A new look at the forward premium “puzzle”

We decompose the spot and forward rates into (permanent) nonlinear trend components and (transitory) stationary components. We examine the unbiasedness of the permanent (transitory) component of the forward rate in predicting the permanent (transitory) component of its corresponding future spot rate. The transitory component of the future spot rate under reacts to the transitory component of the forward rate. However, the permanent component of the forward rate is an unbiased predictor of the permanent component of the future spot rate. A robust nonlinear cotrending relation is also found between the forward and future spot rates and the hypothesis of the forward‐rate unbiasedness is sustained in the long run. These results suggest that the forward rate better explains the long‐term behavior of the future spot rate. Simulation analysis shows that if the transitory component of the forward rate fully predicts the transitory component of the future spot rate, the forward premium puzzle disappears. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:599–628, 2011     

Too many options? Theory and evidence on option exchange design

A model of option exchange design is proposed and tested. The model allows investors to choose among several exchange‐traded options based on a trade‐off between standardization costs and liquidity/transaction costs. It employs a spatial economics approach to provide results for the existence of markets for particular option contracts on the exchange, a comparison of exchange design by a social planner and a profit‐maximizing monopolist (corresponding to the idea that most derivatives exchanges centralize the design and creation of option contracts), and comparative statics that can potentially aid decision makers in the design of option exchanges. In the empirical work, open interest is analyzed for Chicago Board Options Exchange (CBOE) options on the stocks in the S&P 100 index. In accordance with the model's predictions, open interest forms a previously undocumented seesaw pattern across strike prices, clustering around certain strike prices, and dropping off for the adjacent strike prices. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:533–570, 2006     

Currency barrier option pricing with mean reversion

This article develops a barrier option pricing model in which the exchange rate follows a mean‐reverting lognormal process. The corresponding closed‐form solutions for the barrier options with time‐dependent barriers are derived. The numerical results show that barrier option values and the corresponding hedge parameters under the proposed model are different from those based on the Black‐Scholes model. For an up‐and‐out call, the mean‐reverting process keeps the exchange rate in a small range around the mean level. When the mean level is below the barrier but above the strike price, the risk of the call to be knocked out is reduced and its option value is enhanced compared with the value under the Black‐Scholes model. The parameters of the mean‐reverting lognormal process therefore have a material impact on the valuation of currency barrier options and their hedge parameters. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:939–958, 2006     

Risk premiums and predictive ability of BAX futures

This study provides an in‐depth analysis of risk premiums in the Canadian Bankers' Acceptances futures (BAX) market. The predictive regressions for excess and holding‐period returns on BAX futures lend empirical support to the presence of time‐varying risk premiums especially at longer horizons. Despite the evidence of time variation in the risk premium, however, the unbiasedness of the basis as a predictor of spot returns in forecast efficiency regressions cannot be rejected. The out‐of‐sample forecasts of spot returns demonstrate the excellent predictive ability of models that exploit the restrictions implied by the unbiasedness hypothesis. Overall, our findings support the presence of a slowly moving risk premium and entail important practical implications for measuring monetary policy expectations and portfolio allocation. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark     

VIX futures

VIX futures are exchange‐traded contracts on a future volatility index (VIX) level derived from a basket of S&P 500 (SPX) stock index options. The authors posit a stochastic variance model of VIX time evolution, and develop an expression for VIX futures. Free parameters are estimated from market data over the past few years. It is found that the model with parameters estimated from the whole period from 1990 to 2005 overprices the futures contracts by 16–44%. But the discrepancy is dramatically reduced to 2–12% if the parameters are estimated from the most recent one‐year period. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:521–531, 2006     

Pricing American exchange options in a jump‐diffusion model

A way to estimate the value of an American exchange option when the underlying assets follow jump‐diffusion processes is presented. The estimate is based on combining a European exchange option and a Bermudan exchange option with two exercise dates by using Richardson extrapolation as proposed by R. Geske and H. Johnson (1984). Closed‐form solutions for the values of European and Bermudan exchange options are derived. Several numerical examples are presented, illustrating that the early exercise feature may have a significant economic value. The results presented should have potential for pricing over‐the‐counter options and in particular for pricing real options. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:257–273, 2007     

Pricing and hedging of quanto range accrual notes under Gaussian HJM with cross‐currency Levy processes

This study analyzes the pricing and hedging problems for quanto range accrual notes (RANs) under the Heath‐Jarrow‐Morton (HJM) framework with Levy processes for instantaneous domestic and foreign forward interest rates. We consider the effects of jump risk on both interest rates and exchange rates in the pricing of the notes. We first derive the pricing formula for quanto double interest rate digital options and quanto contingent payoff options; then we apply the method proposed by Turnbull (Journal of Derivatives, 1995, 3, 92–101) to replicate the quanto RAN by a combination of the quanto double interest rate digital options and the quanto contingent payoff options. Using the pricing formulas derived in this study, we obtain the hedging position for each issue of quanto RANs. In addition, by simulation and assuming the jump risk to follow a compound Poisson process, we further analyze the effects of jump risk and exchange rate risk on the coupons receivable in holding a RAN. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:973–998, 2009     

A Closer Look at Barrier Exchange Options

A barrier exchange option is an exchange option that is knocked out the first time the prices of two underlying assets become equal. Lindset, S., & Persson, S.‐A. (2006) present a simple dynamic replication argument to show that, in the absence of arbitrage, the current value of the barrier exchange option is equal to the difference in the current prices of the underlying assets and that this pricing formula applies irrespective of whether the option is European or American. In this study, we take a closer look at barrier exchange options and show, despite the simplicity of the pricing formula presented by Lindset, S., & Persson, S.‐A. (2006), that the barrier exchange option in fact involves a surprising array of key concepts associated with the pricing of derivative securities including: put–call parity, barrier in–out parity, static vs. dynamic replication, martingale pricing, continuous vs. discontinuous price processes, and numeraires. We provide valuable intuition behind the pricing formula which explains its apparent simplicity. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 33:29–43, 2013     

Option bid‐ask spread and scalping risk: Evidence from a covered warrants market

This study develops and empirically tests a simple market microstructure model to capture the main determinants of option bid‐ask spread. The model is based on option market making costs (initial hedging, rebalancing, and order processing costs), and incorporates a reservation bid‐ask spread that option market makers apply to protect themselves from scalpers. The model is tested on a sample of covered warrants, which are optionlike securities issued by banks, traded on the Italian Stock Exchange. The empirical analysis validates the model. The initial cost of setting up a delta neutral portfolio has been found to be an important determinant of option bid‐ask spread, as well as rebalancing costs to keep the portfolio delta neutral. This result provides evidence of a further link between options and underlying assets: the spread of the option is positively related to the spread of its underlying asset. Empirical evidence also indicates that the reservation bid‐ask spread, computed as the product of option delta and underlying asset tick, plays a very important role in explaining the bid‐ask spread of options. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:843–867, 2006     

Market efficiency among futures with different maturities: Evidence from the crude oil futures market

Although many studies have investigated market efficiency of spot and futures prices, that among futures with different maturities has not been studied extensively. In this study, market efficiency and unbiasedness among such futures are defined and the concept of “consistently efficient (or consistently efficient and unbiased) market within n‐month maturity” is introduced. According to this definition, market efficiency and unbiasedness among WTI futures with different maturities are tested using cointegration analysis, and short‐term market efficiency, using an error correction model and GARCH‐M‐ECM. The results show that WTI futures are consistently efficient within 8‐month maturity and consistently efficient and unbiased within 2‐month maturity. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:487–501, 2011     

The interrelation of price volatility and trading volume of currency options

This article examines the interrelations between future volatility of the U.S. dollar/British pound exchange rate and trading volume of currency options for the British pound. The future volatility of the exchange rate is approximated alternatively by implied volatility and by IGARCH volatility. The results suggest the presence of strong contemporaneous positive feedbacks between the exchange rate volatility and the trading volume of call and put options. Previous option volumes have significant predictive power with respect to the expected future volatility of the dollar/pound exchange rate. Similarly, lagged volatilities jointly have significant predictive power for option volume. Although option volume (volatility) responds somewhat differently to individual volatility (volume) terms under the two volatility measures, the overall volume‐volatility relations are broadly similar between the implied and IGARCH volatilities. The results generally support the hypothesis that the information‐based trading explains more of the trading volume in currency options on the U.S. dollar/British pound exchange rate than hedging. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:681–700, 2003     

Exchange rate policies in Asia in an era of financial globalisation: An empirical assessment

Ebbs and flows of capital have complicated macroeconomic policy management for all emerging market and developing economies (EMDEs) regardless of whether they have adopted flexible or managed exchange rate regimes. In the light of the renewed interest in the trilemma versus dilemma debate, we contribute to the related literature by presenting an empirical analysis of exchange rate flexibility and intervention for selected Asian EMDEs over the time period 2001–2016. In addition to estimating augmented Frankel–Wei regressions, we employ a generalised auto‐regressive conditional heteroscedasticity (GARCH) model to assess the extent of foreign exchange (FX) intervention and whether there exist any asymmetries in the way countries intervene. Our results show that although there is greater flexibility in exchange rates, there is evidence of some countries potentially using FX intervention to manage currency movements. We also find evidence of asymmetry in intervention where exchange rate volatility responds more emphatically to FX sales than purchases.     

Examining the Return–Volatility Relation for Foreign Exchange: Evidence from the Euro VIX

We compare the return–volatility relation for the euro currency to the equivalent relation for the equity market, examining the sign, symmetry, and strength of the relation. We employ the euro‐currency exchange‐traded fund (FXE) and its associated option implied volatility index (the EVZ), whereas previous studies only employ equities and/or realized volatility. The equity studies find a negative asymmetric return–volatility relation for implied volatility, with a strong relation when large market movements occur. We find that the euro return–volatility relation can possess either a positive or negative sign, is asymmetric, and has a weaker relation. Thus, the sign and strength of the euro relation differs from the equivalent equity relation. Our quantile regressions show that both the positive and negative contemporaneous returns of the euro result in increased volatility in the extreme quantiles of the conditional distribution, with the contemporaneous effect showing a stronger relation when the euro depreciates. We also find that the volume of the euro‐currency ETF options affects the return–volatility relation for the euro ETF. Overall, the results here expand the concept originally restricted to equities, with the surprising results that the return‐implied volatility relation is weaker and the asymmetric return sometimes is positive for the euro currency. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark 34:74–92, 2014     

The pricing of foreign currency options under jump‐diffusion processes

In this article, the authors derive explicit formulas for European foreign exchange (FX) call and put option values when the exchange rate dynamics are governed by jump‐diffusion processes. The authors use a simple general equilibrium international asset pricing model with continuous trading and frictionless international capital markets. The domestic and foreign price level are introduced as state variables that contain jumps caused by monetary shocks and catastrophic events such as 9/11 or Hurricane Katrina. The domestic and foreign interest rates are stochastic and endogenously determined in the model and are shown to be critically affected by the jump risk of the foreign exchange. The model shows that the behavior of FX options is affected through the impact of state variables and parameters on the nominal interest rates. The model contrasts with those of M. Garman and S. Kohlhagen (1983) and O. Grabbe (1983), whose models have exogenously determined interest rates. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:669–695, 2007     

International website disclosure of codes of ethics: auditor‐specific and stock‐exchange‐listing differences

This research examines whether having a readily available code of ethics on a corporation's website associates with either their auditor or stock exchange listing. As such, it is the first research that studies the association among readily available codes of ethics, client auditor and stock exchange listing on a longitudinal basis. In our data gathering, we went to the website of each corporation and searched for a readily available disclosure of its code of ethics at the beginning of April 2006 through April 2009 – third‐through‐sixth anniversaries of the Sarbanes–Oxley Act. Our data indicate that the average readily available rate of codes of ethics for Ernst and Young's clients was significantly lower than the average readily available rate for the clients of Deloitte and Touche in 2006 and 2007 and PricewaterhouseCoopers in 2007. However, our data indicate no differences among the Big Four firms in 2008 and 2009. Our data indicate that the average readily available rates for the clients listed on the New York Stock Exchange (NYSE) were significantly higher than for clients that were not listed on the NYSE for all four observation points (2006–2009).     

AS‐AD REVISITED: OVERSHOOTING ADJUSTMENT DYNAMICS UNDER NAÏVE EXPECTATIONS

We analyse the adjustment dynamics from a short‐term to a medium‐term equilibrium in a standard AS‐AD model à la Blanchard (2006, Macroeconomics, 4th edn, Prentice‐Hall, Upper Saddle River, NJ) for an open economy with fixed and flexible exchange rates. An explicit analysis suggests the local stability of the medium‐term equilibrium. However, an overshooting adjustment dynamics is possible for the exchange rate, a result that directly relates to the famous Dornbusch (1976, Journal of Political Economy, 84, pp. 1161–1176) analysis. In contrast to the latter, in the Blanchard framework it is obtained without assuming rational expectations and without relying upon saddle‐path stability.     

Central Bank Intervention,Exchange Rate Regime and the Purchasing Power Parity

Motivated by the argument that central bank intervention leads to non‐linear exchange rate adjustment processes, we examine purchase power parity (PPP) by applying quantile unit root tests to the exchange rates of the New Taiwan Dollar (NTD) vis‐à‐vis seven Asian currencies. We show that exchange rate regime matters in determining whether PPP holds. While PPP holds overwhelmingly during the period when the NTD is under the fixed exchange rate regime, it is present only for some exchange rates during the managed floating rate regime. For exchange rates exhibiting mean reversion, the reversion occurs mainly when the shocks are large. In contrast to conclusion in the literature, our test results show little evidence of asymmetric mean reversion between positive and negative shocks.     

A random walk down the options market

Under the efficient market hypothesis, option‐implied forward variance forms a martingale and changes in forward variance follow a random walk. In this study, we extract forward variance from option prices following a model‐free approach and empirically test the random walk hypothesis. Although results from standard orthogonality tests support the martingale restriction, further results from autoregressive regressions seem to reject the martingale restriction as daily changes in forward variance are found to exhibit negative autocorrelation. However, this anomalous pattern of negative correlation is fully explained by illiquidity effects. Overall, the findings support the random walk hypothesis and informational efficiency of the options market. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 32:505–535, 2012     

Lower‐boundary violations and market efficiency: Evidence from the German DAX‐index options market

The informational efficiency of the market for options on the German stock index DAX is examined using intraday transactions data. Problems of previous studies on options‐market efficiency, arising from dividend estimation and the early‐exercise effect, are avoided, because the DAX is a performance index and DAX options are European options. Ex‐post and ex‐ante tests are carried out to simulate trading strategies that exploit irrational lower‐boundary violations of observed option prices. Because the lower‐boundary conditions are solely based on arbitrage considerations, the test results do not depend on the assumption that investors use a particular option‐pricing model. The investigation shows that ex‐post profits are, in general, dramatically reduced when the execution of arbitrage strategies is delayed and/or transaction costs are accounted for. However, arbitrage restrictions, which rely on short selling of the component stocks of the index, tend to be violated more often and with higher persistence. An analysis of consecutive subsamples suggests that, over time, traders have been subjected to a learning process when pricing this relatively new instrument. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 405–424, 2000     

Market Excess Returns,Variance and the Third Cumulant

In this paper, we develop an equilibrium asset pricing model for market excess returns, variance and the third cumulant by using a jump‐diffusion process with stochastic variance and jump intensity in Cox et al. (1985) production economy. Empirical evidence with the S&P 500 index and options from January, 1996 to December, 2005 strongly supports our model prediction that the lower the third cumulant, the higher the market excess returns. Consistent with existing literature, the theoretical mean–variance relation is supported only by regressions on risk‐neutral variance. We further demonstrate empirically that the third cumulant explains significantly the variance risk premium.