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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.
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.
Calculate the value the test statistic
Find whether the given expression is a function or not - Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.
Draw a scalene triangle and label the vertices ,A,B and C. Place the compass at point B and draw an arc that intersect line segment AC in two points. Label the points of intersection D and E.
Provide basic information about the BMI difference
sketch the parallelogram spanned by and in the xy plane and compute its area.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
Angular speed and linear speed - A bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second.
For the following algorithm find the number of times the assignment statement (:=) is executed during the running of the program. Answer the question by giving a formula in terms of n:
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