Explain lognormal stochastic differential equation
Explain lognormal stochastic differential equation for evolution of an asset.
Expert
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.
What is an Ordinary Differential Equation (ODE)?
A college student invested part of a $25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is $1,670 how much did he invest at 6%? If I told you the answer is $8,000, in your own words, using complete sentences, explain how you
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
what is uniform scaling in computer graphic
Who derived the Black–Scholes Equation?
An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times distributed as EXPO(6.8) and service times as TRIA(808, 13.7, 15.2); all times are in minutes. Individuals who want to renew or apply for a new d
Prime number theorem: A big deal is known about the distribution of prime numbers and of the prime factors of a typical number. Most of the mathematics, although, is deep: while the results are often not too hard to state, the proofs are often diffic
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
I. Boolean Algebra Define an abstract Boolean Algebra, B, as follows: The three operations are: + ( x + y addition) ( x y multiplic
Who firstly discovered mathematical theory for random walks, that rediscovered later by Einstein?
18,76,764
1951645 Asked
3,689
Active Tutors
1459841
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!