To explain:
The solution of the following equations by the elimination method:
Answer to Problem 2E
The solution of
Explanation of Solution
Given information:
Calculation:
The two equations are given as:
To make the coefficient of
Take addition of equation (2) and (3) to eliminate variable
Now calculate the value of variable
Hence, by solving two equations by elimination method get variable values as
Chapter 5 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- 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!)arrow_forward1 (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). - • If ESq(rt) = A, find ES₁(Pt – Pt–T).arrow_forward2 (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? • What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given rt-2 = 0.6?arrow_forward
- 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_forwardNumerical anarrow_forward
- 7 Through the method of inverting the coefficient matrix, solve x+2x=8 2x - y = -5 x+y+z = 4.arrow_forward4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).arrow_forward亚 ח Variables Name avgdr employ educ exerany Label AVG ALCOHOLIC DRINKS PER DAY IN PAST 30 EMPLOYMENT STATUS EDUCATION LEVEL EXERCISE IN PAST 30 DAYSarrow_forward
- Numerical anaarrow_forwardVariables Name wage hours IQ KWW educ exper tenure age married black south urban sibs brthord meduc feduc Label monthly earnings average weekly hours IQ score knowledge of world work score years of education years of work experience years with current employer age in years =1 if married =1 if black =1 if live in south =1 if live in SMSA number of siblings birth order mother's education father's educationarrow_forwardInformation for questions 4 • • Please Download "wages" from Canvas (the link to this dataset is right below the HWA1 questions - it is a Microsoft excel worksheet) and store it in your favorite folder. It contains 797 observations and 16 variables. The "state" variable gives the names of the states involved in this dataset. • You need to have excel on your computer to open this dataset. i. You should use File > Import > Excel Spreadsheet etc. as done in class 3 convert this file into a Stata dataset. Once you are done, write the final STATA code that makes the transformation of an excel file to a STATA file possible. ii. Write a code that will close the log file that has been open since Question 1 part ii.arrow_forward
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