Sub-Replication and Replenishing Premium: Efficient Pricing of Multi-State Lookbacks

The direct valuation procedure of performing discounted expectation to obtain the prices of multi-state lookback options may lead to insurmountable complexity and numerical difficulties. The computation may require numerical differentiation of the joint distribution function of the extremum values, then followed by numerical integration over a semi-infinite domain. In this paper, we illustrate the use of an alternative approach that significantly simplifies the calculations of multi-state lookback option prices. The financial intuition behind the new approach involves the choice of a sub-replicating portfolio and the adoption of the corresponding replenishing strategy to achieve the subsequent full replication of the derivative. The replenishing premium is obtained by performing the integration of an appropriate distribution function over the range of asset price within which under replication occurs. The sub-replication and replenishment procedures may be utilized as hedging strategies for the lookback options. The pricing and hedging properties of multi-state lookback options are also discussed. This revised version was published online in June 2006 with corrections to the Cover Date.     

CLOSED FORM PRICING FORMULAS FOR DISCRETELY SAMPLED GENERALIZED VARIANCE SWAPS

Most of the existing pricing models of variance derivative products assume continuous sampling of the realized variance processes, though actual contractual specifications compute the realized variance based on sampling at discrete times. We present a general analytic approach for pricing discretely sampled generalized variance swaps under the stochastic volatility models with simultaneous jumps in the asset price and variance processes. The resulting pricing formula of the gamma swap is in closed form while those of the corridor variance swaps and conditional variance swaps take the form of one‐dimensional Fourier integrals. We also verify through analytic calculations the convergence of the asymptotic limit of the pricing formulas of the discretely sampled generalized variance swaps under vanishing sampling interval to the analytic pricing formulas of the continuously sampled counterparts. The proposed methodology can be applied to any affine model and other higher moments swaps as well. We examine the exposure to convexity (volatility of variance) and skew (correlation between the equity returns and variance process) of these discretely sampled generalized variance swaps. We explore the impact on the fair strike prices of these exotic variance swaps with respect to different sets of parameter values, like varying sampling frequencies, jump intensity, and width of the monitoring corridor.     

Optimal interest rate rule in a DSGE model with housing market spillovers

This paper studies the optimal interest rate rule in a DSGE model with housing market spillovers (Iacoviello and Neri, 2010). We find that the optimal rule responds to house price inflation even when the stabilization of house price is not among the objectives of the policymaker, and that the strength of the response depends crucially on a few structural parameters.     

Optimal arbitrage strategies on stock index futures under position limits

Assuming the absence of market frictions, deterministic interest rates, and certainty in dividend payouts from the stocks in the index basket, an arbitrageur can lock in the profit of a positive (negative) arbitrage basis in a stock index futures by adopting a short (long) futures strategy. In addition, the arbitrageur may improve the arbitrage profit by adopting the so‐called early unwinding strategy of liquidating the position before maturity, or more aggressively from the long position directly to the short position or vice versa. In this study, we examine the optimal arbitrage strategies in stock index futures with position limits and transaction costs. In our analysis, the index arbitrage basis is assumed to follow the Brownian Bridge process. The model formulation of the option value functions leads to a coupled system of variational inequalities. We determine the values of the arbitrage opportunities and the optimal threshold values of the arbitrage basis at which the arbitrageur should optimally close an existing position or open a new index arbitrage position. In particular, we examine the impact of transaction costs on the index arbitrage strategies. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:394–406, 2011     

The Effects of Process and Content Facilitation Restrictiveness on GSS-Mediated Collaborative Learning

Group Support Systems (GSS) technology, extensively applied in decision-making contexts, is now seeing increased application in the educational sector. Previous work has suggested that GSS applications can have significant positive effects on both the process and the outcome of collaborative learning. This study extends this work to examine the effects of process (high/low) and content (high/low) facilitation restrictiveness on GSS-supported collaborative learning. Our results indicate that content facilitation restrictiveness has no significant bearing on student learning. Process facilitation restrictiveness, on the other hand, is more influential, with knowledge acquisition by students requiring a low restrictive environment.     

Cost structure and productivity growth of the Taiwanese international tourist hotels

This study investigates the cost structure and economic implications of the Taiwanese international tourist hotel industry. A multi-product translog cost function with three inputs and three outputs is estimated using seemingly unrelated regression estimation and three-stage least squares. A balanced panel dataset consisting of 47 international tourist hotels in Taiwan over the period 1997–2001 was obtained from Taiwanese Tourism Bureau and used to estimate the cost function. The results show that both scale and scope economies exist in the Taiwanese international tourist hotel industry. In addition, productivity growth is positive over the study period. Managerial and policy implications for the Taiwanese international tourist hotel industry are also discussed.     

Recursive preferences,learning and large deviations

We estimate the relative contribution of recursive preferences versus adaptive learning in accounting for the tail thickness of price–dividends/rents ratios. We find that both of these sources of volatility account for volatility in liquid (stocks) but not illiquid (housing) assets.     

The gains from trade revisited

This paper revisits the issue of whether countries gain more from trading with countries that are similar to themselves, or with countries that are different. A model based on relative endowment and technological differences across countries is developed. The main result is that a country may experience a region of increasing gains from trade as its trading partner becomes more similar to itself in terms of relative endowments. The model also predicts that for countries with sufficiently similar relative endowments, both factors of production may experience gains from trade.     

Output volatility of five crisis-affected East Asia economies

A decade has passed since the Asian financial crisis (AFC) in 1997, and attention is drawn to the output performance of the crisis-affected economies in East Asia. Using the Hodrick–Prescott (HP) filter, this paper examines the growth volatility of GDP, its components and the stock market of five East Asia economies of Japan, Singapore, South Korea, Chinese Taipei and Hong Kong Special Administrative Region (SAR). Empirical evidences based on quarterly data show that output volatility for both Singapore and South Korea has increased after the AFC. For the GDP components, trade is a major factor in lowering GDP volatility in Chinese Taipei. The Hong Kong SAR economy has experienced an increase/decrease in the volatility of investment/private consumption. Among the five East Asia economies, government intervention is obvious in Singapore. The stock markets in both Hong Kong SAR and Chinese Taipei showed stronger ability in absorbing shocks.