--%>

Explain lognormal stochastic differential equation

Explain lognormal stochastic differential equation for evolution of an asset.

E

Expert

Verified

One of the beginning points for typical derivatives theory is the lognormal stochastic differential equation for evolution of a certain asset. Itoˆ’s lemma defines the stochastic differential equation for value of an option on such asset. In mathematical terms, when we have a Wiener process X along with increments dX which are normally distributed along with mean zero and variance dt, in that case the increment of a function F(X) is specified by

dF = (dF/dX) dX + ½ (d2F/dX2) dt

It is a very loose dentition of Itˆ o’s lemma but it will suffice.

   Related Questions in Mathematics

  • Q : Abstract Boolean Algebra I. Boolean

    I. Boolean Algebra Define an abstract Boolean Algebra, B,  as follows:  The three operations are:  +   ( x + y addition) ( x y multiplic

  • Q : Numerical solution of PDE i want you to

    i want you to solve this assignment. this consist of two parts theoretical and coding. the code has to be created by you. no modified or copying code. you have to mention the exact solution and the proportion error. also you have to explain the sketch that you get from the code. these information

  • Q : What is the definition of a group Group

    Group: Let G be a set. When we say that o is a binary operation on G, we mean that o is a function from GxG into G. Informally, o takes pairs of elements of G as input and produces single elements of G as output. Examples are the operations + and x of

  • Q : What is limit x tends to 0 log(1+x)/x

    What is limit x tends to 0  log(1+x)/x to the base a?

  • Q : Properties of a group How can we say

    How can we say that the pair (G, o) is a group. Explain the properties which proof it.

  • Q : Mathematical Method for Engineers The

     The function is clearly undefined at , but despite all of this the function does have a limit as approaches 0. a) Use MATLAB and ezplot to sketch for , and use the zoom on facility to guess the . You need to include you M-file, outp

  • Q : Define Well-formed formulas or Wffs

    Wffs (Well-formed formulas): These are defined inductively by the following clauses:    (i) If  P  is an n-ary predicate and  t1, …, tn are terms, then P(t1, …, t

  • Q : Formal logic It's a problem set, they

    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

  • Q : Row-echelon matrix Determine into which

    Determine into which of the following 3 kinds (A), (B) and (C) the matrices (a) to (e) beneath can be categorized:       Type (A): The matrix is in both reduced row-echelon form and row-echelon form. Type (B): The matrix

  • Q : Formal Logic It's a problem set, they

    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