Risk management of deposit insurance corporations with risk-based premiums and credit default swaps

In this paper, we propose a risk-based model for deposit insurance premiums and provide the closed-form formula for premiums, including early closure, capital forbearance, interest rate risk, and moral hazard. Our numerical analysis confirms the proposed pricing formula and the relative impact of the provisions for deposit insurance premiums. We illustrate how to use credit default swaps (CDSs) to manage the bank’s asset risk corresponding to the deposit insurance model. A failed bank, Washington Mutual, is used to demonstrate how to calibrate the model’s parameters and calculate fair premiums that are consistent with market risks on the basis of our proposed model and credit derivatives. Finally, a numerical experiment is designed to determine the optimal hedge ratio, which can minimise the variance of cash-flow of the deposit insurance corporations.     

Deposit insurance system,risk-adjusted premium and bank systemic risk: Evidence from China

In this paper, we investigate whether and how the Deposit Insurance (DI) system and its Risk-adjusted Premium (RAP) scheme affect the systemic risk of Chinese banks. Based on bank-level panel data from 2007 to 2020 and the difference-in-differences (DID) method, we find that the establishment of the explicit DI system in China increases bank systemic risk, while the implementation of RAP alleviates this negative impact by reducing systemic risk. We further find the mechanism behind this phenomenon that bank profit acts as a mediator. We also find evidence for international heterogeneity using cross-country data and show that, as China has a longstanding implicit government guarantee, the establishment of explicit DI actually reduces the extent to which banks are protected, thus increasing bank systemic risk. Our study highlights the specificity of Chinese DI system, offers important policy implications for the design of financial safety nets in China and worldwide.     

Market discipline and deposit insurance reform in Japan

On April 1, 2002, the Japanese government lifted a blanket guarantee of all deposits and began limiting the coverage of time deposits. This paper uses this deposit insurance reform as a natural experiment to investigate the relationship between deposit insurance coverage and market discipline. I find that the reform raised the sensitivity of interest rates on deposits, and that of deposit quantity to default risk. In addition, the interest rate differentials between partially insured large time deposits and fully insured ordinary deposits increased for risky banks. These results suggest that the deposit insurance reform enhanced market discipline in Japan. I also find, however, that too-big-to-fail (TBTF) policy became a more important determinant of interest rates and deposit allocation after the reform, thereby partially offsetting the positive effects of the deposit insurance reform on overall market discipline.     

Capital regulation,deposit insurance and bank risk: International evidence from normal and crisis periods

In this paper, we examine the impact of capital regulation on bank risk and the moderating role of deposit insurance on the relationship between capital regulation and bank risk during both normal and crisis periods. Using an international sample of banks from 111 countries, our results show that stringent capital regulation reduces bank default risk, in general, during normal growth period, and this effect is not conditioned by the existence of explicit deposit insurance. Further, stringent capital regulation in place during the pre-crisis period reduces bank default risk during the crisis period, and this effect is stronger for countries with explicit deposit insurance during the pre-crisis period. These results have important policy implications to design the optimal bank regulations.     

The pricing of deposit insurance considering bankruptcy costs and closure policies

The paper aims to study the pricing issue of deposit insurance with explicit consideration of bankruptcy costs and closure policies. Full coverage from deposit insurance is imposed by many regulators to stabilize the banking system in the current financial crisis, despite of the potential moral hazard problems. We argue that bankruptcy cost is an important factor in pricing deposit insurance, especially when the insured institution is insolvent. Applying the isomorphic relationship between deposit insurance and put option, we first derive a closed-form solution for the pricing model with bankruptcy costs and closure policies. Then, we modify the barrier option approach to price the deposit insurance in which the bankruptcy cost is set as a function of asset return volatility and more realistic closure policies considering possible forbearance can be accounted for. The properties of the models are supported by numerical simulations and are consistent with the risk-based pricing scheme.     

The pricing of deposit insurance in the presence of systematic risk

Based on the Merton (1977) put option framework, we develop a deposit insurance pricing model that incorporates asset correlations, a measurement for the systematic risk of a bank, to account for the risk of joint bank failures. Estimates from our model suggest that actuarially fair risk-based deposit insurance that considers only individual bank failure risk is underpriced, leaving insurance providers exposed to net losses. Our estimates also capture the size premium where big banks are priced with higher deposit insurance than small banks. This result is particularly relevant to the current regulatory concerns on big banks that are too-big-to-fail. Above all, our approach provides a unifying framework for integrating risk-based deposit insurance with risk-based Basel capital requirements.     

Political institutions and bank risk-taking behavior

This paper examines the impact of political institutions on bank risk-taking behavior. Using an international sample of banks from 98 countries over the period 1998–2007, I document that sound political institutions stimulate higher bank risk-taking. This is consistent with the hypotheses that better political institutions increase banks’ risk by boosting the credit market competition from alternative sources of finance and generating the moral hazard problems due to the expectation of government bailouts in worst economic conditions. While it is contrary to the hypotheses that better political institutions decrease banks’ risk by lowering the government expropriation risk and the information asymmetries between banks and borrowers. The results are robust to a number of sensitivity tests, including alternative proxies of bank risk-taking and political institutions, cross-sectional bank- and country-level regressions, endogeneity concerns of political institutions, country income levels, explicit deposit insurance schemes and sample extension from 1998 to 2014. I also examine the interdependence between political and legal institutions and find that political and legal institutions complement each other to influence bank risk-taking behavior.     

Adverse selection and moral hazard: Quantitative implications for unemployment insurance

A model of optimal unemployment insurance with adverse selection and moral hazard is constructed. The model generates both qualitative and quantitative implications for the optimal provision of unemployment insurance. Qualitatively, for some agents, incentives in the optimal contract imply consumption increases over the duration of non-employment. Calibrating the model to a stylized version of the U.S. economy quantitatively illustrates these theoretical predictions. The optimal contract achieves a welfare gain of 1.94% relative to the current U.S. system, an additional 0.87% of gains relative to a planner who ignores adverse selection and focuses only on moral hazard.     

Demand for insurance in a portfolio setting

This paper takes an additional step toward analyzing the demand for insurance in the context of a portfolio model. An investor is endowed with a portfolio containing a risky and riskless asset that can be augmented by purchasing insurance. Here, insurance is paid for by reducing the quantity of the risky insurable asset, holding the quantity of the riskless asset fixed. In the standard insurance demand model, insurance is paid for by reducing the amount of the riskless asset. This distinction leads to a different insurance demand function because the opportunity cost of purchasing insurance is now random.     

税务征收体制下的社会保险费征管制度建设研究

我国社会保险费征管体制改革正在不断深入。当前,社会保险费征管仍存在制度设计有待完善、法律依据不够清晰的问题。本文基于税收征管视角,对社会保险费征管制度进行了重新审视,在全面梳理了制约社会保险费征管制度完善的限制性因素的基础上,从科学设置社会保险费征管前置程序、全面构建社会保险费征管的保障程序等多个方面,对将社会保险费征管融入税收征管流程的可行性进行了分析和探讨,以期为我国社会保险费征管制度的完善提供参考。     

Redistributive taxation and social insurance under adverse selection in the insurance market

This paper extends the analysis of optimal income taxation under uncertainty studied by Cremer and Pestieau (International Tax and Public Finance, 3, 281–295, 1996). We introduce asymmetric information in the insurance market whereby private insurance companies cannot identify the risk probability of the agents, and we examine its effect on public policy. We consider the separating equilibrium of Rothschild and Stiglitz (Quarterly Journal of Economics, 90, 629–649, 1976) and Riley (Econometrica, 47, 331–359, 1979) where the low risk agent is only partially insured. The presence of the distortion in the insurance market changes the affinity of labor, and in some cases, we show that the scope of redistribution and the resulting social welfare are higher under asymmetric information than under full information. We also show that the increase in social insurance affects the utility and labor incentive of the low risk type by relaxing the self-selection constraint in the insurance market. The policy implications of the redistributive taxation and social insurance are analytically and numerically examined.      

金融创新如何缓解信任品市场失灵?——中国食品安全责任强制保险的自然实验

信任品市场(如食品、医药等)存在的问题一直困扰着中国和世界很多国家。关于产品和服务质量的信息不对称(道德风险和逆向选择)会导致信任品市场失灵。缓解信任品市场失灵,一种常见的解决方案是政府监管;而经济学家认为更加基于市场的解决方案(例如强制责任保险等金融创新)可能更为有效。在理论上,强制责任保险有两种相反的效应:保险公司的监督减少了道德风险 vs. 保险加剧了企业的道德风险,但一直亟待实证检验。幸运的是,中国食品安全责任强制保险的改革实验走在了世界的前列。本文利用了中国在不同地区、不同时间推行的这个自然实验,通过双重差分的方法识别出责任保险对于信任品市场的因果效应。本文的研究发现,强制责任保险能显著降低食品安全事故发生概率。这表明政府强制推行的金融创新可以成为信任品市场失灵的一种有效的替代性解决方案。     

The seeds of a crisis: A theory of bank liquidity and risk taking over the business cycle

We examine how the banking sector could ignite the formation of asset price bubbles when there is access to abundant liquidity. Inside banks, to induce effort, loan officers are compensated based on the volume of loans. Volume-based compensation also induces greater risk taking; however, due to lack of commitment, loan officers are penalized ex post only if banks suffer a high enough liquidity shortfall. Outside banks, when there is heightened macroeconomic risk, investors reduce direct investment and hold more bank deposits. This ‘flight to quality’ leaves banks flush with liquidity, lowering the sensitivity of bankers’ payoffs to downside risks and inducing excessive credit volume and asset price bubbles. The seeds of a crisis are thus sown.     

论我国养老保险逃费的危害、原因和治理

养老保险基金主要由劳动者和企事业单位缴费形成,它是养老保险制度赖以建立的基础。养老保险逃费对这一基础起着极大的破坏作用。调查研究结果表明,我国的养老保险逃费问题比较突出,相当一部分应缴费单位和个人都存在逃费现象,逃费形式花样百出,它直接影响养老保险制度的正常运行和发展。逃费是经济发展水平和劳动者的收入状况、养老保险主体行为和养老保险制度本身多种因素共同作用的结果。克服养老保险逃费需要从多方面着手:努力发展经济,不断提高劳动者收入;改革养老保险管理制度;充分调动企业参加养老保险的积极性;提高劳动者参加养老保险的积极性;强化各级政府的责任;加强养老保险管理部门的责任。     

The price,quality and distribution of mortgage payment protection insurance: A hedonic pricing approach

Mortgage payment protection insurance (hereafter MPPI) provides varying combinations of accident, sickness and unemployment insurance and is used to protect the mortgage payments of policyholders in the event of a fall in income. Despite alleviating housing market failures, this service has been heavily criticised for providing poor value for money and being associated with unhelpful sales techniques especially when sold jointly with a mortgage in the UK. Consequently, the Competition Commission (2009) ruled that after February 2011 MPPI should not be sold jointly with mortgage lending within seven days of the credit transaction. We examine whether this prohibition was justified and if the form of distribution, either jointly with the mortgage or independently influences the premium levels. This assessment uses a hedonic pricing approach with details and premiums of MPPI policies in 2010 and 2012. Despite the success in reducing MPPI premium levels, we conclude that the Competition Commission judgement has raised concerns as to mortgagee protection.     

The interplay between risk adjustment and risk rating in voluntary health insurance

Many regulated health insurance markets include risk adjustment (aka risk equalization) to mitigate selection incentives for insurers. Empirical studies on the design and evaluation of risk-adjustment algorithms typically focus on mandatory health insurance schemes. This paper considers risk adjustment in the context of voluntary health insurance, as found in Chile, Ireland, and Australia. In addition to the challenge of mitigating selection by insurers, regulators of these voluntary schemes have to deal with selection by consumers in and out of the market. A strategy for mitigating selection by consumers is to apply some form of risk rating. Our paper shows how risk adjustment and risk rating interact: (1) risk rating reduces the need for risk adjustment and (2) risk adjustment reduces premium variation across rating factors, thereby increasing incentives for consumers to select in and out of the market.     

Persistency of window dressing practices in the U.S. repo markets after the GFC: The unexplored role of the deposit insurance premium

We investigate whether the regulatory improvements made in the aftermath of the global financial crisis have been effective in limiting bank downward window dressing by means of repos in the United States. We find that a strict application of the Basel III regulation wipes out incentives to engage in window dressing to bolster the level of leverage Tier 1 ratio at quarter-end. We also show that the persistency of window dressing is related to the computation of the Federal Deposit Insurance Corporation assessment base, which motivates banks to engage in window dressing to reduce the deposit insurance premium.     

Moral hazard and adverse selection in the originate-to-distribute model of bank credit

Bank credit has evolved from the traditional relationship banking model to an originate-to-distribute model. We show that the borrowers whose loans are sold in the secondary market underperform their peers by about 9% per year (risk-adjusted) over the three-year period following the initial sale of their loans. Therefore, either banks are originating and selling loans of lower quality borrowers based on unobservable private information (adverse selection), and/or loan sales lead to diminished bank monitoring that affects borrowers negatively (moral hazard). We propose regulatory restrictions on loan sales, increased disclosure, and a loan trading exchange/clearinghouse as mechanisms to alleviate these problems.     

Premium and reinsurance control of an ordinary insurance system with liabilities driven by a fractional Brownian motion

This paper investigates the problem of premium and reinsurance control of an ordinary insurance system when liabilities are driven by a fractional Brownian motion. The reserve equation is considered using two alternative routes: the first with no reinsurance option, and the second with some controllable proportional reinsurance coverage. Recent results from the theory of fractional linear-quadratic control (fractional calculus) are discussed, partially extended and utilized to derive compact analytical formulae for the optimal functionals of the safety loading (consequently for the respective premium rate), and the volume of the retained risk (or equivalently, for the proportion of the reinsurance coverage).     

Fair valuation of insurance liabilities via mean-variance hedging in a multi-period setting

A general class of fair valuations which are both market-consistent (mark-to-market for any hedgeable part of a claim) and actuarial (mark-to-model for any claim that is independent of financial market evolutions) was introduced in Dhaene et al. [Insurance: Mathematics & Economics, 76, 14–27 (2017)] in a single period framework. In particular, the authors considered mean-variance hedge-based (MVHB) valuations where fair valuations of insurance liabilities are expressed in terms of mean-variance hedges and actuarial valuations. In this paper, we generalize this MVHB approach to a multi-period dynamic investment setting. We show that the classes of fair valuations and MVHB valuations are equivalent in this generalized setting. We derive tractable formulas for the fair valuation of equity-linked contracts and show how the actuarial part of their MVHB valuation decomposes into a diversifiable and a non-diversifiable component.