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Let X(t) be a Brownian motion. The stock price of an asset S(t) follows the lognormal random walk S(t)=40e^(.35X(t)+.01t) Calculate the expected value of S(t) after 4 months (1/3 years) and calculate the probability that a European call option with exercise price E=50 will be exercised at expiration time T=8 months.
Probabilities from proportion tables, The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year.
Calculating the local maximum and minimum.
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Supppose a baseball is thrown at 85 miles per hour.The ball will travel 320 ft when hit by a bat swung at 50 miles per hour and will travel 440 ft when hit by a bat swung at 80 miles per hour.
State at least two hypotheses you might use, specifically stating the null & alternate hypotheses & the type errors that might occur.
Ernesto is going to choose 2 flowers. First, he will choose a flower for his mother the second flower he chooses will be for his sister. The florist has two blue flowers, 1 red flower and 1 yellow flower.
Determine the stable and unstable manifolds for the rest point of the system.
Suppose the spot and three-month forward rates for the yen are ¥79.85 and ¥79.16, respectively. What would you estimate is the difference between the annual inflation rates of the United States and Japan? (Negative amount should be indicated by a ..
Test at the 5% level of significance.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
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