Explain Black–Scholes model
Explain Black–Scholes model.
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The Black-Scholes model is depends on geometric Brownian motion for asset price S as
dS = µSdt + σSdX.
The Black-Scholes partial differential equation for value V of an alternative is then
∂V/∂t + ½ σ2S2 (∂2V/∂S2) + rS (∂V/∂S) - rV = 0
Factorisation by Fermat's method: This method, dating from 1643, depends on a simple and standard algebraic identity. Fermat's observation is that if we wish to nd two factors of n, it is enough if we can express n as the difference of two squares.
let a, b, c, d be integers. Prove the following statements: (a) if a|b and b|c. (b) if a|b and ac|bd. (c) if d|a and d|b then d|(xa+yb) for any x, y EZ
It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work
Who firstly discovered mathematical theory for random walks, that rediscovered later by Einstein?
In a project, employee and boss are working altogether. The employee can be sincere or insincere, and the Boss can either reward or penalize. The employee gets no benefit for being sincere but gets utility for being insincere (30), for getting rewarded (10) and for be
Area Functions 1. (a) Draw the line y = 2t + 1 and use geometry to find the area under this line, above the t - axis, and between the vertical lines t = 1 and t = 3. (b) If x > 1, let A(x) be the area of the region that lies under the line y = 2t + 1 between t
Explain trading of call options.
this assignment contains two parts theoretical and coding the code has to be a new. old code and modified code will appear in the university website .
The basic Fermat algorithm is as follows: Assume that n is an odd positive integer. Set c = [√n] (`ceiling of √n '). Then we consider in turn the numbers c2 - n; (c+1)2 - n; (c+2)2 - n..... until a perfect square is found. If th
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