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Exponential Hedging and Entropic Penalties 总被引:13,自引:0,他引:13
Freddy Delbaen Peter Grandits Thorsten Rheinländer Dominick Samperi Martin Schweizer Christophe Stricker 《Mathematical Finance》2002,12(2):99-123
We solve the problem of hedging a contingent claim B by maximizing the expected exponential utility of terminal net wealth for a locally bounded semimartingale X . We prove a duality relation between this problem and a dual problem for local martingale measures Q for X where we either minimize relative entropy minus a correction term involving B or maximize the Q -price of B subject to an entropic penalty term. Our result is robust in the sense that it holds for several choices of the space of hedging strategies. Applications include a new characterization of the minimal martingale measure and risk-averse asymptotics. 相似文献
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In this article, it is shown that although minimum‐variance hedging unambiguously reduces the standard deviation of portfolio returns, it can increase both left skewness and kurtosis; consequently the effectiveness of hedging in terms of value at risk (VaR) and conditional value at risk (CVaR) is uncertain. The reduction in daily standard deviation is compared with the reduction in 1‐day 99% VaR and CVaR for 20 cross‐hedged currency portfolios with the use of historical simulation. On average, minimum‐variance hedging reduces both VaR and CVaR by about 80% of the reduction in standard deviation. Also investigated, as an alternative to minimum‐variance hedging, are minimum‐VaR and minimum‐CVaR hedging strategies that minimize the historical‐simulation VaR and CVaR of the hedge portfolio, respectively. The in‐sample results suggest that in terms of VaR and CVaR reduction, minimum‐VaR and minimum‐CVaR hedging can potentially yield small but consistent improvements over minimum‐variance hedging. The out‐of‐sample results are more mixed, although there is a small improvement for minimum‐VaR hedging for the majority of the currencies considered. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:369–390, 2006 相似文献
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信用违约互换(Credit Default Swaps,CDS)作为当今国际上最流行的的信用衍生工具,被广泛应用于商业银行的信用风险管理中。Credit Metrics模型被广泛运用于度量信用风险的大小,在应用Credit Metrics模型计算商业银行贷款的VaR基础上探讨CDS的定价问题。以单笔贷款为例来说明该模型探讨CDS定价实际运用过程,对我国商业银行信用风险管理的提高有一定指导作用。 相似文献
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This article presents a model of a risk-averse multinational firm facing risk exposure to a foreign currency cash flow. Forward markets do not exist between the firm's own currency and the foreign currency, but do exist for a third currency. Because a triangular parity condition holds among these three currencies, the available forward markets, albeit incomplete, provide a useful avenue for the firm to indirectly hedge against its foreign exchange rate risk exposure. This article offers analytical insights into the optimal cross-hedging strategies of the firm. In particular, the results show that separate unbiasedness of the forward markets does not necessarily imply a perfect full hedge that eliminates the entire foreign exchange rate risk exposure of the firm. The optimal cross-hedging strategies depend largely on the firm's marginal utility function and on the correlation of the random spot exchange rates. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19:859–875, 1999 相似文献
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We examined the general hedging problem faced by a global portfolio manager or a pure exporting multinational firm. Most hedging models assume that these economic agents hold only a single asset in the spot market and are exposed only to a single source of price–quantity uncertainty. Such models are less relevant to many financial and exporting firms that face multiple sources of risk. In this study, we developed a general hedging model that explicitly recognizes that these hedgers are faced with multiple price and quantity uncertainties. Our model takes advantage of the full correlation structure of changes in spot prices, quantities, and forward prices. We performed simulations of the hedging model for a firm with two pairs of price and quantity exposures to demonstrate potential gains in hedging efficiency and effectiveness. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:145–172, 2001 相似文献
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This article considers the pricing and hedging of barrier options in a market in which call options are liquidly traded and can be used as hedging instruments. This use of call options means that market preferences and beliefs about the future behavior of the underlying assets are in some sense incorporated into the hedge and do not need to be specified exogenously. Thus we are able to find prices for exotic derivatives which are independent of any model for the underlying asset. For example we do not need to assume that the underlying assets follow an exponential Brownian motion.
We find model-independent upper and lower bounds on the prices of knock-in and knock-out puts and calls. If the market prices the barrier options outside these limits then we give simple strategies for generating profits at zero risk. Examples illustrate that the bounds we give can be fairly tight. 相似文献
We find model-independent upper and lower bounds on the prices of knock-in and knock-out puts and calls. If the market prices the barrier options outside these limits then we give simple strategies for generating profits at zero risk. Examples illustrate that the bounds we give can be fairly tight. 相似文献
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Kit Pong Wong 《期货市场杂志》2016,36(5):506-518
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Raymond Kim 《期货市场杂志》2024,44(4):653-672
Hedging requires adequacy and timing. This paper finds that banks did not systematically ignore balance-sheet risks like Silicon Valley Bank (SVB), and instead exercised risk management by asymmetrically increasing hedging activity when security losses increase and scaling back hedging activity as security losses reverse. Banks also hedge against bank runs when risk increases due to a combination of security losses and funding risks from unsecured deposits. Findings suggest SVB's mistakes are idiosyncratic. Results suggest that nonstress test banks target balance-sheet risks when hedging, stabilizing themselves from interest rate shocks transmitted through fixed-income securities. Scrutiny of rules-based outliers like SVB is preferable to increased regulatory burden for all nonstress test banks. 相似文献
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近年来,我国的证券投资基金有了超常规的发展,因此,借鉴国外投资基金的管理经验已成为当务之急。作为一种风险管理的工具,动态套期保值在国外广泛应用于投资基金的组合管理中。通过对两种典型动态套期保值策略的计算机模拟,来检验其套期保值的效果。 相似文献