债权价值评估中因保证责任产生的或有负债的处理

债权价值评估因其复杂性和开拓性尚未形成统一规范.本文在假设强制清算法的框架下,以案例分析的形式探讨债务人因保证责任产生的或有负债在债权价值评估时的处理方法.     

Fair Valuation of Equity-Linked Policies under Insurer Default Risk

Abstract

We consider the problem of computing the fair value of equity-linked policies with an interestrate guarantee when the insurer is subject to credit risk. The framework is developed based on modern financial theory using the no-arbitrage principle. In this context, an equity-linked policy is considered as a vulnerable contingent claim that expires before maturity if the firm asset value reaches a prespecified default threshold depending on the firm’s liabilities. We derive a closedform formula in a continuous-time environment to compute the fair value of the contract. We also develop a discrete-time model that allows us to address fair evaluation when the policy embeds a surrender option.     

Guarantees in With-Profit and Unitized With-Profit Life Insurance Contracts: Fair Valuation Problem in Presence of the Default Option

The purpose of the article is to apply contingent claim theory to the valuation of the type of participating life insurance policies commonly sold in the UK. The article extends the techniques developed by Haberman, Ballotta, and Wang (2003) to allow for the default option. The default option is a feature of the design of these policies, which recognizes that the insurance company's liability is limited by the market value of the reference portfolio of assets underlying the policies that have been sold. The valuation approach is based on the classical contingent claim pricing “machinery,” underpinned by Monte Carlo techniques for the computation of fair values. The article addresses in particular the issue of a fair contract design for a complex type of participating policy and analyzes in detail the feasible set of policy design parameters that would lead to a fair contract and the trade‐offs between these parameters.     

Valuation of Participating Life Insurance Liabilities

Surrender and paid-up states are incorporated in the valuation of guaranteed benefits and payments of a level premium paying life insurance policy.

We present different valuation methods and examine to what extent they avoid capitalizing and releasing future loadings which are associated with the payment of future premiums.

We demonstrate how to avoid capital being required in the future to cover valuation strains. The paid-up benefit valuation method is being extended so that it does not require the premium basis to be on the safe-side of the valuation basis. We obtain a unification and integration of the level premium and paid-up valuation principles.     

Pension Valuation Under Uncertainties: Implementation of a Stochastic and Dynamic Monitoring System

Financial soundness and funding stability are two critical issues in pension fund management. First, we construct a generalized stochastic model to monitor the solvency risk and cash flow dynamics of the defined benefit pension plan. A semi‐Markov process proposed by Dominicis et al. (1991) and Janssen and Manca (1997) is employed in structuring the transition pattern of the plan's population, and the economic‐based factors are generated through plausible stochastic processes. Modifications according to classification and movements of the plan member and the plan's turnover pattern are also employed to improve its practical usefulness. Then the actuarial valuations, cash flow analyses, and workforce projection are performed and investigated. Second, we explicitly formulate the plan dynamics and implement the proposed mechanism into a risk management framework for pension management. By employing the stochastic and dynamic approach, the cost factors can be monitored throughout the valuation process. Third, we outline the procedure of implementing the proposed methodology into a monitoring system. Finally, the Taiwan Public Employees Retirement System is simplified to illustrate techniques in achieving risk management goals.     

Valuation of Residential Mortgage-Backed Securities with Default Risk Using an Intensity-Based Approach

This paper develops a valuation model for fixed-rate mortgages, mortgage pools, and residential mortgage-backed securities (RMBS's) using an intensity-based approach. This model incorporates full prepayment, partial prepayment, and default in valuing a mortgage. Full prepayment is further classified into “refinancing” and “sale of a house” depending on the reason. The time of occurrence of each of these three types of prepayment and default is modeled as the first jump time of a Cox process. Under these conditions, the valuation formula for a mortgage as well as a partial differential equation (PDE) that the mortgage value satisfies is provided. As for implementation of the model, the short-term riskless interest rate and the house price are adopted as state variables. Each intensity process is specified in a manner that allows a jump in intensity depending on the state variables and the borrower's incentive for prepayment or default. Through such specifications, it is shown that our model has characteristics similar to some structural models in previous literature. As for the numerical method for valuation, we propose a simple backward induction technique on a tree instead of the commonly used Monte Carlo method. Additionally, the method for estimating the model is discussed, and the results of numerical simulations are reported.This paper represents the view of the author and does note necessarily the views of the Mitsubishi UFJ Securities Co., Ltd. or members of its staff.     

An Extended Set of Risk Neutral Valuation Relationships for the Pricing of Contingent Claims

This article establishes an extended set of risk neutral valuation relationships (RNVR's), assuming a representative agent who has an extended power utility function, of the HARA class of utility functions. The utility function of the representative agent displays either increasing, constant or decreasing proportional risk aversion. Aggregate consumption and the random payoff of the underlying asset are bivariate three-parameter lognormal distributed. As an application of the RNVR's, closed-form solutions for the price of a call written on a stock are derived. These include an extra parameter, the threshold parameter, not contained in the Black-Scholes formula.     

Politics, Insurance Regulation, and Unfunded Pension Liabilities

ABSTRACT: Insurance regulators operate in an environment in which resources are scarce and issues are most often complex and not salient to affected persons. Consequently, regulatory agencies, such as the Pension Benefit Guaranty Corporation (PBGC), need to use resources efficiently by making issues salient and not complex if regulatory goals are to be attained. To further its goal of full funding of defined benefit pension plans, the PBGC annually published a list of the Top Fifty Companies With the Largest Underfunded Pension Liability (LIST). This article investigates the issue of the economic effects of pension plan disclosure by measuring the share price response of the companies included on the LIST; then policy implications are drawn. The event study findings show that, on average, publication of the LIST did not have a negative effect on firm value. However, cross-sectional analysis provides some support for the contention that publication of the LIST had an economic cost on LISTed firms. The authors' results show that the value of large firms on the PBGC's list is less negatively affected at arrival (ARRIVAL) than smaller LISTed firms. Conversely, when firms leave the list (DEPARTURE), the value of large growth-oriented firms is more negatively affected than the value of other firms that reduce their unfunded pension liability. From a policy perspective, as hypothesized by Meier (1991), the PBGC used its scarce resources effectively by publishing the LIST. The issue of unfunded pension liability became less complex and more salient to interested parties. Consequently, consumer groups and political elites provided their support to further the regulatory agency's stated goal, which was the full funding of defined benefit pension plans. Furthermore, increased awareness of the underfunding problem contributed to the passage of the Retirement Protection Act of 1994.     

Multivariate Models of Equity Returns for Investment Guarantees Valuation

Abstract

In this paper we investigate the valuation of investment guarantees in a multivariate (discrete-time) framework. We present how to build multivariate models in general, and we survey the most important multivariate GARCH models. A direct multivariate application of regime-switching models is also discussed, as is the estimation of these models using maximum likelihood and their comparison in a multivariate setting. The computation of the CTE provision is further presented. We have estimated the models with a multivariate dataset (Canada, United States, United Kingdom, and Japan), and we compared the quality of their fit using multiple criteria and tests. We observe that multivariate GARCH models provide a better overall fit than regime-switching models. However, regime-switching models appropriately represent the fat tails of the returns distribution, which is where most GARCH models fail. This leads to significant differences in the value of the CTE provisions, and, in general, provisions computed with regime-switching models are higher. Thus, the results from this multivariate analysis are in line with what was obtained in the literature of univariate models.     

Pension Benefit Security: A Comparison of Solvency Requirements,a Pension Guarantee Fund,and Sponsor Support

Developed countries apply different security mechanisms in regulation to protect pension benefits: solvency requirements, a pension guarantee fund (PGF), and sponsor support. We compare these mechanisms for a generalized form of hybrid pension schemes. We calculate the expected log return for the beneficiaries, the shortfall probability, that is, the likelihood of the pension payment falling below the promised level and the expected loss given shortfall. Comparing solvency requirements to a pension guarantee system or sponsor support involves trading off risk and return. Additional spending on default insurance reduces the shortfall probability and the expected loss given shortfall but also lowers the probability of high positive returns as are feasible under solvency requirements.     

警惕流动性压力下政府隐性和或有债务风险的上升

在我国经济结构失衡、人民币汇率形成机制改革的条件下,大量的境外资金以各种渠道进入我国,国内的高储蓄倾向和金融市场的不完善,使得资金大量涌入银行体系,导致银行被动持有大量流动性资产.本文深入探讨了流动性压力对银行不良资产、央行冲销成本以及社保基金等政府隐性和或有债务的影响,并提出了相应的对策建议.     

On the Asset Allocation of a Default Pension Fund

We characterize the optimal default fund in a defined contribution (DC) pension plan. Using detailed data on individuals' holdings inside and outside the pension system, we find substantial heterogeneity within and between passive and active investors in terms of labor income, financial wealth, and stock market participation. We build a life‐cycle consumption‐savings model, with a DC pension account and an opt‐out/default choice, that produces realistic investor heterogeneity. Relative to a common age‐based allocation, implementing the optimal default asset allocation implies a welfare gain of 1.5% during retirement. Much of the gain is attainable with a simple rule of thumb.     

Bank Contingent Capital: Valuation and the Role of Market Discipline

This paper develops a structural model to evaluate contingent capital notes (CCN) of Basel III under alternative regulatory closure rules. Our dynamic model has a fixed default barrier and at specific discrete time points an additional higher default barrier depending on the closure threshold. The closed-form expressions of CCN and subordinated debts (SD) in the simple Merton model are presented to understand the convex relationship between the price and capital ratio trigger of CCN and to examine the effects of closure rules on CCN and SD through their derivatives’ properties. Our numerical results in the more general model show that a lax closure rule increases the price of SD and distorts the risk information of issuing banks, but not so for CCN. The policy implications are that CCN are more effective than SD in terms of enhancing market discipline because the price/yield information of CCN is more sensitive to the issuing bank’s risk than SD and will not be distorted by regulatory closure rules.     

Market Value of Liabilities Mortality Risk

Abstract

Market values of the invested assets are frequently published. For most insurance liabilities, there are no published market values and, therefore, these have to be constructed. This construction can be based on a best estimate and a price for the risks in the liabilities. This paper presents a model explaining how the best estimate and the price of mortality risk can be constructed. Several methods to describe the risks are already known. The purpose of this paper is to describe a method to determine the mortality risk in a practical way.     

Valuation of the Firm's Liabilities When Equity Holders Are Also Creditors

Abstract:  This paper presents a tractable structural model whereby controlling equity holders are also among the creditors of the firm. As the firm approaches distress, equity holders can drain the assets of the firm and expropriate other creditors by repaying their credit before bankruptcy. The right of the bankruptcy court to revoke such repayment protects arm's length creditors, reduces the cost of borrowing and induces equity holders to anticipate repayment of their credit. Equity holders decide repayment neither too early nor too late, so as to reduce the risk of repayment revocation by the bankruptcy court. Similar conclusions apply to the preferential repayment of bank loans personally guaranteed by equity holders. The analysis also suggests that callable bearer bonds may be more valuable to equity holders than to other creditors.     

The Default Risk of Swaps

We characterize the exchange of financial claims from risky swaps. These transfers are among three groups: shareholders, debtholders, and the swap counterparty. From this analysis we derive equilibrium swap rates and relate them to debt market spreads. We then show that equilibrium swaps in perfect markets transfer wealth from shareholders to debtholders. In a simplified case, we obtain closed-form solutions for the value of the default risk in the swap. For interest-rate swaps, we obtain numerical solutions for the equilibrium swap rate, including default risk. We compare these with equilibrium debt market default risk spreads.     

Municipal Bond Liquidity and Default Risk

This paper examines the pricing of municipal bonds. I use three distinct, complementary approaches to decompose municipal bond spreads into default and liquidity components, and find that default risk accounts for 74% to 84% of the average spread after adjusting for tax‐exempt status. The first approach estimates the liquidity component using transaction data, the second measures the default component with credit default swap data, and the third is a quasi‐natural experiment that estimates changes in default risk around pre‐refunding events. The price of default risk is high given the rare incidence of municipal default and implies a high risk premium.     

The Valuation of Multivariate Contingent Claims in Discrete Time Models

There are several examples in the literature of contingent claims whose payoffs depend on the outcomes of two or more stochastic variables. Familiar cases of such claims include options on a portfolio of options, options whose exercise price is stochastic, and options to exchange one asset for another. This paper derives risk neutral valuation relationships (RNVRs) in a discrete time setting that facilitate the pricing of such complex contingent claims in two specific cases: joint lognormally distributed underlying variables and constant proportional risk aversion on the part of investors, and joint normally distributed underlying variables and constant absolute risk aversion preferences, respectively. This methodology is then applied to the valuation of several interesting complex contingent claims such as multiperiod bonds, multicurrency option bonds, and investment options.