Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 56, Problem 14A
Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute.
a. If∠1 = 63°, find
(1) HK
(2)HM
b. If∠1 = 59.47°, find
(1) DC
(1) HK
(2)HM
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4. Assume that a risk-free money market account is added to the market described in Q3.
The continuously compounded rate of return on the money market account is log (1.1).
(i) For each given μ, use Lagrange multipliers to determine the proportions (as a
function of μ) of wealth invested in the three assets available for the minimum
variance portfolio with expected return μ.
(ii) Determine the market portfolio in this market and calculate its Sharp ratio.
3. A market consists of two risky assets with rates of return R₁ and R2 and no risk-free
asset. From market data the following have been estimated: ER₁ = 0.25, ER2 = 0.05,
Var R₁ = 0.01, Var R2 = 0.04 and the correlation between R1 and R2 is p = -0.75.
(i) Given that an investor is targeting a total expected return of μ = 0.2. What
portfolio weights should they choose to meet this goal with minimum portfolio
variance? Correct all your calculations up to 4 decimal points.
(ii) Determine the global minimum-variance portfolio and the expected return and
variance of return of this portfolio (4 d.p.).
(iii) Sketch the minimum-variance frontier in the μ-σ² plane and indicate the efficient
frontier.
(iv) Without further calculation, explain how the minimum variance of the investor's
portfolio return will change if the two risky assets were independent.
Chapter 56 Solutions
Mathematics For Machine Technology
Ch. 56 - A pipe has an inside circumference of 82.50 mm and...Ch. 56 - Determine the length of AB, AC, and ED. Round the...Ch. 56 - Prob. 3ACh. 56 - What is the complement of a 7221'47" angle?Ch. 56 - Prob. 5ACh. 56 - Prob. 6ACh. 56 - Determine the unknown value for each of the...Ch. 56 - Determine the unknown value for each of the...Ch. 56 - Determine the unknown value for each of the...Ch. 56 - Determine the unknown value for each of the...
Ch. 56 - Determine the unknown value for each of the...Ch. 56 - Determine the unknown value for each of the...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Prob. 23ACh. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Prob. 29ACh. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...Ch. 56 - Solve the following exercises based on Principles...
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