Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter A.6, Problem 3RP
9.
To determine
Convert 0.20 as a fraction
10.
To determine
Convert –0.35 as a fraction
11.
To determine
Convert 0.002 as a fraction
12.
To determine
Convert 0.0052 as a fraction
13.
To determine
Convert –0.8 as a fraction
14.
To determine
Convert 1.25 as a fraction
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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
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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
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Chapter A Solutions
Statistics for the Behavioral Sciences
Ch. A.1 - Prob. 1RPCh. A.1 - Prob. 2RPCh. A.2 - Prob. 1RPCh. A.3 - Prob. 1.1LCCh. A.3 - Prob. 1.2LCCh. A.3 - Prob. 1.3LCCh. A.3 - Prob. 1.4LCCh. A.4 - Prob. 1RPCh. A.4 - Prob. 2RPCh. A.5 - Prob. 2.1LC
Ch. A.5 - Prob. 2.2LCCh. A.5 - Prob. 2.3LCCh. A.5 - Prob. 2.4LCCh. A.6 - Prob. 3.1LCCh. A.6 - Prob. 3.2LCCh. A.6 - Prob. 3.3LCCh. A.6 - Prob. 1RPCh. A.6 - Prob. 2RPCh. A.6 - Prob. 3RPCh. A.6 - Prob. 4RPCh. A.6 - Prob. 5RPCh. A.8 - Prob. 4.1LCCh. A.8 - Prob. 4.2LCCh. A.8 - Prob. 4.3LCCh. A.8 - Prob. 4.4LCCh. A.8 - Prob. 1RPCh. A.9 - Prob. 5.1LCCh. A.9 - Prob. 5.2LCCh. A.9 - Prob. 5.3LCCh. A.10 - Prob. 6.1LCCh. A.10 - Prob. 6.2LCCh. A.10 - Prob. 1RPCh. A.10 - Prob. 2RPCh. A.11 - Prob. 7.1LCCh. A.11 - Prob. 7.2LCCh. A.11 - Prob. 7.3LC
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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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