Consistent High-precision Volatility from High-frequency Data

Estimates of daily volatility are investigated. Realized volatility can be computed from returns observed over time intervals of different sizes. For simple statistical reasons, volatility estimators based on high-frequency returns have been proposed, but such estimators are found to be strongly biased as compared to volatilities of daily returns. This bias originates from microstructure effects in the price formation. For foreign exchange, the relevant microstructure effect is the incoherent price formation, which leads to a strong negative first-order autocorrelation ρ(1)≃40 per cent for tick-by-tick returns and to the volatility bias. On the basis of a simple theoretical model for foreign exchange data, the incoherent term can be filtered away from the tick-by-tick price series. With filtered prices, the daily volatility can be estimated using the information contained in high-frequency data, providing a high-precision measure of volatility at any time interval.
(J.E.L.: C13, C22, C81).     

Pricing fx forwards in OTC markets – new evidence for the pricing mechanism when faced with counterparty risk

By using daily foreign exchange (fx) market data for five major currency pairs, this article shows that, especially since the beginning of the financial crisis, pricing of fx forwards has not matched the pricing formula derived from the covered interest rate parity (CIP). This corresponds to previous empirical results. Therefore, the CIP leads to systematic over- or underpricing. Overall, four statistically significant explanatory factors for this systematic over- or underpricing have been identified – the volatility in the difference between the interest rate levels, the spot price, the fx forward spread and the counterparty risk. In particular, the high significance of the counterparty risk demonstrates that pricing models for fx forwards should be reviewed.     

Foreign equity option pricing under stochastic volatility model with double jumps

This paper considers the challenging problem advocated by Huang and Hung (2005), that is to incorporate the stochastic volatility into the foreign equity option pricing. Foreign equity options (quanto options) are contingent claims where the payoff is determined by an equity in one currency but the actual payoff is done in another currency. Huang and Hung (2005) priced foreign equity options under the Lévy processes. In Huang and Hung's paper, they considered jumps in the foreign asset prices and exchange rates and assumed the volatility as constant. However, many studies showed that constant volatility and jumps in returns are incapable of fully capturing the empirical features of equity returns or option prices. In this paper, the stochastic volatility with simultaneous jumps in prices and volatility is proposed to model foreign asset prices and exchange rates. The foreign equity option pricing formula is given by using the Fourier inverse transformation. The numerical results show that the use of stochastic volatility with simultaneous jumps in prices and volatility proposed to model foreign asset prices and exchange rates is necessary and this approach can help us to capture more accurately the foreign equity option prices.     

大宗商品价格变化与汇率波动的动态关系——兼论中国外汇储备结构调整

2008年全球金融危机以来,大宗商品价格变化与一些大宗商品输出国货币汇率的波动态势较为一致。这是偶然巧合还是必然联系?本文利用VEC向量误差修正模型等对相关数据进行了实证分析后表明,2008年以来,大宗商品价格上升对澳大利亚、加拿大等大宗商品输出国货币汇率有正面推动作用。基于此,本文建议:为降低外汇储备风险,中国需要适时增加大宗商品输出国货币和资产在外汇储备中的比重,同时相应减持美元和美元资产。     

AGGREGATION,HETEROGENEOUS AUTOREGRESSION AND VOLATILITY OF DAILY INTERNATIONAL TOURIST ARRIVALS AND EXCHANGE RATES*

Tourism is a major source of service receipts for many countries, including Taiwan. The two leading tourism countries for Taiwan are Japan and the USA, which are sources of short‐ and long‐haul tourism, respectively. As a strong domestic currency can have adverse effects on international tourist arrivals through the price effect, daily data from 1 January 1990 to 31 December 2008 are used to model the world price, exchange rates, and tourist arrivals from the world, the USA and Japan to Taiwan, and their associated volatility. Inclusion of the exchange rate and its volatility captures approximate daily and weekly price and price volatility effects on world, US and Japanese tourist arrivals to Taiwan. The heterogeneous autoregressive model is used to approximate the slowly decaying correlations associated with the long‐memory properties in daily and weekly exchange rates and international tourist arrivals, to test whether alternative short‐ and long‐run estimates of conditional volatility are sensitive to the long‐memory in the conditional mean, to examine asymmetry and leverage in volatility, and to examine the effects of temporal and spatial aggregation. The approximate price and price volatility effects tend to be different, with the exchange rate typically having the expected negative impact on tourist arrivals to Taiwan, whereas exchange rate volatility can have positive or negative effects on tourist arrivals to Taiwan. For policy purposes, the empirical results suggest that an arbitrary choice of data frequency or spatial aggregation will not lead to robust findings as they are generally not independent of the level of aggregation used.     

Financial contagion and volatility spillover: An exploration into Indian commodity derivative market

This study measures the extent of financial contagion in the Indian asset markets. In specific it shows the contagion in Indian commodity derivative market vis-à-vis bond, foreign exchange, gold, and stock markets. Subsequently, directional volatility spillover among these asset markets, have been examined. Applying DCC-MGARCH method on daily return of commodity future price index and other asset markets for the period 2006–16, time varying correlation between commodity and other assets are estimated. The degree of financial contagion in commodity derivative market is found to be the largest with stock market and least with the gold market. A generalized VAR based volatility spillover estimation shows that commodity and stock markets are net transmitters of volatility while bond, foreign exchange and gold markets are the net receivers of volatility. Volatility is transmitted to commodity market only from the stock market. Such volatility spillover is found to have time varying nature, showing higher volatility spillover during the Global Financial Crisis and during the period of large rupee depreciation in 2013–14. These results have significant implication for optimal portfolio choice.     

CAPITAL FLOWS AND JAPANESE ASSET VOLATILITY

Characterizing asset price volatility is an important goal for financial economists. The literature has shown that variables that proxy for the information arrival process can help explain and/or forecast volatility. Unfortunately, however, obtaining good measures of volume and/or order flow is expensive or difficult in decentralized markets such as foreign exchange. We investigate the extent that Japanese capital flows, which are released weekly, reflect information arrival that improves foreign exchange and equity volatility forecasts. We find that capital flows can help explain transitory shocks to generalized autoregressive conditionally heteroskedastic volatility.     

Pricing foreign equity options with regime-switching

In this paper, we investigate the valuation of two types of foreign equity options under a Markovian regime-switching mean-reversion lognormal model, where some key model parameters in the dynamics of the foreign equity price and the foreign exchange rate are modulated by a continuous-time, finite-state Markov chain. A fast Fourier transform (FFT) approach is applied to provide an efficient way to evaluate the option prices. Numerical analysis and empirical studies are provided to illustrate the practical implementation of the proposed pricing model.     

Modelling the impact of central bank intervention on exchange rate volatility under inflation targeting

This article empirically investigates the effect of central bank’s foreign exchange interventions on the level and volatility of the Uganda shilling/US dollar exchange rate (UGX/USD) under an inflation-targeting regime. Utilizing daily data spanning the period 1 September 2005, to 31 December 2015, we estimate a foreign exchange intervention model within a GARCH theoretic framework. Empirical results indicate that foreign exchange interventions have had mixed impact on the volatility of the exchange rate. We find that inflation targeting is capable of curbing temporary exchange rate shocks. Empirical results indicate that while order flow is capable of reducing exchange rate volatility, an increase in the operating target rate, the 7-day interbank rate tends to exacerbate exchange rate volatility. Our empirical results are robust to alternative model specifications. We argue that inflation targeting is an effective monetary policy tool for curbing exchange rate volatility.     

LOCAL VERSUS PRODUCER CURRENCY PRICING: EVIDENCE FROM DISAGGREGATED DATA*

The pricing behavior of firms is a central issue in international macroeconomics. Using the introduction of the euro as a natural experiment I find that year‐to‐year volatility in import prices among Eurozone members diminished by 4% on average after the introduction of the euro. Additionally, I show that the magnitude of the drop was commensurate with the drop in exchange rate volatility. On the other hand, when looking at exports, I find that the introduction of the euro had no impact on export price volatility. The results support the hypothesis of producer currency pricing.     

Utility Regulation and Risk Allocation: The Roles of Marginal Cost Pricing and Futures Markets

The effects on consumer welfare of requiring a utility facing cost or demand risk to use either a fixed retail price or marginal cost pricing are assessed. With marginal cost pricing and cost volatility an efficient futures market allows consumer welfare to be at least as high in every state as with the fixed price. With demand risk marginal cost pricing can benefit the consumer in every state without harming the firm if the profit difference is transferred to the consumer. A futures market can act as a partial replacement for the transfer.     

Ad-Hoc Black–Scholes vis-à-vis TSRV-based Black–Scholes: Evidence from Indian Options Market

This research paper examines one-day-ahead out-of-sample performance of the volatility smirk-based options pricing models, namely, Ad-Hoc-Black–Scholes (AHBS) models on the CNX Nifty index options of India. Further, we compare the performance of these models with that of a TSRV-based Black–Scholes (BS) model. For the purpose, the study uses tick-by-tick data. The results on the AHBS models are highly satisfactory and robust across all the subgroups considered in the study. Notably, a daily constant implied volatility based ad-hoc approach outperforms the TSRV-based BS model substantially. The performance of the ad-hoc approaches improves further when the smile/smirk effect is considered. For the estimation of the implied volatility smile, we apply three weighting schemes based on the Vega and liquidity of the options. All the schemes offer equally competing results. The major contribution of the study to the existing literature on options pricing is in terms of the ex-ante examination of the ad-hoc approaches to price the options by calibrating volatility smile/smirk on a daily basis.

     

Jump risk of Presidential election: evidence from Taiwan stock and foreign exchange markets

This article employs jump-diffusion models, including the ARJI model and the GARCH-jump model, to examine jump intensity and volatility of Taiwan stock and foreign exchange markets during a Presidential election period. The empirical results indicate that, firstly, the ARJI model fits data better than the GARCH-jump model. Secondly, the Presidential election events enhance the jump intensity of both markets and the jump-induced variance is higher than diffusion-induced variance. It reveals the importance of the discrete jump process during a Presidential election period, and might provide some implications for option pricing or hedging strategy. Due to the intervention of the Central Bank in the foreign exchange market during a Presidential election period, the results indicate that jump intensity and volatility of jump size are more moderate.     

Currency internationalization and valuation effects: based on the threshold model

ABSTRACT

Based on the three functions of currency internationalization, including exchange medium, pricing currency and foreign reserve, this paper explores how the degree of currency internationalization affects the impact of the exchange rate and the asset price on valuation effects. Using samples of 161 countries or regions from 2001 to 2016 and the threshold regression method, we find that, firstly, there is a threshold effect of the exchange rate on valuation effects due to currency internationalization. The higher the comprehensive level of currency internationalization is, the greater the positive impact of the exchange rate on valuation effects will be. Secondly, the threshold effect of the asset price on valuation effects due to currency internationalization is not significant because of the high stickiness of asset price. Besides, compared with developed countries, currency internationalization is more important to increase valuation effects through exchange rate channel and asset price channel in developing countries or regions. Finally, there are some differences in the three types of currency internationalization functions. The promotion of exchange medium function will lead to a greater positive impact of the exchange rate on valuation effects, as well as pricing currency function. However, the foreign reserve function has no such effect.     

Time varying price discovery of the New Third Board market in China: does the market-making system help?

This paper examines whether the market-making system helps to improve the price discovery ability of New Third Board (NTB) market in China. We first estimate the time-varying coefficients error correction models, then apply common factor weight method to quantify the time-varying price discovery contributions, and finally explore the impacts of trading volume and volatility to price discovery contributions. Empirical results show that both markets have time-varying characteristic in terms of the magnitudes and directions of the equilibrium price adjustment due to error correction term. The Shanghai Composite Index, SZSE Component Index, and SME Index are found to lead in price discovery, while NTB exhibits the leadership on the GEM Index. Volume and volatility have significant influence on the price discovery contribution. The NTB contribution is positively related to its own trading activity, negatively related to the trading activity of Shanghai and Shenzhen stock markets, while negatively correlated with the volatility of both markets. In comparison, trading activity of SZSE Component Index and volatility of GEM Index have the greatest negative impacts on the contribution of NTB market. As an important part of China’s multi-level capital market, the pricing mechanism of the NTB market needs further to be improved.     

Calibration of implied volatility for the exchange rate for the Chinese Yuan from its derivatives

Revised implied volatility curves and surfaces for the Chinese Yuan (CNY) exchange rate are obtained from market quotations for CNY non-deliverable options by solving an inverse problem of foreign exchange option pricing, which is calculated using a regularization approach in an optimal control framework. To take account of the market expectation for the CNY exchange rate, a stochastic adjusted factor is applied that follows a Vasicek model with parameters fitted from market quotations for CNY non-deliverable forwards. A well-posed numerical scheme is implemented.     

Foreign Money Shocks and the Welfare Performance of Alternative Monetary Policy Regimes*

The welfare properties of monetary policy regimes for a country subject to foreign money shocks are examined in a two‐country sticky‐price model. Money targeting is found to be welfare superior to a fixed exchange rate when the expenditure switching effect of exchange rate changes is relatively weak, but a fixed rate is superior when the expenditure switching effect is strong. However, price targeting is superior to both these regimes for all values of the expenditure switching effect. A welfare‐maximising monetary rule yields lower output and exchange rate volatility than price targeting for a wide range of parameter values.     

Terms‐of‐Trade Shocks and Exchange Rate Regimes in a Small Open Economy*

We examine the impact of terms‐of‐trade shocks on key macroeconomic variables by numerically solving a dynamic stochastic general equilibrium model of a small open economy. The model considers nominal price rigidity under different exchange rate regimes. The numerical solutions obtained are consistent with the empirical regularities documented by Broda (2004), in which output responses to shocks are smoother in floats than in pegs; in moving from pegs to floats, the rise in nominal exchange rate volatility is coupled by the rise in real exchange rate volatility; and in both exchange rate regimes, net foreign assets is the most volatile variable.     

马尔可夫调制模型下交换期权的定价

在这篇文章中,假定市场经济状态由一个两状态马尔可夫链描述,风险资产满足一个两状态的马尔可夫调制过程。当市场处于高波动状态时,风险资产的价格满足跳扩散过程;当市场处于稳定状态时,风险资产的价格满足几何布朗运动.通过测度变换的技术,得到了交换期权的定价公式。最后,利用蒙特卡洛方法给出了期权价值的数值结果。     

基于随机贴现因子的人民币与新台币汇率定价

基于随机贴现因子定价理论,采用无套利定价法,推导出人民币与新台币的即期汇率与随机贴现因子、远期汇率之间的关系,并利用人民币和新台币的无本金交割远期外汇作为远期汇率,对人民币与新台币的即期汇率进行定价。实证研究结果显示,人民币与新台币的汇率主要受中国大陆地区和台湾地区的股票市场和债券市场波动的影响。用本文模型定价模拟的即期汇率与真实汇率的变动趋势较为一致,这表明本文模型可为人民币与新台币之间的双向直接兑换提供依据,进而有助于建立两岸货币清算机制。