带跳过程的亚式期权的定价

本文研究了固定敲定价格亚式期权的定价问题.利用Chen和Lyuu[1]的近似分析,获得了完备市场下亚式期权下界的精确表达,推广了文献[4]中的结果到非时齐Poisson跳的广义Black-Scholes模型中,本文模型更符合实际市场规律.     

De-noising option prices with the wavelet method

Financial time series are known to carry noise. Hence, techniques to de-noise such data deserve great attention. Wavelet analysis is widely used in science and engineering to de-noise data. In this paper we show, through the use of Monte Carlo simulations, the power of the wavelet method in the de-noising of option price data. We also find that the estimation of risk-neutral density functions and out-of-sample price forecasting is significantly improved after noise is removed using the wavelet method.     

Pricing game of online display advertisement publishers

We consider online display advertisement publishers who maximize the revenue by optimal pricing in an oligopoly setting. Each publisher interacts with others through setting cost-per-impression (CPM) that affects the demand for everyone. Using the pseudoconcavity of the objective function, we prove that a unique best response Nash equilibrium exists for each publisher. We also consider the sensitivity of the publisher while other publishers changes their CPM. In both cases, the best response of the publisher depends entirely on her current best response CPM. We provide an algorithm for finding the equilibrium and illustrate by numerical examples.     

基于二部制的价格歧视方法

产品实施价格二部制的企业大量采用二级价格歧视、三级价格歧视方法外,还存在混合价格歧视.研究表明:企业收益最大化目标下实施这些价格歧视方法时,固定价格和从量价格的需求弹性、用户数、单位时间里的收益以及用户区间、资费区间分别需要满足不同的条件.这些结论为企业实施二部价格歧视提供了理论依据和决策参考.     

Price bounds of mortality-linked security in incomplete insurance market

This study investigates reasonable price bounds for mortality-linked securities when the issuer has only a partial hedging ability. The price bounds are established by minimizing the difference between the benchmark price and the replicating portfolio cost subject to the gain–loss ratio of excess payoff of the mortality-linked securities. In contrast to the previous studies, the assumptions of no-arbitrage pricing and utility-based pricing are not fully employed in this study because of the incompleteness of the insurance securitization market. Instead, a framework including three insurance basis assets is constructed to search for the price bounds of mortality-linked securities and use the Swiss Re mortality catastrophe bond, issued in 2003, as a numerical example. The proposed price bounds are valuable for setting bid–asked spreads and coupon premiums, and establishing trading strategies in the raising mortality securitization markets.     

The hidden information content of price movements

Dynamic patterns of prices in different markets may motivate (strategic) consumers, who could be monitoring price movements over time, to game vendors. Do past price movements carry information about the probability and magnitude of future price drops?Conducting empirical work in the airline industry on near 1000 US domestic routes, we find that some price-metrics carry information about future price swings: these variables can assist in predicting the likelihood and magnitude of price drops. These price-metrics yield significantly different signals which also vary as the prediction horizon changes.     

A stable local radial basis function method for option pricing problem under the Bates model

We propose a local mesh‐free method for the Bates–Scott option pricing model, a 2D partial integro‐differential equation (PIDE) arising in computational finance. A Wendland radial basis function (RBF) approach is used for the discretization of the spatial variables along with a linear interpolation technique for the integral operator. The resulting set of ordinary differential equations (ODEs) is tackled via a time integration method. A potential advantage of using RBFs is the small number of discrete equations that need to be solved. Computational experiments are presented to illustrate the performance of the contributed approach.     

Optimal multivariate quota-share reinsurance: A nonparametric mean-CVaR framework

In this paper, the Conditional Value-at-Risk (CVaR) is adopted to measure the total loss of multiple lines of insurance business and two nonparametric estimation methods are introduced to explore the optimal multivariate quota-share reinsurance under a mean-CVaR framework. While almost all the existing literature on optimal reinsurance are based on a probabilistic derivation, the present paper relies on a statistical analysis. The proposed optimal reinsurance models are directly formulated on empirical data and no explicit distributional assumption on the underlying risk vector is required. The resulting nonparametric reinsurance models are convex and computationally amenable, circumventing the difficulty of computing CVaR of the sum of a generally dependent random vector. Statistical consistency of the resulting estimators for the best CVaR is established for both nonparametric models, allowing empirical data to be generated from any stationary process satisfying strong mixing conditions. Finally, numerical experiments are presented to show that a routine bootstrap procedure can capture the distributions of the resulting risk measures well for independent data.     

组合证券保险在我国的一种可行方法

介绍组合证券保险及其基本方法,详细分析我国目前唯一可行的方法-利用动态套期保值创造合成期权,用我国炉市1998年和1997年的据进行实证检验,将资金在组合证券和国债间合理分配,并随着指数的变化追踪调查,从而达到预期目标,说明组合证券保险如何在不限制盈利的同时规避风险。     

Cash flow models for pricing mortgages

A number of recent trends have led academics and practitionersto question the separation in theory, practice and regulationbetween the insurance and banking industries. These trends haveincluded corporate integration and the creation of financialconglomerates, the creation of products such as credit derivativesand credit insurance, which involve underwriting similar risksin both banks and non-banks, and the recent development of morestandardized accounting practices. Until recently, the methodologiesfor pricing insurance and banking products were quite separate.This paper presents an approach to pricing mortgages that iscommonly used for pricing insurance products. Pricing the twoshould not be radically different, since the fundamental financialcharacteristics of the products offered are similar. The modelexplicitly identifies different elements of the cash flows tothe providers of equity capital and prices the loan to achievean appropriate risk-adjusted rate of return on equity capital.Expenses, size of loan, term of loan and special ‘features’(such as cash backs) can be as, or more, important than defaultrisk when pricing mortgages. Methodologies similar to the oneproposed are now used in the banking sector for analysing theprofitability of a new product prior to launch. However, creditscoring techniques would still generally be used in taking lendingdecisions in individual cases.