Statistical Techniques in Business and Economics
16th Edition
ISBN: 9780077639723
Author: Lind
Publisher: Mcgraw-Hill Course Content Delivery
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Chapter 4, Problem 40CE
To determine
Explain the conclusion about the relationship between the variables.
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2 (VaR and ES) Suppose X1
are independent. Prove that
~
Unif[-0.5, 0.5] and X2
VaRa (X1X2) < VaRa(X1) + VaRa (X2).
~
Unif[-0.5, 0.5]
8 (Correlation and Diversification)
Assume we have two stocks, A and B, show that a particular combination
of the two stocks produce a risk-free portfolio when the correlation between
the return of A and B is -1.
9 (Portfolio allocation)
Suppose R₁ and R2 are returns of 2 assets and with expected return and
variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find
−∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest
risk.
Chapter 4 Solutions
Statistical Techniques in Business and Economics
Ch. 4 - Prob. 1.1SRCh. 4 - Prob. 1.2SRCh. 4 - Describe the differences between a histogram and a...Ch. 4 - Prob. 2ECh. 4 - Consider the following chart. a. What is this...Ch. 4 - Prob. 4ECh. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - The following stem-and-leaf chart from the Minitab...Ch. 4 - Prob. 8E
Ch. 4 - Prob. 9ECh. 4 - Prob. 10ECh. 4 - Prob. 2SRCh. 4 - Prob. 11ECh. 4 - Prob. 12ECh. 4 - Prob. 13ECh. 4 - Kevin Horn is the national sales manager for...Ch. 4 - The following box plot shows the assets in...Ch. 4 - Prob. 15ECh. 4 - The box plot shows the undergraduate in-state...Ch. 4 - Prob. 17ECh. 4 - A sample of 28 time shares in the Orlando,...Ch. 4 - Prob. 4SRCh. 4 - Prob. 19ECh. 4 - Prob. 20ECh. 4 - Prob. 21ECh. 4 - Prob. 22ECh. 4 - Prob. 5SRCh. 4 - Prob. 23ECh. 4 - Prob. 24ECh. 4 - Prob. 25ECh. 4 - Ski Resorts of Vermont Inc. is considering a...Ch. 4 - Prob. 27CECh. 4 - Prob. 28CECh. 4 - Prob. 29CECh. 4 - Prob. 30CECh. 4 - Prob. 31CECh. 4 - Prob. 32CECh. 4 - Prob. 33CECh. 4 - Prob. 34CECh. 4 - Prob. 35CECh. 4 - Prob. 36CECh. 4 - Prob. 37CECh. 4 - Prob. 38CECh. 4 - Prob. 39CECh. 4 - Prob. 40CECh. 4 - Prob. 41CECh. 4 - Prob. 42CECh. 4 - Prob. 43CECh. 4 - Prob. 44DECh. 4 - Prob. 45DECh. 4 - Prob. 46DECh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - A. Century National Bank The following case will...Ch. 4 - A. Century National Bank The following case will...Ch. 4 - Prob. 3CCh. 4 - The science of collecting, organizing, presenting,...Ch. 4 - Methods of organizing, summarizing, and presenting...Ch. 4 - Prob. 1.3PTCh. 4 - List the two types of variables.Ch. 4 - Prob. 1.5PTCh. 4 - The jersey numbers of Major League Baseball...Ch. 4 - Prob. 1.7PTCh. 4 - Prob. 1.8PTCh. 4 - Prob. 1.9PTCh. 4 - Prob. 1.10PTCh. 4 - Prob. 1.11PTCh. 4 - Prob. 1.12PTCh. 4 - Prob. 1.13PTCh. 4 - Prob. 2.1PTCh. 4 - Prob. 2.2PTCh. 4 - Prob. 2.3PTCh. 4 - Prob. 2.4PTCh. 4 - Prob. 2.5PT
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- 7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forward
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