Reserves and cash flows under stochastic retirement

Uncertain time of retirement and uncertain structure of retirement benefits are risk factors for life insurance companies. Nevertheless, classical life insurance models assume these are deterministic. In this paper, we include the risk from stochastic time of retirement and stochastic benefit structure in a classical finite-state Markov model for a life insurance contract. We include discontinuities in the distribution of the retirement time. First, we derive formulas for appropriate scaling of the benefits according to the time of retirement and discuss the link between the scaling and the guarantees provided. Stochastic retirement creates a need to rethink the construction of disability products for high ages and ways to handle this are discussed. We show how to calculate market reserves and how to use modified transition probabilities to calculate expected cash flows without significantly more complexity than in the traditional model. At last, we demonstrate the impact of stochastic retirement on market reserves and expected cash flow in numerical examples.     

Pricing vulnerable options with correlated jump-diffusion processes depending on various states of the economy

In this paper, we use a Markov-modulated regime switching approach to model various states of the economy, and study the pricing of vulnerable European options when the dynamics of the underlying asset value and the asset value of the counterparty follow two correlated jump-diffusion processes under regime switching. The correlation is modelled by both the diffusion parts and the pure jump parts which describe the uncertainty of the value of the risky assets. We develop a method to determine an equivalent martingale measure and a parsimonious representation of the risk-neutral density is provided. Based on this, we derive an analytical pricing formula for vulnerable options via two-dimensional Laplace transforms, and implement the formula through numerical Laplace inversion.     

‘Gay Enclaves Face Prospect of Being PassÉ': How Assimilation Affects the Spatial Expressions of Sexuality in the United States

Journalists, activists and academics alike predict that gay neighborhoods in the United States will disappear, yet many of their claims are unsubstantiated or overly determined by economic factors. This article examines 40 years of media accounts to identify the mechanisms that explain why these urban areas are changing. I begin with the observation that the rate of assimilation of sexual minorities into mainstream society has accelerated in today's so‐called ‘post‐gay' era. Assimilation expands the residential imagination of gays and lesbians beyond the boundaries of a specific neighborhood to the entire city itself. Furthermore, as sexual orientation recedes in centrality in everyday life, residents opine that few care if a person self‐identifies as gay or straight. These two respective mechanisms of expansion and cultural sameness bring existing economic wisdom into dialogue with a cultural and political perspective about how our shifting understandings of sexuality also affect the decisions we make about where to live and socialize.     

BLACK–SCHOLES REPRESENTATION FOR ASIAN OPTIONS

Asian options are securities with a payoff that depends on the average of the underlying stock price over a certain time interval. We identify three natural assets that appear in pricing of the Asian options, namely a stock S, a zero coupon bond B^T with maturity T, and an abstract asset A (an “average asset”) that pays off a weighted average of the stock price number of units of a dollar at time T. It turns out that each of these assets has its own martingale measure, allowing us to obtain Black–Scholes type formulas for the fixed strike and the floating strike Asian options. The model independent formulas are analogous to the Black–Scholes formula for the plain vanilla options; they are expressed in terms of probabilities under the corresponding martingale measures that the Asian option will end up in the money. Computation of these probabilities is relevant for hedging. In contrast to the plain vanilla options, the probabilities for the Asian options do not admit a simple closed form solution. However, we show that it is possible to obtain the numerical values in the geometric Brownian motion model efficiently, either by solving a partial differential equation numerically, or by computing the Laplace transform. Models with stochastic volatility or pure jump models can be also priced within the Black–Scholes framework for the Asian options.     

An analytical approximation formula for European option pricing under a new stochastic volatility model with regime-switching

In this paper, an analytical approximation formula for pricing European options is obtained under a newly proposed hybrid model with the volatility of volatility in the Heston model following a Markov chain, the adoption of which is motivated by the empirical evidence of the existence of regime-switching in real markets. We first derive the coupled PDE (partial differential equation) system that governs the European option price, which is solved with the perturbation method. It should be noted that the newly derived formula is fast and easy to implement with only normal distribution function involved, and numerical experiments confirm that our formula could provide quite accurate option prices, especially for relatively short-tenor ones. Finally, empirical studies are carried out to show the superiority of our model based on S&P 500 returns and options with the time to expiry less than one month.     

Portfolio constraints,differences in beliefs and bubbles

I propose an arbitrage-based theory of bubbles in economies with general portfolio constraints and differences in beliefs. I find that, in general, bubbles cannot exist unless the constraints restrict the demand for credit sufficiently to induce low interest rates. Speculation due to heterogeneous beliefs does not cause bubbles. Ruling out bubbles under asymmetric information requires stronger assumptions: the presence of some uninformed agents and mild portfolio restrictions (debt or borrowing constraints), or alternatively, the existence of some impatient and fully informed agents.     

Asian option pricing with orthogonal polynomials

In this paper we derive a series expansion for the price of a continuously sampled arithmetic Asian option in the Black–Scholes setting. The expansion is based on polynomials that are orthogonal with respect to the log-normal distribution. All terms in the series are fully explicit and no numerical integration nor any special functions are involved. We provide sufficient conditions to guarantee convergence of the series. The moment indeterminacy of the log-normal distribution introduces an asymptotic bias in the series, however we show numerically that the bias can safely be ignored in practice.     

Masculinity,Testosterone, and Financial Misreporting

We examine the relation between a measure of male CEOs’ facial masculinity and financial misreporting. Facial masculinity is associated with a complex of masculine behaviors (including aggression, egocentrism, riskseeking, and maintenance of social status) in males. One possible mechanism for this relation is that the hormone testosterone influences both behavior and the development of the face shape. We document a positive association between CEO facial masculinity and various misreporting proxies in a broad sample of S&P1500 firms during 1996–2010. We complement this evidence by documenting that a CEO's facial masculinity predicts his firm's likelihood of being subject to an SEC enforcement action. We also show that an executive's facial masculinity is associated with the likelihood of the SEC naming him as a perpetrator. We find that facial masculinity is not a measure of overconfidence. Finally, we demonstrate that facial masculinity also predicts the incidence of insider trading and option backdating.     

What Drives Executive Stock Option Backdating?

We study motives for executive stock option backdating, the practice of changing the grant dates of current options to dates in the past using hindsight. We find that smaller, younger and less profitable firms tend to be more heavily involved in backdating. These results are consistent with the retention hypothesis. In line with the incentive hypothesis, we find that backdating occurs more for options that are out‐of‐the‐money. We derive some evidence for the agency hypothesis, in the sense that backdating companies have a larger percentage of inside directors. However, contrary to this hypothesis, we conclude that backdating firms have better protection for minority shareholders compared to firms that do not backdate.