Accuracy and Reliability Considerations of Option Pricing Algorithms

A wide variety of computational schemes have been proposed for the numerical valuation of various classes of options. Experiences in numerical computation have revealed that the details of the implementation of the auxiliary conditions in the numerical algorithms may have profound effects on numerical accuracy. Difficulties in designing algorithms that deal with the path‐dependent payoffs, monitoring features, etc., have been well reported in the literature. In this article, the theoretical issues on the assessment of numerical schemes with regard to accuracy of approximation of auxiliary conditions, rate of convergence, and oscillation phenomena are reviewed. In particular, the oscillation phenomena in bond‐price calculations and the intricacies in implementing the auxiliary conditions in barrier options, proportional step options, and lookback options are discussed. With different types of options and modes of monitoring (continuous or discrete), the optimal method of placing the lattice nodes with reference to the boundary (absorbing or reflecting) are examined in order to achieve linear temporal rate of convergence. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:875–903, 2001     

Evaluating Adaptive Policymaking using expert opinions

Adaptive Policymaking (APM) is a policymaking approach for dealing involving policy problems with deep uncertainty. Two barriers to getting APM used are that (1) there are few actual examples of adaptive policies developed by policymakers or domain experts, and (2) APM has rarely been used in a real-world policy setting. More specifically, there are questions that remain about the costs and benefits of APM, and the efficacy and performance of adaptive policies compared to traditional static policies. This paper addresses these questions and barriers by reporting on a workshop with experts that was aimed at developing an adaptive policy for the implementation of ISA in the Netherlands. We report on their evaluation of both the process of developing the policy and their assessment of the efficacy of the developed policy compared to that of the current policy under consideration by the Dutch national government. The experts indicated that APM increases the chances of reaching policy goals and makes better use of decision support information that is gathered during the policy analysis process. However, they also indicated that, despite these potential benefits of APM, it may be hard to implement adaptive policies due to institutional issues.     

Economic relations between China and the U.S

ABSTRACT

First, we summarise the chronology of the China-U.S. trade war. We then show that the China-U.S. trade surplus, correctly measured, is not as large as it is made out to be, but is nevertheless still a large number. In terms of the total domestic value-added generated by the exports of goods to each other, the China-U.S. bilateral gap is even smaller. Next, we analyse both the immediate and real impacts of the mutual tariffs on the two economies. Third, we discuss economic and technological competition between China and the U.S. and present long-term projections of the two economies to 2050. Fourth, we identify the economic complementarities between China and the U.S. We then discuss the possibility of coordinated expansion of trade. Fifth, we also discuss the thorny bilateral issues in the economic relations between the two countries.     

The Impacts of Financial Integration on the Linkages Between Monetary Independence and Foreign Exchange Reserves

This paper investigates the short-run and long-run effects of financial integration on the dynamics between monetary independence and foreign exchange reserves using a GMM system estimation involving two-year non-overlapping average data (2000-2011) from 114 countries. The results indicate that the effect of foreign exchange reserves on the monetary independence is intensified by the level of financial integration. This suggests a positive spill over effect from the financial integration to the monetary policy independence. Besides, a positive implication of financial integration on monetary independence could be established when the foreign exchange reserves is at the maximum level. In addition, the comparisons between the mean of foreign exchange reserves and the threshold levels of foreign exchange reserves that neutralise the impact of financial integration indicate that on average, the foreign exchange reserves are sufficient to offset the effect of financial integration. A stable exchange rate will undermine the positive impact of foreign exchange reserves on monetary independence. Finally, the long-run and short-run impacts occur in the same direction. This paper ends with some policy implications and suggestions for future research.     

Employment Discrimination Based on Sexual Orientation: A Hong Kong Study

Various parties have called on Hong Kong to pass legislation proscribing sexual orientation-based employment discrimination. The government has suggested that data on discrimination should inform debate on this matter. This survey of 792 self-identified sexual orientation minorities in Hong Kong examined (1) the prevalence of sexual orientation-based discrimination, (2) risk factors associated with experiencing discrimination, and (3) the relationship between experiencing employment discrimination and psychological outcomes. Nearly one-third of respondents reported discrimination. Rates of discrimination varied by age, education, and level of sexual orientation disclosure. Reports of discrimination were associated with negative psychological outcomes. This paper discusses how these results reinforce calls for legislative action. Limitations and directions for future research are also considered.     

Financial reporting of cash flow： Arbitrary items and management preferences

The international financial reporting standard for cash flow statement （IAS 7） provides options for the classification of certain cash flow items （arbitrary items）. Therefore, business firms may classify the arbitrary items using the option that would maximize their own interest. This reduces the comparability of financial statements amongst business firms. This study aims to investigate the factors explaining management preferences in the selection of financial reporting practices on the arbitrary cash flow items. It concludes that managers tend to magnify the CFO reported in order to maximize the shareholders＇ wealth, which in turn would maximize their compensation. Managers of business firms with a relatively smaller size of CFO tend to classify interest paid and dividends paid as non-CFO in order to magnify their CFO. They also tend to classify interest received as CFO in order to inflate their relatively smaller size of CFO up to expectation. Similarly, managers of business firms with a relative larger size of dividends paid would classify the dividends paid outside CFO.     

The Economic Effects of Potential EU Tariff Sanctions on Russia — A Sectoral Approach

Intereconomics - As part of its sanctions regime, the United States recently announced the imposition of punitive import tariffs on 570 product groups from Russia. The European Union may follow...     

Some cautions on the use of nonlinear panel unit root tests: Evidence from a modified series-specific non-linear panel unit-root test

The purpose of this paper is to examine the relevance of applying nonlinear panel unit root test to examine the non-linear mean reversion behaviors of real exchange rates. We find that nonlinear panel unit root test may achieve lower power performance as compared to its alternative of linear panel unit test when the data generating process does not contain significant non-linear components. This finding post cautions to researchers in modeling and testing real exchanges behavior. We also develop a modified series-specific nonlinear panel unit root test and find evidence in favor of purchasing power parity hypothesis for China's four ASEAN trading partners in the period of February 1997 to August 2009.     

Option hedging theory under transaction costs

The problem of option hedging in the presence of proportional transaction costs can be formulated as a singular stochastic control problem. Hodges and Neuberger [1989. Optimal replication of contingent claims under transactions costs. Review of Futures Markets 8, 222–239] introduced an approach that is based on maximization of the expected utility of terminal wealth. We develop a new algorithm to solve the corresponding singular stochastic control problem and introduce a new approach to option hedging which is closer in spirit to the pathwise replication of Black and Scholes [1973. The pricing of options and corporate liabilities. Journal of Political Economy 81, 637–654]. This new approach is based on minimization of a Black–Scholes-type measure of pathwise risk, defined in terms of a market delta, subject to an upper bound on the hedging cost. We provide an efficient backward induction algorithm for the problem of cost-constrained risk minimization, whose associated singular stochastic control problem is shown to be equivalent to an optimal stopping problem. This algorithm is then modified to solve the singular stochastic control problem associated with utility maximization, which cannot be reduced to an optimal stopping problem. We propose to choose an optimal parameter (risk-aversion coefficient or Lagrange multiplier) in either approach by minimizing the mean squared hedging error and demonstrate that with this “best” choice of the parameter, both approaches have similar performance. We also discuss the different notions of risk in both approaches and propose a volatility adjustment for the risk-minimization approach, which is analogous to that introduced by Zakamouline [2006. European option pricing and hedging with both fixed and proportional transaction costs. Journal of Economic Dynamics and Control 30, 1–25] for the utility maximization approach, thereby providing a unified treatment of both approaches.     

A note on the fundamental theorem of exact aggregation

If individual i's demands for a commodity are a function of prices, p, income M_i and a vector of attributes A_i, then aggregate demand is

This paper derives the necessary and sufficient conditions of f_i, F and a system of functions g_k(M₁,…,M_N,A₁,…,A_N) symmetric in the M's and A's such that F can be written in the form F(p, g, (M₁,…,M_n,A₁,…,A_N),…, g_n(M₁,…,M_n,A₁,… ,A_n)) for all values of its arguments.