Efficiency of S&P CNX Nifty Index Option of the National Stock Exchange (NSE), India, using Box Spread Arbitrage Strategy

Abstract

Box spread is a trading strategy in which one simultaneously buys and sells options having the same underlying asset and time to expiration, but different exercise prices. This study examined the efficiency of European style S&P CNX Nifty Index options of National Stock Exchange, (NSE) India by making use of high-frequency data on put and call options written on Nifty (Time-stamped transactions data) for the time period between 1 st January 2002 and 31 st December 2005 using box-spread arbitrage strategy. The advantages of box-spreads include reduced joint hypothesis problem since there is no consideration of pricing model or market equilibrium, no consideration of inter-market non-synchronicity since trading box spreads involve only one market, computational simplicity with less chances of misspecification error, estimation error and the fact that buying and selling box spreads more or less replicates risk-free lending and borrowing. One thousand three hundreds and fifty eight exercisable boxspreads were found for the time period considered of which 78 Box spreads were found to be profitable after incorporating transaction costs (32 profitable box spreads were identified for the year 2002, 19 in 2003, 14 in 2004 and 13 in 2005) The results of our study suggest that internal option market efficiency has improved over the years for S&P CNX Nifty Index options of NSE India. Abstrak:Box spread adalah strategi trading dimana seseorang dapat secara simultan membeli dan menjual option yang memiliki dasar aset dan waktu berakhir yang sama, namun dengan harga latihan yang berbeda. Penelitian ini menguji efisiensi gaya Eropa S&P CNX Nifty Index Option pada Bursa Efek Nasional di India dengan memanfaatkan data frekuensi tinggi pada put dan call option yang tertulis di Nifty (data transaksi cap waktu) untuk periode antara 1 Januari sampai 1 Desember 2005 dengan menggunakan strategi arbritase box spread. Keuntungan dari box spread adalah berkurangnya masalah hipotesis gabungan karena tidak ada pertimbangan atas model harga atau ekuilibrium pasar modal, tidak ada pertimbangan atas non-sinkronitas antarpasar modal karena box spread perdagangan hanya meliputi satu pasar modal, kemudahan komputasional dengan berkurangnya kesalahan spesifikasi, kesalahan estimasi, dan fakta bahwa pembelian dan penjualan box spread kurang lebih menggandakan pinjam-meminjam yang bebas resiko. Sebanyak 1358 box spread ditemukan dan sebanyak 78 box spread dianggap menguntungkan setelah Acknowledgement

Options Pricing by Monte Carlo Simulation, Binomial Tree and BMS Model: a comparative study of Nifty50 options index

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