APPLIED CALCULUS (WILEY PLUS)
APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 7.2, Problem 8P
To determine

Whether the given graph is probability density function or cumulative distribution function, find value of c and sketch the other function.

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1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
Problem. Suppose that the lifetime (x) of certain model with a mean life of 5 years" a. What is the probability distribution of the life of the car battery ? b. Plot the probability density function, f(x) versus the lifetime of the car battery (x) C. What is the probability that the life of the battery will be greater than 2 years? d. What is the probability that the life of the battery is greater than 2 years but less than 4 years? What is the var(x)? car battery follows an exponential distribution e.
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APPLIED CALCULUS (WILEY PLUS)

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