Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 17.I, Problem 4RE
To determine
To calculate: The total cost, total depreciation and annual depreciation of the asset when the asset purchased cost is
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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 17 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 17.I - Wild Flour Bakery purchased a new bread oven for...Ch. 17.I - Prob. 2TIECh. 17.I - Prob. 3TIECh. 17.I - Prestige Limousine Sen ice purchased a limousine...Ch. 17.I - Prob. 1RECh. 17.I - Prob. 2RECh. 17.I - Prob. 3RECh. 17.I - Prob. 4RECh. 17.I - Prob. 5RECh. 17.I - Prob. 6RE
Ch. 17.I - Prob. 7RECh. 17.I - Prob. 8RECh. 17.I - The Huffy Laundromat purchased new washing...Ch. 17.I - Prob. 10RECh. 17.I - Prob. 11RECh. 17.I - Prob. 12RECh. 17.I - Prob. 13RECh. 17.I - Prob. 14RECh. 17.I - Prob. 15RECh. 17.I - Prob. 16RECh. 17.I - Prob. 17RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 19RECh. 17.I - Prob. 20RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 22RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 24RECh. 17.I - Prob. 25RECh. 17.I - Prob. 26RECh. 17.I - Prob. 27RECh. 17.I - Prob. 28RECh. 17.I - Prob. 29RECh. 17.I - Prob. 30RECh. 17.I - Prob. 31RECh. 17.I - You are the accountant for Raleigh Industries, a...Ch. 17.I - BUSINESS DECISION: REPLACING AN ASSET Supreme Auto...Ch. 17.II - Prob. 5TIECh. 17.II - Prob. 6TIECh. 17.II - 1. Ink Masters Printing purchased a new printing...Ch. 17.II - Prob. 2RECh. 17.II - Prob. 3RECh. 17.II - Prob. 4RECh. 17.II - Prob. 5RECh. 17.II - All-That-Glitters Mining Company paid $49.250.000...Ch. 17.II - 7. Sequoia Timber Company purchased land...Ch. 17.II - Prob. 8RECh. 17 - Prob. 1CRCh. 17 - Prob. 2CRCh. 17 - 3. The useful _____ is the length of time an asset...Ch. 17 - Prob. 4CRCh. 17 - 5. Depreciation methods that assume an asset...Ch. 17 - Prob. 6CRCh. 17 - Prob. 7CRCh. 17 - 8. A method of accelerated depreciation that uses...Ch. 17 - Prob. 9CRCh. 17 - Prob. 10CRCh. 17 - Prob. 11CRCh. 17 - Prob. 12CRCh. 17 - Prob. 13CRCh. 17 - When natural resources are depleted, the average...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Oxford Manufacturing. Inc., purchased new...Ch. 17 - Prob. 4ATCh. 17 - Prob. 5ATCh. 17 - Prob. 6ATCh. 17 - Prob. 7ATCh. 17 - Prob. 8ATCh. 17 - Prob. 9ATCh. 17 - Prob. 10ATCh. 17 - Prob. 11ATCh. 17 - Screen Gems Movie Theater purchased a new...Ch. 17 - Stone Age Concrete, Inc. MACRS Depreciation...Ch. 17 - Prob. 14ATCh. 17 - In January 2002. Marine Science Corporation was...
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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_forward(^) k Recall that for numbers 0 ≤ k ≤ n the binomial coefficient (^) is defined as n! k! (n−k)! Question 1. (1) Prove the following identity: (22) + (1121) = (n+1). (2) Use the identity above to prove the binomial theorem by induction. That is, prove that for any a, b = R, n (a + b)" = Σ (^) an- n-kyk. k=0 n Recall that Σ0 x is short hand notation for the expression x0+x1+ +xn- (3) Fix x = R, x > 0. Prove Bernoulli's inequality: (1+x)" ≥1+nx, by using the binomial theorem. - Question 2. Prove that ||x| - |y|| ≤ |x − y| for any real numbers x, y. Question 3. Assume (In) nEN is a sequence which is unbounded above. That is, the set {xn|nЄN} is unbounded above. Prove that there are natural numbers N] k for all k Є N. be natural numbers (nk Є N). Prove thatarrow_forward
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