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Arithmetic Brownian Motion Problem

Solutions for this problem:

Ito Approach

soluttionnn

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problem station 27/03

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Arithmetic Brownian Motion Problem

Requirements

Is $Z (t)^{3}$ a martingale process?

Givens

Let Z(t) be Standard Arithmetic Brownian Motion w/o Drift.

Ito Approach

Solution Steps

Step 1:

\(Y = W^{3}\)

Step 2:

Apply stochastic chain rule. Limit ourselves to drift part only.

Step 3:

Non zero result means it is not a martingale.

soluttionnn

Solution Steps

Step 1:

streps

Answer

answerss

problem station 27/03

Requirements

problem station 27/03

Givens

problem station 27/03

Soultion station 27/03

Solution Steps

Step 1:

Soultion station 27/03

Answer

Soultion station 27/03

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