2, 30 units are available. The...
-
Each hour from 10 A.M. to 7 P.M., a bank receives checks and must process them. Its goal is to process all checks the same day they are received. The bank has 13 check processing machines, each of...
-
In the cash balance model from Example 11.5, the timing is such that some receipts are delayed by one or two months, and the payments for materials and labor must be made a month in advance. Change...
-
An important reason why repeated-measures designs are more powerful than between-subject designs is that we can factor out individual differences in the dependent variable. (T or F)
-
Why is there no explicit interaction term in the design that we have been examining?
-
Why are some designs called between-subjects designs?
Study smarter with the SolutionInn App