Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 3, Problem 96H
The following table of data obtained from wwbaseball-almanac.com shows hit Information for four players. Suppose that one hit from the table Is randomly selected.
Table 3.18
Are “the hit being made by Hank Aaron and “the hit being a double* Independent
a. Yes, because P(hlt by Hank Aaron|hit isa double) P(hit by Hank Aaron)
b. No, because P(hit by Hank Aaronhit Is a double) : P(hit Is a double)
c. No, because P(hit Is by Hank Aaron hit Is a double) : P(hit by Hank Aaron)
d. Yes, because P(hit Is by Hank Aaronhit Is a double) = P(hit Is a double)
| Name | Single Double | Triple | Home Run | Total Hits | |
| Babe Ruth | 1.517 | 506 | 136 | 714 | 2.873 |
| Jackie Robinson | 1.054 | 273 | 54 | 137 | 1.518 |
| TyCobb | 3.603 | 174 | 295 | 114 | 4.189 |
| Hank Aaron | 2.294 | 624 | 98 | 755 | 3.771 |
| Total | 8.471 | 1,577 | 583 | 1.720 | 12.351 |
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Problem1
We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.
Problem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%.
We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…
What is the standard scores associated to the left of z is 0.1446
Chapter 3 Solutions
Introductory Statistics
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