基于随机久期利率免疫的银行资产负债优化模型

银行资产负债管理是指商业银行在负债数量和结构一定的条件下、对资产进行优化配置,通过平衡资产的流动性、盈利性和安全性,以实现银行收益的最大化。本文通过Vasicek动态期限结构模型推导出随机久期,以包括存量与增量在内的全部资产随机久期等于全部负债随机久期为约束条件、控制利率风险,辅以现行法律法规等其他约束条件,建立全部资产负债组合的随机久期利率风险免疫模型,并通过算例说明本模型构建过程。本文的创新与特色有三:一是通过建立全部资产负债组合的利率免疫条件,对包括存量与增量在内的全部资产组合利率风险进行控制。改变了现有研究在进行资产配置时,仅对增量组合风险控制的弊端。二是通过资产负债的随机久期缺口等于0的利率风险免疫条件建立资产负债优化模型,确保在利率发生变化时,银行股东的所有者权益不受损失。三是以银行各项资产组合收益率最大化为目标函数,通过随机久期的利率免疫条件控制利率风险,建立了全部资产负债组合的随机久期利率风险免疫模型。改变了现有研究的资产负债管理模型忽略随机久期变动的影响。     

Arbitrage and the tax code

We provide a detailed characterization of arbitrage-free asset prices in the presence of capital gains and income taxes. The distinguishing feature of our analysis is that we impose on the model two important features of the tax code: the limited use of capital losses and the inability to wash sell. We show that under remarkably mild conditions, the lack of pre-tax arbitrage implies the lack of post-tax arbitrage with the limited use of capital losses. The conditions are that the risk free interest rate be positive and that tax rates on interest income exceed capital gains tax rates. The result also holds when only a wash sale constraint is imposed and no investor holds a portfolio with a large capital loss. We allow investors to face different tax rates and have different bases for the calculation of capital gains taxes. The characterizations we provide have important implications for both asset pricing and portfolio choice. Our results imply that models that use arbitrage-free pre-tax models continue for derivative pricing and hedging are also arbitrage free in a world with taxes. Similarly, portfolio choice models with taxes typically specify pre-tax arbitrage free price processes and then analyze portfolio choice in the presence of taxes. In these models, it is unclear if portfolio recommendations are based on risk-return tradeoffs or on the arbitrage opportunities present in the model. Our results imply that if the above features of the tax code are modeled explicitly, then we can isolate the post-tax risk-return tradeoffs.     

Retroactive price regulation and the fair rate of return

Excess profits taxes sometimes are used to prevent accumulation of monopolistic rent. We show that current operation of such taxes for property liability insurance does not. except by coincidence. result in an ex ante fair return on equity. Derivation of the tax threshold required to deliver a fair return is illustrated using capital asset pricing models. Implicit solutions are derived for non-insurance and insurance firms and a possible closed form solution also is presented. This tax creates incentives for avoidance by reducing the variance of the tax flows. This is a classic moral hazard problem. However adverse incentives may be reversed in a multiperiod context. We suggest that use of EPT and direct price regulation results in a system of ‘double taxation’, which likely will cause deficient returns to constituent firms.     

Climate policy under fat-tailed risk: an application of FUND

We apply four alternative decision criteria, two old ones and two new, to the question of the appropriate level of greenhouse gas emission reduction. In all cases, we consider a uniform carbon tax that is applied to all emissions from all sectors and all countries; and that increases over time with the discount rate. For a one per cent pure rate of the time preference and a rate of risk aversion of one, the tax that maximises expected net present welfare equals $120/tC in 2010. However, we also find evidence that the uncertainty about welfare may well have fat tails so that the sample mean exists only by virtue of the finite number of runs in our Monte Carlo analysis. This is consistent with Weitzman’s Dismal Theorem. We therefore consider minimax regret as a decision criterion. As regret is defined on the positive real line, we in fact consider large percentiles instead of the ill-defined maximum. Depending on the percentile used, the recommended tax lies between $100 and $170/tC. Regret is a measure of the slope of the welfare function, while we are in fact concerned about the level of welfare. We therefore minimise the tail risk, defined as the expected welfare below a percentile of the probability density function without climate policy. Depending on the percentile used, the recommended tax lies between $20 and $330/tC. We also minimise the fatness of the tails, as measured by the p-value of the test of the null hypothesis that recursive mean welfare is non-stationary in the number of Monte Carlo runs. We cannot reject the null hypothesis of non-stationarity at the 5 % confidence level, but come closest for an initial tax of $50/tC. All four alternative decision criteria rapidly improve as modest taxes are introduced, but gradually deteriorate if the tax is too high. That implies that the appropriate tax is an interior solution. In stark contrast to some of the interpretations of the Dismal Theorem, we find that fat tails by no means justify arbitrarily large carbon taxes.     

A mixed integer programming model for multistage mean–variance post-tax optimization

In this paper, we introduce a mixed integer stochastic programming approach to mean–variance post-tax portfolio management. This approach takes into account of risk in a multistage setting and allows general withdrawals from original capital. The uncertainty on asset returns is specified as a scenario tree. The risk across scenarios is addressed using the probabilistic approach of classical stochastic programming. The tax rules are used with stochastic linear and mixed integer quadratic programming models to compute an overall tax and return-risk efficient multistage portfolio. The incorporation of the risk term in the model provides robustness and leads to diversification over wrappers and assets within each wrapper. General withdrawals and risk aversion have an impact on the distribution of assets among wrappers. Computational results are presented using a study with different scenario trees in order to show the performance of these models.     

基于社会福利最大化的油气资源税费研究

合理的油气资源税费能够引导企业优化开发决策,平衡当代与后代利益关系,实现跨期资源有效配置。从跨期油气资源最优分配的角度,通过最优控制理论构建寡头垄断市场中社会福利最大化和企业利润最大化目标下的油气资源开发决策模型,并以社会福利最大化目标下的资源开发决策为基准,研究从价、从量、储量三种不同形式的油气资源税费对资源开发决策的调节作用,研究发现:(1)征收从价税费,最优的从价税率为26.4%,政府既可以保障社会最优,还可以获得较多的税费收入;(2)征收从量税费,从量税率为1.77元/吨,政府可以保证社会福利最大化,但相比从价税费政府的税费收入较少;(3)征收储量税费,社会福利最大化下的储量税费为-0.13元/吨,也就是政府需向企业进行补贴才可以保证社会最优,会形成一定的财政压力。     

Feedback in Accident Control

It is argued that accidents are the product of a basically simple closed-loop process. The forward causal chain is essentially observations-decisions-accidents, the relationship between decisions and accidents being a stochastic one. The loop is closed by the feedback of information from decisions to observations, which occurs when the consequences of past decisions help to determine a decision-maker's interpretation of his observations.The effect on a hazardous activity of a change in its properties, such as the introduction of a safety measure, can be widely diffused both in time and space because a change in a person's interpretation of his observations can affect his decisions throughout his subsequent participation in the activity. In practice it is very easy to observe only a local part of the effect of making a change to the system, such as when a dangerous cross-road is improved. It is suggested that material causes of accidents may determine the distribution of accidents without greatly affecting their total number. An operational game is proposed for investigating the extent to which subjects playing the game regulate the level of risk of incurring a penalty which they allow themselves to take.     

基于“黑箱”问题的政府碳排放调控政策设计及影响分析

本文在低碳经济背景下,针对我国制造企业生产和碳排放现状,在设定经济发展速度所决定的制造企业限额碳排放约束下,构建了基于“黑箱”问题的碳排放量-环境政策模型,研究政府如何制定碳税和补贴相结合的复合调控政策以控制企业的碳排放量。通过数值仿真结果,分析企业产量、产品价格与调控政策之间的关系,得出结论:基于“黑箱”问题的碳排放量-环境政策能够在降低碳排放量的同时维持企业的发展,单位碳税和超标碳排放量并不是一定的线性关系,但是总趋势可以看出,超标的碳排放量与单位碳税是正向关系;不同情境下的单一制造企业或不同情境下的多个制造企业的单位碳税和补贴不同,政府可以设置差异化碳税和补贴;碳税和补贴的变动对产品价格的变化幅度在-1%和1.5%之间,说明可以在降低碳排放量和满足生产量的同时使现实生活中产品的价格保持基本稳定。     

基于“黑箱”问题的政府碳排放调控政策设计及影响分析

本文在低碳经济背景下,针对我国制造企业生产和碳排放现状,在设定经济发展速度所决定的制造企业限额碳排放约束下,构建了基于“黑箱”问题的碳排放量-环境政策模型,研究政府如何制定碳税和补贴相结合的复合调控政策以控制企业的碳排放量。通过数值仿真结果,分析企业产量、产品价格与调控政策之间的关系,得出结论:基于“黑箱”问题的碳排放量-环境政策能够在降低碳排放量的同时维持企业的发展,单位碳税和超标碳排放量并不是一定的线性关系,但是总趋势可以看出,超标的碳排放量与单位碳税是正向关系;不同情境下的单一制造企业或不同情境下的多个制造企业的单位碳税和补贴不同,政府可以设置差异化碳税和补贴;碳税和补贴的变动对产品价格的变化幅度在-1%和1.5%之间,说明可以在降低碳排放量和满足生产量的同时使现实生活中产品的价格保持基本稳定。     

SECOND BEST TAXES AND QUOTAS IN NITROGEN REGULATION

This paper investigates second best policies to regulate nitrogen leaching. When the policy maker controls the total nitrogen use, an overall tax is superior to an action equivalent overall quota. When the goal is to regulate the expected level of nitrogen leaching, expected profit of a risk neutral farmer is greater under an overall tax than under an overall quota under a reasonable condition. The welfare ranking of action equivalent taxes and quotas for a risk averse farmer is generally ambiguous. In the numerical analyses, overall taxes turned out to be superior to overall quotas with both targets, despite a very high value of absolute risk aversion, 0.01. These results suggest that an overall tax is probably a superior policy to an overall quota to regulate expected total nitrogen use or expected nitrogen leaching for risk neutral and most of risk averse farmers.     

On stochastic mortality modeling

In the last decennium a vast literature on stochastic mortality models has been developed. All well-known models have nice features but also disadvantages. In this paper a stochastic mortality model is proposed that aims at combining the nice features from the existing models, while eliminating the disadvantages. More specifically, the model fits historical data very well, is applicable to a full age range, captures the cohort effect, has a non-trivial (but not too complex) correlation structure and has no robustness problems, while the structure of the model remains relatively simple. Also, the paper describes how to incorporate parameter uncertainty in the model. Furthermore, a risk neutral version of the model is given, that can be used for pricing.     

Morality,tax evasion,and equity

This paper considers tax evasion with morality and its implication for equity of the tax system. In the standard model of tax evasion without moral costs, higher-income taxpayers evade more, relative to their incomes, than lower-income taxpayers, and evasion makes the tax system regressive. With moral costs, equity of the tax system depends on the degree of morality. As the level of morality in society increases, it increases moral costs of evasion and evasion become inferior. Higher-income taxpayers evade less and pay more taxes, and evasion makes the tax system progressive for a high level of morality. The opposite holds true and evasion makes the tax system regressive for a low level of morality.     

One-year Value-at-Risk for longevity and mortality

Upcoming new regulation on regulatory required solvency capital for insurers will be predominantly based on a one-year Value-at-Risk measure. This measure aims at covering the risk of the variation in the projection year as well as the risk of changes in the best estimate projection for future years. This paper addresses the issue how to determine this Value-at-Risk for longevity and mortality risk. Naturally, this requires stochastic mortality rates. In the past decennium, a vast literature on stochastic mortality models has been developed. However, very few of them are suitable for determining the one-year Value-at-Risk. This requires a model for mortality trends instead of mortality rates. Therefore, we will introduce a stochastic mortality trend model that fits this purpose. The model is transparent, easy to interpret and based on well known concepts in stochastic mortality modeling. Additionally, we introduce an approximation method based on duration and convexity concepts to apply the stochastic mortality rates to specific insurance portfolios.     

基于税款时间价值的税企博弈模型

本文在考虑税款时间价值的前提下,通过建立税企博弈模型,给出罚款系数与税款滞纳金征收率之间的关系,分析偷税罚款赦免的因素,指出确定动态罚款系数的方法,为税务执行部门合理使用偷税罚款自由裁量权提供了可操作的理论工具.     

基于Heston随机波动率模型和风险偏好视角的资产负债管理

本文研究基于Heston随机波动率模型的资产负债管理问题。假设金融市场由一个无风险资产和一个风险资产构成,投资者的目标是最大化其终端财富的期望效用。应用随机控制方法,得到了该问题最优资产配置策略的解析表达式和相应值函数的解析解,通过数值算例分析了Heston模型主要参数以及债务对最优资产配置策略的影响。结果表明:配置到风险资产的比例对Heston模型中的参数非常敏感;为了对冲债务风险,负债的引入使得配置到风险资产的比例比无负债情形下的高;在风险厌恶系数变大时,无论投资者是否有负债,其投资到风险资产的比例则越来越低。     

Asset management and surplus distribution strategies in life insurance: An examination with respect to risk pricing and risk measurement

In this paper, we investigate the impact of different asset management and surplus distribution strategies in life insurance on risk-neutral pricing and shortfall risk. In general, these feedback mechanisms affect the contract’s payoff and hence directly influence pricing and risk measurement. To isolate the effect of such strategies on shortfall risk, we calibrate contract parameters so that the compared contracts have the same market value and same default-value-to-liability ratio. This way, the fair valuation method is extended since, in addition to the contract’s market value, the default put option value is fixed. We then compare shortfall probability and expected shortfall and show the substantial impact of different management mechanisms acting on the asset and liability side.     

INVESTIGATING TAX DISTORTIONS: AN APPLIED MODEL OF PETROLEUM EXPLORATION AND EXTRACTION DECISIONS

Abstract A numerical model is proposed for the testing of distortions caused by petroleum fiscal systems on the exploration and extraction activities of a profit‐maximizing firm. Traditional models have not been capable of testing for the distortions caused by the complex tax structures most often used by governments. Two tax combinations, as well as certain other taxes, are analyzed for distortions in the model. The model is parameterized using generic data because specific jurisdictions are not considered. The distortions due to rentals and royalties are as expected by theory. Property taxes show a new distortion result where production tilting is ambiguous.     

Assessing inflation risk in non-life insurance

Inflation risk is of high relevance in non-life insurers’ long-tail business and can have a major impact on claims reserving. In this paper, we empirically study claims inflation with focus on automobile liability insurance based on a data set provided by a large German non-life insurance company. The aim is to obtain empirical insight regarding the drivers of claims inflation risk and its impact on reserving. Toward this end, we use stepwise multiple regression analysis to identify relevant drivers based on economic indices related to health costs and consumer prices, amongst others. We further study the impact of (implicitly and explicitly) predicting calendar year inflation effects on claims reserves using stochastic inflation models. Our results show that drivers for claims inflation can considerably vary for different lines of business and emphasize the importance of explicitly dealing with (stochastic) claims inflation when calculating reserves.     

Fair valuation of insurance contracts under Lévy process specifications

The valuation of options embedded in insurance contracts using concepts from financial mathematics (in particular, from option pricing theory), typically referred to as fair valuation, has recently attracted considerable interest in academia as well as among practitioners. The aim of this article is to investigate the valuation of participating and unit-linked life insurance contracts, which are characterized by embedded rate guarantees and bonus distribution rules. In contrast to the existing literature, our approach models the dynamics of the reference portfolio by means of an exponential Lévy process. Our analysis sheds light on the impact of the dynamics of the reference portfolio on the fair contract value for several popular types of insurance policies. Moreover, it helps to assess the potential risk arising from misspecification of the stochastic process driving the reference portfolio.     

ALM models based on second order stochastic dominance

Computational Management Science - We propose asset and liability management models in which the risk of underfunding is modelled based on the concept of stochastic dominance. Investment decisions...