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
In differentiated-goods duopoly business, with inverse demand curves: P1 = 10 – 5Q1 – 2Q2P2 = 10 – 5Q2 – 2Q1 and per unit costs for each and every firm equal to 1.<
A public key for RSA is published as n = 17947 and a = 3. (i) Use Fermat’s method to factor n. (ii) Check that this defines a valid system and find the private key X. Q : Elementary Logic Set & Model of a Prove that Elementary Logic Set is a Model of a Boolean Algebra The three Boolean operations of Logic are the three logical operations of OR ( V ), AN
Prove that Elementary Logic Set is a Model of a Boolean Algebra The three Boolean operations of Logic are the three logical operations of OR ( V ), AN
Terms: Terms are defined inductively by the following clauses. (i) Every individual variable and every individual constant is a term. (Such a term is called atom
Assume three Offices (A, B, & C) in downtown, simultaneously decide whether to situate in a new Building. The payoff matrix is illustrated below. What is (are) the pure stratgy Nash equilibrium (or equilibria) and mixed-strtegy equilibrium of the game?
Let G be a group. (i) G satis es the right and left cancellation laws; that is, if a; b; x ≡ G, then ax = bx and xa = xb each imply that a = b. (ii) If g ≡ G, then (g-1)
Select a dataset of your interest (preferably related to your company/job), containing one variable and atleast 100 data points. [Example: Annual profit figures of 100 companies for the last financial year]. Once you select the data, you should compute 4-5 summary sta
Explain a rigorous theory for Brownian motion developed by Wiener Norbert.
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 di fference 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
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