The mortality among Norwegian assured lives 1925–1935

Abstract

The most important work the Statistical Bureau of the Norwegian Life Assurance Companies has to do, is the periodical investigations of the mortality among the different groups of the companies policyholders.     

Modeling severity risk under PD–LGD correlation

In this article, a generic severity risk framework in which loss given default (LGD) is dependent upon probability of default (PD) in an intuitive manner is developed. By modeling the conditional mean of LGD as a function of PD, which also varies with systemic risk factors, this model allows an arbitrary functional relationship between PD and LGD. Based on this framework, several specifications of stochastic LGD are proposed with detailed calibration methods. By combining these models with an extension of CreditRisk+, a versatile mixed Poisson credit risk model that is capable of handling both risk factor correlation and PD–LGD dependency is developed. An efficient simulation algorithm based on importance sampling is also introduced for risk calculation. Empirical studies suggest that ignoring or incorrectly specifying severity risk can significantly underestimate credit risk and a properly defined severity risk model is critical for credit risk measurement as well as downturn LGD estimation.     

A proposition of generalized stochastic Milevsky–Promislov mortality models

The aim of this article is to propose a new approach to the estimation of the mortality rates based on two extended Milevsky and Promislov models: the first one with colored excitations modeled by Gaussian linear filters and the second one with excitations modeled by a continuous non-Gaussian process. The exact analytical formulas for theoretical mortality rates based on Gaussian linear scalar filter models have been derived. The theoretical values obtained in both cases were compared with theoretical mortality rates based on a classical Lee–Carter model, and verified on the basis of empirical Polish mortality data. The obtained results confirm the usefulness of the switched model based on the continuous non-Gaussian process for modeling mortality rates.     

The mortality among industrial insured lives in Norway 1931–1940

Abstract

Industrial insurance was introduced in Norway in 1903 by The Norwegian Life Insurance Company FRAM which was alone in this branch of life insurance activity until 1918, when The Life Insurance Company Norske Folk adopted industrial insurance also. Later on other companies too have started industrial insurance, but Fram is still by far the largest industrial insurance company in Norway, and to-day works with industrial insurance with weekly, monthly and daily premiums (calendarpremium).     

On a renewal risk process with dependence under a Farlie–Gumbel–Morgenstern copula

In this article, we consider an extension to the renewal or Sparre Andersen risk process by introducing a dependence structure between the claim sizes and the interclaim times through a Farlie–Gumbel–Morgenstern copula proposed by Cossette et al. (2010) for the classical compound Poisson risk model. We consider that the inter-arrival times follow the Erlang(n) distribution. By studying the roots of the generalised Lundberg equation, the Laplace transform (LT) of the expected discounted penalty function is derived and a detailed analysis of the Gerber–Shiu function is given when the initial surplus is zero. It is proved that this function satisfies a defective renewal equation and its solution is given through the compound geometric tail representation of the LT of the time to ruin. Explicit expressions for the discounted joint and marginal distribution functions of the surplus prior to the time of ruin and the deficit at the time of ruin are derived. Finally, for exponential claim sizes explicit expressions and numerical examples for the ruin probability and the LT of the time to ruin are given.     

Contingent capital conversion under dual asset and equity jump–diffusions

We model contingent capital with market trigger under dual jump–diffusion processes in asset values and equity prices. Under the dual jump–diffusions, we show that the conversion ratio is no longer deterministic under the jump–diffusion. The conversion ratio becomes a stochastic process related to the jump process of the underlying equity and the conditional expectation of the contingent capital at the conversion time. Thus, making the implementation of contingent capital impossible. The best we can hope to practically implement this conversion design, is to give the minimal conversion ratio (at least the portion required to convert) to conform with Basel III.     

Modeling of group-specific mortality in China using a modified Lee–Carter model

The paper assesses sex-age-specific mortality rates of the four groups of people in China, the country, cities, towns, and counties, based on the mortality data from the China Population Statistics Yearbooks (1988–2009) using a newly proposed modified Lee–Carter model. The results show that in general, the expected age-specific mortality rates decrease over the years, and the decreasing speed increased in the past decade. During 2000–2008, the expected mortality rates decreased over the years for females of all ages and groups and males in cities, remained with no changes for males ages 13–36 in the country and towns, but increased for males ages 13–43 in counties. Predictions for 2009 are made based on the 2000–2008 data, and comparisons to the observed rates from an annual survey show that they match each other well except for males ages 13–43 in counties, whose mortality rates reached record highs around 2005, and bounced back to the level of 2000 in 2008 and was reduced a little further in 2009, benefiting from the promulgations and enforcements of some safety regulations by the government on construction and mining sites where most labors are from counties. The predicted age-specific mortality rates from the model are compared to the assumed rates in the China Life Insurance Mortality Table (2000–2003) promulgated by the China Insurance Regulatory Commission, and they show a great deal of similarity in terms of changing trends over the ages.     

Pricing discrete path-dependent options under a double exponential jump–diffusion model

We provide methodologies to price discretely monitored exotic options when the underlying evolves according to a double exponential jump diffusion process. We show that discrete barrier or lookback options can be approximately priced by their continuous counterparts’ pricing formulae with a simple continuity correction. The correction is justified theoretically via extending the corrected diffusion method of Siegmund (1985). We also discuss the jump effects on the performance of this continuity correction method. Numerical results show that this continuity correction performs very well especially when the proportion of jump volatility to total volatility is small. Therefore, our method is sufficiently of use for most of time.     

Non-implementability of Arrow–Debreu equilibria by continuous trading under volatility uncertainty

In diffusion models, a few suitably chosen financial securities allow to complete the market. As a consequence, the efficient allocations of static Arrow–Debreu equilibria can be attained in Radner equilibria by dynamic trading. We show that this celebrated result generically fails if there is Knightian uncertainty about volatility. A Radner equilibrium with the same efficient allocation as in an Arrow–Debreu equilibrium exists if and only if the discounted net trades of the equilibrium allocation display no ambiguity in the mean. This property is violated generically in endowments, and thus Arrow–Debreu equilibrium allocations are generically unattainable by dynamically trading a few long-lived assets.     

Barrier option pricing for exchange rates under the Levy–HJM processes

In this paper, we present closed-forms for the valuation of the barrier option whose underlying is exchange rate under the multi-dimensional Levy process, including stochastic interest rates and stochastic assets. Instantaneous forward interest rates are assumed under the Heath et al. [1992. Econometrica 60, 77–105] framework, and the analytic formulas of the exchange rate barrier option are obtained when the Levy process is restricted in a double exponential process.     

The bond–stock mix under time-varying interest rates and predictable stock returns

I investigate the allocation of wealth to cash, bonds, and stocks, along with the bond-to-stock ratio (BSR) when interest rates are time-varying and stock returns are predictable via the dividend-price ratio (DPR). The bond–stock mix and the BSR vary with the deviation of the current level of the DPR from its long-run mean and the correlations between all asset classes. The BSR may decrease over time, which contradicts both previously reported results on the matter as well as popular advice. Finally, I show that it is only at the investment horizon that the BSR is independent of risk aversion.     

Market uncertainty and disclosure of internal control deficiencies under the Sarbanes–Oxley Act

This study examines cross-sectional differences in stock market reactions to the disclosure of internal control deficiencies under Section 302 of the Sarbanes–Oxley Act. We hypothesize that the market punishment for internal control problems will be less severe for internal control disclosure that helps reduce market uncertainty around the disclosure. We also predict that such a relation is dependent on the types of disclosure and the market’s prior knowledge of the credibility of firms’ financial reporting. Consistent with our hypothesis, we find that when firms disclose their internal control deficiencies, their abnormal stock returns are negatively associated with changes in market uncertainty (e.g., changes in the standard deviations of daily stock returns) around the disclosure. We also find that the impact of the uncertainty reduction is greater for voluntary disclosures of non-material weakness, especially those made in the context of previous suspicious events. The negative impact of changes in market uncertainty on the abnormal stock returns remains intact even after controlling for possible simultaneity. An analysis using financial analysts’ earnings forecasts dispersion as an alternative proxy for uncertainty confirms the results.     

Revisiting the ICAPM under the distortion of risk–return tradeoff in short-horizon stock returns

We suggest that the distortion of the positive risk–return relation in the ICAPM is a consequence of trading by informed investors to exploit mispricing. We hypothesize and demonstrate that a non-positive (strongly positive) risk–return relation following positive (negative) market returns is attributed to short-selling (purchasing) of overpriced (underpriced) stocks along with optimistic (pessimistic) expectations conditional on good (bad) market news. We verify this asymmetry in the risk–return relation through the indirect risk–return relation conditional on good (bad) market news. We also find that the attenuation (reinforcement) of the positive risk–return relation is more profound in high- (low-) sentiment periods.     

Approximating functionals of local martingales under lack of uniqueness of the Black–Scholes PDE solution

When the underlying stock price is a strict local martingale process under an equivalent local martingale measure, the Black–Scholes PDE associated with a European option may have multiple solutions. In this paper, we study an approximation for the smallest hedging price of such an European option. Our results show that a class of rebate barrier options can be used for this approximation. Among them, a specific rebate option is also provided with a continuous rebate function, which corresponds to the unique classical solution of the associated parabolic PDE. Such a construction makes existing numerical PDE techniques applicable for its computation. An asymptotic convergence rate is also studied when the knock-out barrier moves to infinity under suitable conditions.     

The regulations–risk taking nexus under competitive pressure: What about the Islamic banking system?

Does market power condition the effect of bank regulations and supervision on bank risk taking? We focus on three regulatory tools: capital requirements, the restriction of activities, and official supervisory powers. Employing 10 years of unbalanced panel data on 123 Islamic and conventional banks operating in the Middle East and Asia, we arrive at the following conclusions. First, banking market power strengthens the negative impact of capital regulation on bank risk taking. Second, our empirical results suggest that the negative effect of activity restrictions on stability is diminished when banks have greater market power. Finally, we do not find strong evidence that the negative effect of supervisory power on banks’ risk taking is conditioned by their competitive behavior. In further analysis, we differentiate between Islamic and conventional banks regarding their competition, as well as their risk behavior. The results differ according to the banking business model. These findings could be useful for bank regulators in light of the accomplishment of Islamic banks’ regulatory framework. Indeed, the adoption of Basel III represents a significant regulatory challenge, given that it does not take into account the specificities of Islamic banks.     

Are French universities under control?

This article discusses the changes taking place in French universities resulting from France's move to New Public Management (NPM) principles in 2007. A new performance management system focusing on accountability and efficiency is currently under construction. However, the model is not yet entirely institutionalized, and resistance from various stakeholders is leading to some interesting adaptations.     

Management of Land Resource Put under Social Supervision

Recently the Ministry of Land Resources promised to the public that from March 1,2004, the executive affairs of the land resources management system will be open to the     

Firms’ innovation strategy under the shadow of analyst coverage

We study the effect of analyst coverage on firms’ innovation strategy and outcome. Using data of US firms from 1990 to 2012, we find evidence that an increase in financial analysts leads firms to cut research and development expenses, acquire more innovative firms, and invest in corporate venture capital. We attribute the first result to the effect of analyst pressure and the others to the informational role of analysts. We also find that financial analysts encourage firms to make more efficient investments related to innovation, which increases their future patents and citations and influences the novelty of their innovations.     

Is stochastic volatility relevant for dynamic portfolio choice under ambiguity?

Literature on dynamic portfolio choice has been finding that volatility risk has low impact on portfolio choice. For example, using long-run US data, Chacko and Viceira [2005. “Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets.” The Review of Financial Studies 18 (4): 1369–1402] found that intertemporal hedging demand (required by investors for protection against adverse changes in volatility) is empirically small even for highly risk-averse investors. We want to assess if this continues to be true in the presence of ambiguity. Adopting robust control and perturbation theory techniques, we study the problem of a long-horizon investor with recursive preferences that faces ambiguity about the stochastic processes that generate the investment opportunity set. We find that ambiguity impacts portfolio choice, with the relevant channel being the return process. Ambiguity about the volatility process is only relevant if, through a specific correlation structure, it also induces ambiguity about the return process. Using the same long-run US data, we find that ambiguity about the return process may be empirically relevant, much more than ambiguity about the volatility process. Anyway, intertemporal hedging demand is still very low: investors are essentially focused on the short-term risk–return characteristics of the risky asset.