This file is part of IDEAS , which uses RePEc data
[ Papers |
Articles |
Software |
Books |
Chapters |
Authors |
Institutions |
JEL Classification |
NEP reports |
Search |
New papers by email |
Author registration |
Rankings |
Volunteers |
FAQ |
Blog |
Help! ]
Accouting for Biases in Black-Scholes Author info | Abstract | Publisher info | Download info | Related research | Statistics David Backus (New York University)
Silverio Foresi (Goldman Sachs)
Liuren Wu (Fordham University)
Additional information is available for the following
registered author(s):
Prices of currency options commonly differ from the Black-Scholes formula along two dimensions: implied volatilities vary by strike price (volatility smiles) and maturity (implied volatility of atthemoney options increases, on average, with maturity). We account for both using GramCharlier expansions to approximate the conditional distribution of the logarithm of the price of the underlying security. In this setting, volatility is approximately a quadratic function of moneyness, a result we use to infer skewness and kurtosis from volatility smiles. Evidence suggests that both kurtosis in currency prices and biases in BlackScholes option prices decline with maturity.
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page . Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
Paper provided by EconWPA in its series Finance with number
0207008.
Download reference. The following formats are available: HTML
(with abstract ),
plain text
(with abstract ),
BibTeX ,
RIS (EndNote, RefMan, ProCite),
ReDIF
Length: 41 pages
Date of creation: 30 Aug 2002Date of revision:
Handle: RePEc:wpa:wuwpfi:0207008Note: Type of Document - postscript; prepared on MikTex; to print on postscript; pages: 41 ; figures: included. produced via dvipsContact details of provider: Web page: http://129.3.20.41
For technical questions regarding this item, or to correct its listing, contact: (EconWPA).
Keywords: currency options ; skewness and kurtosis ; Gram-Charlier expansions ; implied volatility ; Other versions of this item:
Find related papers by JEL classification: G12 - Financial Economics - - General Financial Markets - - - Asset Pricing G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing F31 - International Economics - - International Finance - - - Foreign Exchange C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.:
Neil Shephard, 2005.
"Stochastic Volatility ,"
Economics Papers
2005-W17, Economics Group, Nuffield College, University of Oxford.
[Downloadable!]
Hansen, Bruce E, 1994.
"Autoregressive Conditional Density Estimation ,"
International Economic Review ,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-30, August.
[Downloadable!] (restricted)
Other versions: Jarrow, Robert & Rudd, Andrew, 1982.
"Approximate option valuation for arbitrary stochastic processes ,"
Journal of Financial Economics ,
Elsevier, vol. 10(3), pages 347-369, November.
[Downloadable!] (restricted)
Yacine Ait-Sahalia & Andrew W. Lo, 1995.
"Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices ,"
NBER Working Papers
5351, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions:
Yacine Aït-Sahalia & Andrew W. Lo, .
"Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices ,"
CRSP working papers
332, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
Yacine Aït-Sahalia & Andrew W. Lo, 1998.
"Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices ,"
Journal of Finance ,
American Finance Association, vol. 53(2), pages 499-547, 04.
[Downloadable!] (restricted) Menachem Brenner & Young Ho Eom, 1997.
"No-Arbitrage Option Pricing: New Evidence on the Validity of the Martingale Property ,"
New York University, Leonard N. Stern School Finance Department Working Paper Seires
98-009, New York University, Leonard N. Stern School of Business-.
Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1997.
"Taming the Skew: Higher-Order Moments in Modeling Asset Price Processes in Finance ,"
NBER Working Papers
5976, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Longstaff, Francis A, 1995.
"Option Pricing and the Martingale Restriction ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 8(4), pages 1091-1124.
[Downloadable!] (restricted)
Frank Milne & Dilip Madan, 1994.
"Contingent Claims Valued And Hedged By Pricing And Investing In A Basis ,"
Working Papers
1158, Queen's University, Department of Economics.
[Downloadable!]
Other versions: Baillie, Richard T & Bollerslev, Tim, 1989.
"The Message in Daily Exchange Rates: A Conditional-Variance Tale ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 7(3), pages 297-305, July.
Other versions: Rosenberg, Joshua V., 1998.
"Pricing multivariate contingent claims using estimated risk-neutral density functions ,"
Journal of International Money and Finance ,
Elsevier, vol. 17(2), pages 229-247, April.
[Downloadable!] (restricted)
Other versions:
Joshua Rosenberg, 1996.
"Pricing Multivariate Contingent Claims Using Estimated Risk-neutral Density Functions ,"
New York University, Leonard N. Stern School Finance Department Working Paper Seires
96-36, New York University, Leonard N. Stern School of Business-.
Joshua Rosenberg, 1997.
"Pricing Multivariate Contingent Claims using Estimated Risk-neutral Density Functions ,"
New York University, Leonard N. Stern School Finance Department Working Paper Seires
98-057, New York University, Leonard N. Stern School of Business-.
Melino, Angelo & Turnbull, Stuart M., 1990.
"Pricing foreign currency options with stochastic volatility ,"
Journal of Econometrics ,
Elsevier, vol. 45(1-2), pages 239-265.
[Downloadable!] (restricted)
Mark Rubinstein, 1976.
"The Valuation of Uncertain Income Streams and the Pricing of Options ,"
Bell Journal of Economics ,
The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
[Downloadable!] (restricted)
Bates, David S, 1996.
"Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 9(1), pages 69-107.
[Downloadable!] (restricted)
Jose M. Campa & P.H. Kevin Chang & Robert L. Reider, 1997.
"Implied Exchange Rate Distributions: Evidence from OTC Option Markets ,"
NBER Working Papers
6179, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions: Merton, Robert C., 1975.
"Option pricing when underlying stock returns are discontinuous ,"
Working papers
787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
[Downloadable!]
Other versions: Philippe Jorion, 1988.
"On Jump Processes in the Foreign Exchange and Stock Markets ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 1(4), pages 427-445.
[Downloadable!] (restricted)
Peter A. Abken & Dilip B. Madan & Sailesh Ramamurtie, 1996.
"Estimation of risk-neutral and statistical densities by Hermite polynomial approximation: with an application to Eurodollar futures options ,"
Working Paper
96-5, Federal Reserve Bank of Atlanta.
[Downloadable!]
Campa, Jose Manuel & Chang, P H Kevin, 1996.
"Arbitrage-Based Tests of Target-Zone Credibility: Evidence from ERM Cross-Rate Options ,"
American Economic Review ,
American Economic Association, vol. 86(4), pages 726-40, September.
[Downloadable!] (restricted)
Other versions: Akgiray, Vedat & Booth, G Geoffrey, 1988.
"Mixed Diffusion-Jump Process Modeling of Exchange Rate Movements ,"
The Review of Economics and Statistics ,
MIT Press, vol. 70(4), pages 631-37, November.
[Downloadable!] (restricted)
Black, Fischer & Scholes, Myron S, 1973.
"The Pricing of Options and Corporate Liabilities ,"
Journal of Political Economy ,
University of Chicago Press, vol. 81(3), pages 637-54, May-June.
[Downloadable!] (restricted)
Garman, Mark B. & Kohlhagen, Steven W., 1983.
"Foreign currency option values ,"
Journal of International Money and Finance ,
Elsevier, vol. 2(3), pages 231-237, December.
[Downloadable!] (restricted)
Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Angel León & Gonzalo Rubio, 2003.
"Smiling under stochastic volatility ,"
DFAEII Working Papers
200202, University of the Basque Country - Department of Foundations of Economic Analysis II.
[Downloadable!]
Peter Carr & Liuren Wu, 2002.
"The Finite Moment Log Stable Process and Option Pricing ,"
Finance
0207012, EconWPA.
[Downloadable!]
Other versions: Stefano Galluccio & Yann Le Cam, 2005.
"Implied Calibration of Stochastic Volatility Jump Diffusion Models ,"
Finance
0510028, EconWPA.
[Downloadable!]
Liuren Wu, 2004.
"Dampened Power Law: Reconciling the Tail Behavior of Financial Security Returns ,"
Finance
0401001, EconWPA.
[Downloadable!]
Other versions: Peter Christoffersen & Sílvia Gonçalves, 2004.
"Estimation Risk in Financial Risk Management ,"
CIRANO Working Papers
2004s-15, CIRANO.
[Downloadable!]
Torben G. Andersen & Luca Benzoni & Jesper Lund, 2001.
"An Empirical Investigation of Continuous-Time Equity Return Models ,"
NBER Working Papers
8510, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions: David Backus & Silverio Foresi & Chris Telmer, 1998.
"Discrete-Time Models of Bond Pricing ,"
NBER Working Papers
6736, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions: Gonzalo Rubio & Eva Ferreira & Mónica Gago, 2003.
"An empirical comparison of the performance of alternative option pricing models ,"
DFAEII Working Papers
200204, University of the Basque Country - Department of Foundations of Economic Analysis II.
[Downloadable!]
Other versions: Terry Marsh & Takao Kobayashi, 2001.
"The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry ,"
CIRJE F-Series
CIRJE-F-120, CIRJE, Faculty of Economics, University of Tokyo.
[Downloadable!]
Benjamin Miranda Tabak & Sandro Canesso de Andrade & Eui Jung Chang, 2004.
"Tracking Brazilian Exchange Rate Volatility ,"
Econometric Society 2004 Far Eastern Meetings
487, Econometric Society.
[Downloadable!]
Angel León & Gonzalo Rubio & Gregorio Serna, 2003.
"Autorregresive conditional volatility, skewness and kurtosis ,"
DFAEII Working Papers
200206, University of the Basque Country - Department of Foundations of Economic Analysis II.
[Downloadable!]
Gabriele Fiorentini & Angel León & Gonzalo Rubio, .
"Short-term options with stochastic volatility: Estimation and empirical performance ,"
Studies on the Spanish Economy
02, FEDEA.
[Downloadable!]
Other versions: Gael M. Martin & Catherine S. Forbes & Vance L. Martin, 2003.
"Implicit Bayesian Inference Using Option Prices ,"
Monash Econometrics and Business Statistics Working Papers
5/03, Monash University, Department of Econometrics and Business Statistics.
[Downloadable!]
Other versions:
Martin, G.M. & Forbes, C.S. & Martin, V.L., 2000.
"Implicit Bayesian Inference Using Option Prices ,"
Monash Econometrics and Business Statistics Working Papers
5/2000, Monash University, Department of Econometrics and Business Statistics.
[Downloadable!] Gael M. Martin & Catherine S. Forbes & Vance L. Martin, 2005.
"Implicit Bayesian Inference Using Option Prices ,"
Journal of Time Series Analysis ,
Blackwell Publishing, vol. 26(3), pages 437-462, 05.
[Downloadable!] (restricted)
Access and
download statistics Did you know? All bibliographic data on IDEAS has been put in the public domain by the publishers.
This page was last updated on 2009-10-20.
This information is provided to you by IDEAS at the Department of Economics , College of Liberal Arts and Sciences , University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics .