Liquidity Discount Value of ITM Option

Kyung-Woo Son (National Pension Research Institute)
Sang-Su Kim (Korea National Open University)

Journal of Derivatives and Quantitative Studies: 선물연구

ISSN: 1229-988X

Article publication date: 30 November 2014



KOSPI 200 index option market is one of the markets which is perfectly liquid in the world. While ATM options and OTM options are liquid, ITM options are not. This paper derives LDV (liquidity discount value) from the ITM options by using the no-arbitrage condition of synthetic futures considering market friction.

In this paper, we show that theoretically derived LDV is related to trading volume as standard proxy of liquidity measure and LDV in ITM options exhibit a U-shaped pattern across moneyness. Other findings are that the expected returns from the synthetic futures arbitrage trading considering liquidity premium exhibit a U-shaped pattern across moneyness and it depends on the maturity. This means that the longer days remaining to expiration date, the greater the incentive for arbitrage trading.



Son, K.-W. and Kim, S.-S. (2014), "Liquidity Discount Value of ITM Option", Journal of Derivatives and Quantitative Studies: 선물연구, Vol. 22 No. 4, pp. 699-722.



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