The efficient hedging problem for American options

In this paper, we prove the existence of efficient partial hedging strategies for a trader unable to commit the initial minimal amount of money needed to implement a hedging strategy for an American option. The attitude towards the shortfall is modeled in terms of a decreasing and convex risk functional satisfying a lower semicontinuity property with respect to the Fatou convergence of stochastic processes. Some relevant examples of risk functionals are analyzed. Numerical computations in a discrete-time market model are provided. In a Lévy market, an approximating solution is given assuming discrete-time trading.     

How well do investors understand loss persistence?

This paper examines investors’ expectations of loss persistence. I develop a model to forecast loss firms’ future earnings based on Joos and Plesko, The Accounting Review 80: 847–870, (2005). This model produces smaller forecast errors than two random walk models and a model that assumes losses are transitory. The results suggest that investors do not fully distinguish the differences in loss persistence captured by the model and instead appear to assume that all losses are transitory. Consequently, investors are surprised by future announcements of negative earnings for firms with predicted persistent losses, and these firms experience significantly negative abnormal returns over the following four quarters. Additional results indicate that the future negative returns of firms with predicted persistent losses are smaller in magnitude when these firms are followed by analysts. The results are robust to controls for various price anomalies and are not driven by short sale constraints.     

Temporary immigration visas

This paper deals with recent proposals concerning temporary immigration visas as a means to combat the problem of illegal immigration. We set up a simple two-period model of international migration between a poor South and a rich North with temporary visas issued for one period. Because of capital market imperfections, immigrants from the South face additional capital costs when financing the visa fee. In this model, we find that temporary visas can improve welfare in the North if capital costs of the immigrants are sufficiently low. For high capital costs, however, a welfare reduction cannot be ruled out. We extend the model to the case of heterogeneous immigrants and asymmetric information. In this setting, we show that the government in the North may have an incentive to issue temporary visas for those with low capital costs and to tolerate illegal immigration of the others.     

Arbitrage Free Price Bounds for Property Derivatives

Market frictions inhibit the perfect replication of property derivatives, and define the property spread as a price measure in the incomplete real estate market. We identify transaction costs, transaction time, and short sale constraints as the main frictions in this market. Based on these frictions, we set up a framework of arbitrage free price bounds for property derivatives. In turn, we use observed derivative prices to determine the implied cost of the frictions. Lastly, we verify these values by using other research, which confirms the accuracy of our framework.     

Relative accuracy of analysts’ earnings forecasts over time: a Markov chain analysis

The main purpose of this paper is to analyze the time patterns of individual analysts’ relative accuracy ranking in earnings forecasts using a Markov chain model. Two levels of stochastic persistence are found in analysts’ relative accuracy over time. Factors underlying analysts’ performance persistence are identified and they include analyst’s length of experience, workload, and the size and growth rate of firms followed by the analyst. The strength and the composition of these factors are found to vary markedly in different industries. The findings support the general notion that analysts are heterogeneous in their accuracy in earnings forecasts and that their superior/inferior performance tends to persist over time. An analysis based on a refined measure of analysts’ forecast accuracy ranking that strips off firm-specific factors further enhances the empirical validity of the findings. These findings provide a concrete basis for researchers to further explore why and how analysts perform differently in the competitive market of investment information services.     

Do financial variables help predict the state of the business cycle in small open economies? Evidence from Switzerland

We analyze the forecasting ability of financial variables to predict the state of the Swiss business cycle up to eight quarters ahead. Overall, our results suggest that financial variables convey leading information for the prediction of business cycles, even when applied to a small open economy. However, we clearly find that model specifications need to be extended to include variables accounting for external shocks, such as exchange rates or international commodity prices. It also appears that the forecasting contribution of individual variables changes over time. Specifically, in the last two decades, stock market liquidity has replaced the term spread as the best single predictor.     

Smooth investment

In the classical portfolio optimization problem considered by Merton, the resulting constant proportion investment plan requires a diffusive trading strategy. This means that, within any arbitrarily small time interval, the investor must impractically both buy and sell stocks. We study the problems of a mean-square and a power utility investor for whom the trading strategy is constrained to be smooth, i.e. nondiffusive. This means that over sufficiently small time intervals, the investor is either a seller or a buyer of stocks. The mathematical framework is built around quadratic objectives such that trading activity is punished quadratically. Mean-square utility is quadratic, and power utility is covered by quadratic punishment of distance to Merton’s power utility portfolio. We present semi-explicit solutions and, in a series of numerical illustrations, show the impact of trading constraints on the portfolio decision over the investment horizon.     

Pricing Foreign Exchange Options Under Intervention by Absorption Modeling

We consider option pricing for a foreign exchange (FX) rate where interventions by an authority may take place when the rate approaches to a certain level at the down side. We formulate the forward FX model by a diffusion process which is stopped by a hitting time of an absorption boundary. Moreover, for a deterministic volatility case with a moving absorption whose level is described by an ordinary differential equation, we obtain closed-form formulas for prices of a European put option and a digital option, and Greeks of the put option. Furthermore, we show an extension of the pricing formula to the case where the intervention level is unknown. In numerical examples, we show option prices for different strikes for the absorption model and the extended model. We compare the model prices with the market prices for EURCHF options traded before January 2015 with the absorption model, and also show experiments of the extended model as an application to the pricing under uncertain views on the intervention.     

Central Bank Intervention in USD/INR Market: Estimating Its Reaction Function and Impact on Volatility

Econometric evidence on why central banks intervene in the foreign exchange market and the impact of such intervention has remained inconclusive. We contribute to the literature with evidence from India, a managed float regime that sees consistent monitoring and intervention by Reserve Bank of India, India’s central bank. Estimation of the central bank reaction function shows that increased volatility in the foreign exchange market and misalignment from targeted rates are important objectives behind intervention. The paper further uses the GARCH framework to study how intervention influences exchange rate volatility. We find that intervention in the spot market increases volatility while that in the forward market reduces volatility.