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This article explores the hedging effectiveness of KIKO options by using the mean-variance analysis of Markowitz and by comparing three hedge measures such as Sharpe hedging effectiveness measure proposed by Howard and D’Antonio (1987), Fishburn (1977)’s measure, and Ederington (1979)’s. which calculates the degree to which the rate of return per unit of risk increases and total volatilty and down-side risk of hedged portfolio diminishes respectively. This paper differs from the previous researches in that this research first assumes that the firms hold the same value of dollar amount as that of short calls at each of settlement dates, and secondly this article performs multiple period of analysis instead of single period.

This paper finds first that the hedging effectiveness of KIKO options is not better than that of currency forward contract in making a reduction of the total volatility and down-side risks of hedged portfolio. Secondly the hedge effectiveness is the highest at the first settlement date but it plunges when the time passes by, which is mainly due to the fact that the value of in-the-money put decreases, but that of out-of-the-money call increases as the time to maturity increases. Thirdly, it is found that another KIKO option with the equal premium shows even better hedging performance than the original KIKO in three aspects of hedging effectiveness. In conclusion, the KIKO turns out to be a lemon.

The purpose of this study is to investigate hedging effectiveness of KOSPI200 index futures and options using three measures proposed by Fishburn (1977), Ederington (1979), and Howard and D’Antonio (1987). The comparison of hedging effectiveness is conducted based on the market prices of KOSPI200 index futures and options traded in Korea Exchange (KRX) between January of 2001 and January of 2011, during which bootstrapping method is utilized to make a dataset of 100,000 random samples with holding period of 1, 3, 6, and 12 months, respectively. We examine the hedging performance of hedge portfolios made of short futures, protective puts and covered calls respectively based on three hedging effectiveness measures.

One of our finding is that short futures hedging is better than options in minimizing total volatility risk as well as down-side risk, which is consistent to the previous researches. Also futures hedging is more effective in reducing the VaR than the others. Secondly, the optimal hedge ratios of futures in minimizing total risk and down-side risk are turned out to be 0.97~0.98 and 0.94~0.95 respectively. Third, OTM short call hedge is the best hedging instrument when hedgers would like to maximize the Sharpe ratio. Finally, protective put hedging strategy is in general inferior to the short futures and covered call hedge based on three hedging effectiveness measures.

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 investigates a forecasting power of volatility curvatures and risk neutral densities implicit in KOSPI 200 option prices by analyzing minute by minute historical index option intraday trading data from January of 2007 to January of 2011. We begin by estimating implied volatility functions and risk neutral price densities based on non-parametric method every minute and by calculating volatility curvature and skewness premium. We then compare the daily rate of return of the signal following trading strategy that we buy (sell) a stock index when the volatility curvature or skewness premium increases (decreases) with that of an intraday buy-and-hold strategy that we buy a stock index on 9:05AM and sell it on 2:50PM. We found that the rate of return of the signal following trading strategy was significantly higher than that of the intraday buy-and-hold strategy, which implies that the option prices have a strong forecasting power on the direction of stock market. Another finding is that the information contents of option prices disappear after three or four minutes.

The purpose of this paper is to examine the argument that the put options traded in the exchanges are too high, compared to the asset prices based on the classical CAPM model, and thus the short position of the put option would make a significant profit from trading. In order to explore the earlier report, this paper, using the KOSPI 200 index options market price, estimates the historical rate of return on several option trading strategies such as naked option, protective put, covered call, straddle, and strangle. Secondly this paper compares the historical rates of return on the option trading strategies and Sharpe ratios with those generated by Monte-Carlo simulation and examines whether the historical option returns are inconsistent with Black-Scholes model, Jump-diffusion model, Stochastic Volatility model, or Stochastic Volatility with Jump model. Thirdly, this paper computes the optimal asset allocation ratio among the risk-free asset, risky assets, and option trading strategies in the viewpoint of rational investors who maximize the CRRA utility function.

The results show that the historical returns on short position of ATM and OTM puts are too high to explain based on the classical CAPM, and the optimal allocation ratios among put, risky asset, and the risk-free asset are different from those derived using Monte-Carlo simulation.