PDE methods for maximum drawdown
نویسندگان
چکیده
منابع مشابه
PDE Methods for the Maximum Drawdown
Maximum drawdown is a risk measure that plays an important role in portfolio management. In this paper, we address the question of computing the expected value of the maximum drawdown using a partial differential equation (PDE) approach. First, we derive a two-dimensional convection-diffusion pricing equation for the maximum drawdown in the Black-Scholes framework. Due to the properties of the ...
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The drawdown of an asset is a risk measure defined in terms of the running maximum of the asset’s spot price over some period [0, T ]. The asset price is said to have drawn down by at least $K over this period if there exists a time at which the underlying is at least $K below its maximum-to-date. We introduce insurance against a large realization of maximum drawdown and a novel way to hedge th...
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Abstract In this paper, we introduce new techniques how to control the maximum drawdown (MDD). One can view the maximum drawdown as a contingent claim, and price and hedge it accordingly as a derivative contract. Trading drawdown contracts or replicating them by hedging would directly address the concerns of portfolio managers who would like to insure the market drops. Similar contracts can be ...
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In this article, we study the concept of maximum drawdown and its relevance to the prevention of portfolio losses. Maximum drawdown is defined as the largest market drop during a given time interval. We show that maximum drawdown can serve as an additional tool for portfolio managers on top of already existing contracts, such as put or lookback options.
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where X ( t ) represents the equity curve of the trading system or fund. The maximum drawdown MDD is the most widespread risk measure among money managers and hedge funds. It is often preferred over some of the other risk measures because of the tight relationship between large drawdowns and fund redemptions. Also, a large drawdown can even indicate the start of a deterioration of an otherwise ...
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ژورنال
عنوان ژورنال: The Journal of Computational Finance
سال: 2008
ISSN: 1460-1559
DOI: 10.21314/jcf.2008.177