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If the economy does well, the investor's wealth is 2 and if the economy does poorly the investor's wealth is 1. Both outcomes are equally likely. The investor is offered to invest in shares of a project that gains 3=2 if the economy does well and loses 1 if the economy does poorly. Therefore, if the investor obtains α shares of this project his wealth is 2 + 3α/2
with probability 1/2 and 1= α with probability 1/2. The investor is an expected utility maximizer with utility index u(z) = ln z. What is the optimal α for this investor? ( α must be between 0 and 1).
Define sampling unit and population for selecting a random sample in every case. a) 100 voters from a constituency b) 20 stocks of National Stock Exchange c) 50 account ho
Uses Arithmetic mean is widely used because of the following reasons: Mean is the simplest average to understand and easy to compute. It
Suppose both the Repair record 1978 and Company headquarters are believed to be significant in explaining the vector (Price, Mileage, Weight). Here, because of the limited sample s
Construct index numbers of price for the following data by applying: i) Laspeyre’s method ii) Paasche’s method iii) Fisher’s Ideal Index number
f(x,y)=c(6-x-y) ,o find P(X+Y
In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This
Meaning of Interpolation and Extrapolation Interpolation is a method of estimating the most probable missing figure on the basis of given data under certain assumptions. On t
prove that coefficient of correlation lies between -1 and+1
Identify the (time, censor) pair for each of the following analyses:
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