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Copy file name to clipboardExpand all lines: Docs/UserGuide/tradedata/swaption.tex
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component sub-node. These trade components are outlined in section \ref{ss:option_data} and section
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\ref{ss:leg_data}.\\
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\vspace{5mm}
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Supported swaption exercise styles are \emph{European} and \emph{Bermudan}. Swaptions of both exercise styles can have an arbitrary number of legs, with
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Supported swaption exercise styles are \emph{European}, \emph{Bermudan}, \emph{American}. Swaptions of all exercise styles can have an arbitrary number of legs, with
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each leg represented by a \lstinline!LegData! sub-node. Cross currency swaptions are not supported for either exercise style, i.e. the Currency element must
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have the same value for all \lstinline!LegData! sub-nodes of a swaption. There must be at least one full coupon period after the exercise date for European
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Swaptions, and after the last exercise date for Bermudan Swaptions. See Table \ref{tab:swaption_requirements} for further details on requirements for
It should be noted that equity volatilities are taken to be a curve by default. To simulate an equity volatility surface with smile the xml node {\tt <Surface> } must be supplied.
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There are two methods in ORE for equity volatility simulation:
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\begin{itemize}
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\item Simulating ATM volatilities only (and shifting other strikes relative to this using the $T_{0}$ smile). In this case set {\tt <SimulateATMOnly>} to true.
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\item Simulating the full volatility surface. The node {\tt <SimulateATMOnly>} should be omitted or set to false, and explicit moneyness levels for simulation should be provided.
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\item Simulating ATM volatilities only (and shifting other strikes relative to this using the $T_{0}$ smile). In this
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case set {\tt <SimulateATMOnly>} to true and no surface node is given.
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\item Simulating the full volatility surface. The node {\tt <SimulateATMOnly>} should be omitted or set to false, and
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explicit moneyness levels for simulation should be provided.
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\end{itemize}
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Swaption volatilities are taken to be a surface by default. To simulate a swaption volatility cube with smile the xml node {\tt <Cube> } must be supplied.
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There are two methods in ORE for swaption volatility cube simulation:
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\begin{itemize}
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\item Simulating ATM volatilities only (and shifting other strikes relative to this using the $T_{0}$ smile). In this case set {\tt <SimulateATMOnly>} to true.
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\item Simulating the full volatility cube. The node {\tt <SimulateATMOnly>} should be omitted or set to false, and explicit strike spreads for simulation should be provided.
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\item Simulating the full volatility cube. The node {\tt <SimulateATMOnly>} should be omitted or set to false, and
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explicit strike spreads for simulation should be provided.
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\end{itemize}
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FX volatilities are taken to be a curve by default. To simulate an FX volatility cube with smile the xml node {\tt <Surface> } must be supplied. The surface node contains the moneyness levels to be simulated.
Consider the upper case of \eqref{eq:CSA}: If the initial value of the netting set is zero ($\NPV(t_0)=0$) and
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if $\Th_{rec}=0$, but the combined $\IA>0$, then the Credit Support Amount equals the Independent Amount, $\CSA(t_0)=\IA$.
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If moreover the initial collateral balance is zero (because the Independent Amount has not been received yet),
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then $\Delta(t_0)=\CSA(t_0)=\IA$, and the delivery amount $D(t_0)$ also matches the $\IA$ (assuming this exceeds the MTA),
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so that the next call leads to the transfer of the Independent Amount to us. For a positive $\Th_{rec}>0$, the transfer to us is reduced accordingly.
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In that case we can view the Independent Amount as an offset to the threshold.
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Consider the lower case of \eqref{eq:CSA}: If the netting set value is negative from our perspective and in absolute terms larger than the $\IA$,
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then the Credit Support Amount is just the negative difference $\CSA=-|\NPV| + \IA + \Th_{pay}$ so that we need to post collateral, but only the amount
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beyond the combined threshold $\IA + \Th_{pay}$.
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\subsubsection{Margin Period of Risk} \label{sec:mpor}
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After a counterparty defaults, it takes time to close out the portfolio. During this time period the portfolio value will change upon market conditions, therefore the portfolio's close-out value is subject to market risk, which is referred also as the close-out risk and the corresponding close-out period is called as the {\em Margin Period of Risk} (MPoR).
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