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This study investigates the deviation from put-call parity in the KOSPI200 options market. The sample period is from January 2, 2006 to May 31, 2009. Due to the financial crisis in 2008, short sale of stocks had been prohibited from October 1, 2008 to May 31, 2009. The sample is divided into the pre-crisis period and the crisis period. The crisis period is the period during which short sale of stocks are prohibited. The summary statistics shows that the trading volume of KOSPI200 stocks doubled, but the trading volume of call options and that of put options declined to one half and one third from the pre-crisis period to the crisis period, respectively. The equation which relates the deviation of futures price to the deviation of put-call parity is derived and the deviation from put-call parity is analyzed by using two stage least square. This paper looks into not only the prior 60 day return's momentum effect, but also the intraday spot return's momentum effect. Evidence indicates that the intraday momentum does exist in options and stock prices. Empirical results show that the prior 60 day return's momentum effect is statistically insignificant during the pre-crisis period, but statistically significant during the crisis period whereas the intraday return's momentum effect is strongly significant for both of the periods. This result lends support to the argument that the deviation of futures price from its theoretical price is a component of the deviation from put-call parity. The sign and significance of the regression coefficient for momentum effects are consistent with Kim and Park (2011) and Kim (2012) again lending support to the validity of their regression equation. Overall, our results are consistent with the validity of the derived equation, Kim and Park (2011) and Kim (2013)’s rationale.

This study examines put-call-futures parity in KOSPI 200 index futures and options markets for the sampling period between January of 2011 and December of 2013 in order to investigate whether option multiplier increasing affects on the arbitragee efficiency of an index option market and permanent relationship between futures and options markets by analyzing minute by minute historical index option and future intraday trading data.

What we find is that the arbitrage opportunities associated with put-call-futures parity increase to 5.16% from 1.75% after increasing option multiplier. Although there is no significant change of discrepancies in ATM options, a slight decrease of mispricing is found in the moneyness where call option is OTM. It turns out, however, that the arbitrage opportunities increase by 3.4 times in the moneyness below 0.97 or above 1.03, after increasing multiplier. Also ex-ante analysis shows that most of arbitrage opportunities disappear within one minute, but the speed of dissipation becomes to decrease in the moneyness where the liquidity of ITM options declines to be a very low level. Overall our results suggest that the arbitrage efficiency in the KOSPI 200 index option markets might be deteriorated after an increasing of option multiplier.

This study examines the impacts of the KTB futures options, newly introduced at the Korea Futures Exchange (KOFEX) on May, 2002, on the intraday volatility and liquidity of the KTB futures markets for the period from January 17, 2002, to August 30, 2002. The results show that the volatility of the KTB futures appears to have increased since the inception of the KTB futures options. However, the increase in volatility largely disappears after controlling for the effects of volume, time-to-maturity, day-of-the-week, and bid-ask bounce. There is some mixed evidence regarding the impact on the liquidity of the KTB futures markets, in the sense that the trading volume has increased significantly whereas the bid-ask spreads have widened too. The KTB futures price changes are more likely to lead the price changes of the KTB futures options by about 15 minutes, which is probably due to the infrequent trading problem on the part of the KTB futures options. Finally, though infrequently traded, the put-futures parity condition is rarely violated, and thus is difficult to be exploited for arbitrage transactions, indicating that the two markets are closely linked each other.

Using the next-day and next-week returns of stocks in the Korean market, we examine the association of option volume ratios – i.e. the option-to-stock (O/S) ratio, which is the total volume of put options and call options scaled by total underlying equity volume, and the put-call (P/C) ratio, which is the put volume scaled by total put and call volume – with future returns. We find that O/S ratios are positively related to future returns, but P/C ratios have no significant association with returns. We calculate individual, institutional, and foreign investors’ option ratios to determine which ratios are significantly related to future returns and find that, for all investors, higher O/S ratios predict higher future returns. The predictability of P/C depends on the investors: institutional and individual investors’ P/C ratios are not related to returns, but foreign P/C predicts negative next-day returns. For net-buying O/S ratios, institutional net-buying put-to-stock ratios consistently predict negative future returns. Institutions’ buying and selling put ratios also predict returns. In short, institutional put-to-share ratios predict future returns when we use various option ratios, but individual option ratios do not.

This article examines the information contents in the implied volatility spread between the KOSPI200 at-the-money puts and calls with the same strike price and maturity. Using 1-minute KOSPI200 index and options data, our study shows that the volatility spread leads KOSPI200 index return for about 30 minutes during the entire sample period. Moreover, our study reveals that the volatility spread is an independent information source even after using the implied skewness parameter as an additional controlled variable, and that the volatility spread leads the index much more than the skewness paremeter does. We also conduct impulse response tests and variance decomposition based on the VAR model, and the results also show that the volatility spread has the most significant influence on the other variables. Finally, we conduct regression analysis to find whether the extremely bullish or bearish markets affect the informationality of volatility spread, and the results show that the information contents decrease when the market is in an extreme condition.

This paper examines the martingale restriction for the KOSPI 200 index options market. And in cases of the rejections, we investigate the relative market efficiency between stock index and stock index options market, using approximate entropy (ApEn) method proposed by Pincus (1994), which quantifies a complexity, irregularity and unpredictability in time series. The empirical results of this study clearly reject the martingale restriction and regression analyses indicate that the historical returns of underlying index can explain about 25% of the price differences between option-implied and market index prices but the total trading volume can explain only a small portion of the price differences. These results have cast doubt on the informational efficiency of this market. Comparing the relative market efficiency based on ApEn have showed that the complexity or irregularity of KOSPI 200 index is larger than the index options during the entire sample period. But, Examining separately ApEn of the magnitude and the sign time series which compose log-returns document that stock index options market reflect more efficiently the information about the direction of price changes than the stock index market in 2014 and the efficiency of the index options market about the directional information may be affected by directional traders who prefer certain strategies designed by exploiting past stock market movements.