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Let St, Bt be as in the Black-Scholes model with St non-dividend paying. An option P allows the holder to sell the stock for K at any time after St has been above L up to an expiry time T. Describe an efficient numerical algorithm that could be used to price this option. What if the option were a call?
Suppose f: [0, 1] → R is upper semicontinuous: This means that for every x ∈ [0, 1] and every ε > 0, there exists δ > 0 such that |y -x|
Problem 1: Use the integration by part to evaluate the following: 1. ? esx sin xdx, where s is some complex number
According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least eight were in a museum?
Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gas station. Susan's problem is to decide how large her station should be.
Further, assume that there are on hand as many standard rolls as necessary, and that only the widths on order are cut. Set up the problem as a linear program with integer variables that minimizes the trim losses.
Solve the following differential equations where the input is f(t) = 5t and the initial conditions are zero. Plot the response of the following models for 0 ≤ t ≤ 1.5. Obtain the Laplace transform of the following function
Which points in the digital line form open sets? Which form closed sets? For the points which are not closed, find the smallest closed set containing that point
Estimate for the Trapezoidal rule to give a bound for the error in problem A for the Trapezoidal rule.
A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?
For the three vectors in Part 11, find the corresponding values of λ1, λ2, and λ3, compute the determinant of and Create a 3 x 3 matrix X where x1 is 1st column, x2 is 2nd column & x3 is 3rd column.
Can someone teach me how to formulate the Optimal solution for this problem without using Excel?
Modeling - Math 056 - Homework 2. Show that pn+2 - ασγpn+1 - βσ2γ(1 - α)pn = 0. Is it important when we define the start of a generation? Find the condition for survival of the adult plant population. Biologically interpret this condition
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