EBK ESSENTIAL STATISTICS FOR THE BEHAVI
EBK ESSENTIAL STATISTICS FOR THE BEHAVI
2nd Edition
ISBN: 9781506386287
Author: PRIVITERA
Publisher: VST
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Chapter 8, Problem 20CAP

(a)

To determine

A research article reports that the average American, in the population, consumes around 2,700 calories a day while researching lifestyle changes to improve heart health. Another article disputes this assertion by saying that on average, the average American consumes significantly less than this norm, t(50)=2.993,p<.05η2=0.15 .

A significant effect can be seen in the test statistic?

(b)

To determine

A research article reports that the average American, in the population, consumes around 2,700 calories a day while researching lifestyle changes to improve heart health. Another article disputes this assertion by saying that on average, the average American consumes significantly less than this norm, t(50)=2.993,p<.05η2=0.15 .

To what extent does this effect contribute to variance?

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This problem is based on the fundamental option pricing formula for the continuous-time model developed in class, namely the value at time 0 of an option with maturity T and payoff F is given by: We consider the two options below: Fo= -rT = e Eq[F]. 1 A. An option with which you must buy a share of stock at expiration T = 1 for strike price K = So. B. An option with which you must buy a share of stock at expiration T = 1 for strike price K given by T K = T St dt. (Note that both options can have negative payoffs.) We use the continuous-time Black- Scholes model to price these options. Assume that the interest rate on the money market is r. (a) Using the fundamental option pricing formula, find the price of option A. (Hint: use the martingale properties developed in the lectures for the stock price process in order to calculate the expectations.) (b) Using the fundamental option pricing formula, find the price of option B. (c) Assuming the interest rate is very small (r ~0), use Taylor…
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