Sentence examples for wealth processes from inspiring English sources

Clearly, the wealth processes of a self-financing trading strategy is characterized in terms of two Eqs. 10 and (11).

We shall make precise the adapted and predictable processes in the filtration (mathbb {G}) that we define in order to describe investment strategy and wealth processes.

By the condition (3.4), the wealth process is positive.

We notice that condition 3.4 ensures the positivity of the wealth process.

Note that here the discounted wealth process is given by Eq. (28).

In general, we have the following definition of the wealth process.

We derive the wealth dynamics in "Wealth process" section and formulate the optimal control problem in "The optimal control problem" section.

Under uncertainty and i.p. for non-dominated priors (Pin mathcal {P}_{[underline {a},overline {a}]}), we want the wealth process for a trading strategy to be defined (q.e).

In the next result, we suppose that the dynamics of the wealth process given by (65) and (67) are such that Assumption 4 is satisfied.

To deal with the issue of no-arbitrage, we need to introduce the discounted wealth process and properly define the concept of admissibility of trading strategies.

The evolution of the controlled wealth process is then given by begin{array}rcl@{dX}_{t} &=& r(I_{t}) X_{t} dt,+, alpha_{t}!