Recidivism (Example 16) Florida's recidivism rate is 33 % . This means that about 33 % of released prisoners end up back in prison (within three years). Suppose two randomly selected prisoners who have been released are studied. a. What is the probability that both of them go back to prison? What assumptions must you make to calculate this? b. What is the probability that neither of them goes back to prison? c. What is the probability that at least one goes back to prison?
Recidivism (Example 16) Florida's recidivism rate is 33 % . This means that about 33 % of released prisoners end up back in prison (within three years). Suppose two randomly selected prisoners who have been released are studied. a. What is the probability that both of them go back to prison? What assumptions must you make to calculate this? b. What is the probability that neither of them goes back to prison? c. What is the probability that at least one goes back to prison?
Solution Summary: The author calculates the probability that both of the two randomly selected released prisoners will go back to prison within three years.
Recidivism (Example 16) Florida's recidivism rate is
33
%
. This means that about
33
%
of released prisoners end up back in prison (within three years). Suppose two randomly selected prisoners who have been released are studied.
a. What is the probability that both of them go back to prison? What assumptions must you make to calculate this?
b. What is the probability that neither of them goes back to prison?
c. What is the probability that at least one goes back to prison?
Please solving problem2
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
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
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