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\subsection{Agent parameters}
\begin{enumerate}
\item $T_{0}$ is the maximum deal duration --- i.e., the horizon after which the benefits of the deal are not considered.
- \item $\tau$ is the charachteristic time of discount --- e.g., $\exp({\frac{1\,year}{\tau}}) - 1$ is the minimal yearly rate for a loan.
+ \item $\tau$ is the charachteristic time of discount --- $\exp({\frac{1\,year}{\tau}}) - 1$ is the minimal yearly rate for a loan.
+ \item $r$ is the risk parameter for currency switching --- the agent will only agree to swap no less than $(1+r)x$ in one currency for $x$ in another.
\end{enumerate}
Given these parameters, the value function $V((x_{i}), (t_{i}))$ (or $V(S)$) can be determined. It takes the sequence of values $(x_{i}, t_{i})$, where $x_{i}$ are the incoming/outcoming tokens from the agent.