Pricing Currency Options with Intra-Daily Implied Volatility

This paper introduces the intra-daily implied volatility (IDIV), a new volatility measure to price currency option accurately. The IDIV is developed based on the implied volatility estimated on equally spaced intradaily intervals. This model captures the intra-daily level aggregate information rel...

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Main Authors: Ariful Hoque, Petko S. Kalev
Format: Article
Language:English
Published: University of Wollongong 2015-03-01
Series:Australasian Accounting, Business and Finance Journal
Subjects:
Online Access:http://ro.uow.edu.au/aabfj/vol9/iss1/4
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author Ariful Hoque
Petko S. Kalev
author_facet Ariful Hoque
Petko S. Kalev
author_sort Ariful Hoque
collection DOAJ
description This paper introduces the intra-daily implied volatility (IDIV), a new volatility measure to price currency option accurately. The IDIV is developed based on the implied volatility estimated on equally spaced intradaily intervals. This model captures the intra-daily level aggregate information related to foreign exchange (FX) behavior, which changes every five minutes. The implied volatility (IV) and realized volatility (RV) are widely accepted as good estimates of daily and intra-daily price volatility, respectively. Therefore, using the options pricing framework, we assess the capability of IDIV against IV and RV in pricing foreign currency options. A comparison of out-of-sample forecasts under both the F-test and Diebold-Mariano test reveals that the IDIV outperforms both the IV and the RV in estimating one-day-ahead option prices. In other words, the IDIV estimation framework provides a more accurate and efficient volatility estimate for pricing currency options. The findings of this study indicate that the forward looking intra-daily information of IDIV is appropriate to price options correctly rather than forward looking daily and historical intra-daily information is obtained by the IV and RV, respectively.
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spelling doaj.art-edee531dfce84476907c679c88f773982022-12-22T02:39:07ZengUniversity of WollongongAustralasian Accounting, Business and Finance Journal1834-20001834-20192015-03-0191435610.14453/aabfj.v9i1.4Pricing Currency Options with Intra-Daily Implied VolatilityAriful Hoque0Petko S. Kalev1Murdoch University, AustraliaUniversity of South Australia, AustraliaThis paper introduces the intra-daily implied volatility (IDIV), a new volatility measure to price currency option accurately. The IDIV is developed based on the implied volatility estimated on equally spaced intradaily intervals. This model captures the intra-daily level aggregate information related to foreign exchange (FX) behavior, which changes every five minutes. The implied volatility (IV) and realized volatility (RV) are widely accepted as good estimates of daily and intra-daily price volatility, respectively. Therefore, using the options pricing framework, we assess the capability of IDIV against IV and RV in pricing foreign currency options. A comparison of out-of-sample forecasts under both the F-test and Diebold-Mariano test reveals that the IDIV outperforms both the IV and the RV in estimating one-day-ahead option prices. In other words, the IDIV estimation framework provides a more accurate and efficient volatility estimate for pricing currency options. The findings of this study indicate that the forward looking intra-daily information of IDIV is appropriate to price options correctly rather than forward looking daily and historical intra-daily information is obtained by the IV and RV, respectively.http://ro.uow.edu.au/aabfj/vol9/iss1/4realized volatilitycurrency options pricingIntra-daily implied volatility
spellingShingle Ariful Hoque
Petko S. Kalev
Pricing Currency Options with Intra-Daily Implied Volatility
Australasian Accounting, Business and Finance Journal
realized volatility
currency options pricing
Intra-daily implied volatility
title Pricing Currency Options with Intra-Daily Implied Volatility
title_full Pricing Currency Options with Intra-Daily Implied Volatility
title_fullStr Pricing Currency Options with Intra-Daily Implied Volatility
title_full_unstemmed Pricing Currency Options with Intra-Daily Implied Volatility
title_short Pricing Currency Options with Intra-Daily Implied Volatility
title_sort pricing currency options with intra daily implied volatility
topic realized volatility
currency options pricing
Intra-daily implied volatility
url http://ro.uow.edu.au/aabfj/vol9/iss1/4
work_keys_str_mv AT arifulhoque pricingcurrencyoptionswithintradailyimpliedvolatility
AT petkoskalev pricingcurrencyoptionswithintradailyimpliedvolatility