1. Part (a) and (b) of this question are independent.(a) Suppose a random variable \( U \) follows Uniform(0,1) distribution. Define \[ W = \log \left( \frac{U}{1-U} \right). \] Here log is log base \( e \). i. Find the range of \( W \). ii. Find the density of \( W \).(b) The joint distribution of two random variables \( X \) and \( Y \) is \[ f_{X,Y}(x,y) = 8xy \, 1_{(0

As per our guidelines I can solve only first one question. Kindly post the remaining question again…

Answered: 1. (a) W = log (1). Here log is log…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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E2
5
A1
The an alytic pricing formula for pricing a European Call is C (S, t) = SN (d1) – Ee"(T-t) N (d2) where In () + (r + žo²) (T – t) oVT -t di = d2 = d1 - ovT -t. and N (.) is the cumulative normal distribution. Compare and comment on the values obtained from the Binomial and Trinomial methods compared to the an alytical solution. Could the Binomial and Trinomial values been improved? If so how?
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1. (a) W = log (1). Here log is log base e. i. Find the range of W. ii. Find the density of W. The joint distribution of two random variable X and Y is (b) Part (a) and (b) of this question are independent. Suppose a random variable U follows Uniform(0,1) distribution. Define fxy(x, y) = 8 xy 1(0