EBK ESSENTIAL STATISTICS FOR THE BEHAVI
2nd Edition
ISBN: 9781506386287
Author: PRIVITERA
Publisher: VST
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Chapter 10, Problem 20CAP
(a)
To determine
To test: Whether the difference in responding time changed at
(b)
To determine
To calculate: The effect size using the estimated Cohen’s d.
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A random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)
1 (Expected Shortfall)
Suppose the price of an asset Pt follows a normal random walk, i.e., Pt =
Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²).
Po+r1+.
⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price
in T days, i.e., VaRq(Pt – Pt–T).
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• If ESq(rt) = A, find ES₁(Pt – Pt–T).
2 (Normal Distribution)
Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47).
What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3?
What is P(rt (4) < 2)?
What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13?
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rt-2 = 0.6?
Chapter 10 Solutions
EBK ESSENTIAL STATISTICS FOR THE BEHAVI
Ch. 10 - Prob. 1FPCh. 10 - Prob. 2FPCh. 10 - Prob. 3FPCh. 10 - Prob. 4FPCh. 10 - Prob. 5FPCh. 10 - Prob. 6FPCh. 10 - Prob. 7FPCh. 10 - Prob. 8FPCh. 10 - Prob. 9FPCh. 10 - Prob. 10FP
Ch. 10 - Prob. 11FPCh. 10 - Prob. 12FPCh. 10 - Prob. 13CAPCh. 10 - Prob. 14CAPCh. 10 - Prob. 15CAPCh. 10 - Prob. 16CAPCh. 10 - Prob. 17CAPCh. 10 - Prob. 18CAPCh. 10 - Prob. 19CAPCh. 10 - Prob. 20CAPCh. 10 - Prob. 21CAPCh. 10 - Prob. 22CAPCh. 10 - Prob. 23CAPCh. 10 - Prob. 24CAPCh. 10 - Prob. 25CAPCh. 10 - Prob. 26CAPCh. 10 - Prob. 27CAPCh. 10 - Prob. 28CAPCh. 10 - Prob. 29PRCh. 10 - Prob. 30PRCh. 10 - Prob. 31PRCh. 10 - Prob. 32PRCh. 10 - Prob. 33PRCh. 10 - Prob. 34PR
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- 3 (Sharpe-ratio) Suppose that X1, X2,..., is a lognormal geometric random walk with parameters (μ, o²). Specifically, suppose that X = Xo exp(rı + ...Tk), where Xo is a fixed constant and r1, T2, ... are IID N(μ, o²). Find the Sharpe-ratios of rk and log(Xk) — log(Xo) respectively, assuming the risk free return is 0.arrow_forwardi need help with question 2arrow_forward4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).arrow_forward
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