Akihiko Takahashi Homepage

Published or Accepted Papers

  • [P-115]" ”A Multi-Agent Equilibrium Model in an Incomplete Market with Discrete Dividends: Applications to Long-Term Discount Curves”
    (Taiga Saito, Akihiko Takahashi)
    PLOS ONE (Forthcoming)
    Abstract/PDF :Abstract/PDF CARF-F-599
  • [P-114]" ”Generating the Term Structure of Interest Rates with Diffusion Models”
    (Yosuke Fukunishi, Haorong Qiu, Akihiko Takahashi, Fan Ye)
    Expert Systems with Applications
    Published Paper
  • [P-113]" ”Investment with New Sentiment Analysis in Japanese Stock Market: Expert knowledge can still outperform ChatGPT”
    (Zhenwei Lin, Masafumi Nakano, Akihiko Takahashi)
    Asia-Pacific Financial Markets
    Abstract
    CARF-F-601
  • [P-112] ”Asymptotic expansion and weak approximation applications of Malliavin calculus and deep learning”
    (Akihiko Takahashi,Toshihiro Yamada)
    SpringerBriefs in Statistics, JSS Research Series in Statistics, Springer, 2025, https://doi.org/10.1007/978-981-96-8280-5

  • [P-111] ”Asymptotic expansions as control variates for deep solvers to fully-coupled forward-backward stochastic differential equations”
    (Makoto Naito, Taiga Saito, Akihiko Takahashi, Kohta Takehara)
    PLOS ONE published: May 28, 2025
    Published Paper
    Abstract/PDF : CARF-F-600
  • [P-110] ”New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion”
    (Akihiko Takahashi, Toshihiro Yamada)
    Asymptotic Analysis (First published online May 13, 2024 )
    Abstract/PDF : CARF-F-563
  • [P-109] ”A multi-agent incomplete equilibrium model and its applications to reinsurance pricing and life-cycle investment”
    (Keisuke Kizaki, Taiga Saito, Akihiko Takahashi)
    Insurance: Mathematics and Economics (forthcoming)
    Abstract/PDF : CARF-F-576
    Abstract/PDF : CIRJE-F-1206
  • [P-108] ”Equilibrium multi-agent model with heterogeneous views on fundamental risks”
    (Keisuke Kizaki, Taiga Saito, Akihiko Takahashi)
    Automatica (forthcoming)
    Abstract/PDF : CARF-F-571
    Abstract/PDF : CIRJE-F-1173
  • [P-107] ”A Dynamic Analysis of the Bank of Japan's ETF/REIT Purchase Program”
    (Daiya Mita, Kiyohiko G. Nishimura, Taiga Saito, Akihiko Takahashi)
    Expert Systems with Applications (forthcoming)
    Abstract/PDF : CARF-F-566
  • [P-106] ”Optimal Loan Portfolio under Regulatory and Internal Constraints”
    (Makoto Okawara, Akihiko Takahashi)
    International Journal of Financial Engineering (forthcoming) Abstract/PDF : CARF-F-558
  • [P-105] ”Multi-Agent Model Based Proactive Risk Management For Equity Investment”
    (Daiya Mita, Akihiko Takahashi)
    Engineering Applications of Artificial Intelligence, Volume 125, October 2023, 106701 Abstract/PDF : CARF-F-561
  • [P-104] ”Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus”
    (Akihiko Takahashi, Toshihiro Yamada)
    Patiral Differential Equations and Applications (forthcoming)
    Abstract/PDF : CARF-F-560
  • [P-103] ”A state space modeling for proactive management in equity investment”
    (Akihiko Takahashi, Soichiro Takahashi)
    International Journal of Financial Engineering (forthcoming)
    Abstract/PDF : CARF-F-543
  • [P-102] ”Portfolio optimization with choice of a probability measure”
    (Taiga Saito, Akihiko Takahashi)
    proceedings of IEEE CIFEr 2022 (forthcoming)
    Abstract/PDF : CARF-F-534
  • [P-101] ”Equilibrium Price Formation with a Major Player and its Mean Field Limit”
    (Masaaki Fujii, Akihiko Takahashi)
    ESAIM: Control: Optimization and Calculus of Variations (forthcoming)
    Abstract/PDF : CARF-F-533
  • [P-100] ”A new efficient approximation scheme for solving high-dimensional semilinear PDEs: control variate method for Deep BSDE solver”
    (Akihiko Takahashi, Yoshifumi Tsuchida, Toshihiro Yamada)
    Journal of Computational Physics (forthcoming)
    Abstract/PDF : CARF-F-532
  • [P-99] ”Strong Convergence to the Mean-Field Limit of A Finite Agent Equilibrium”
    (Masaaki Fujii, Akihiko Takahashi)
    SIAM Journal on Financial Mathematics (forthcoming)
    Abstract/PDF : CARF-F-529
  • [P-98] ”Deep Asymptotic Expansion: Application to Financial Mathematics”
    (Yuga Iguchi, Riu Naito, Yusuke Okano, Akihiko Takahashi, Toshihiro Yamada)
    Proceedings of IEEE CSDE 2021(forthcoming)
    Abstract/PDF : CARF-F-523
  • [P-97] ”A Mean Field Game Approach to Equilibrium Pricing with Market Clearing Condition”
    (Masaaki Fujii, Akihiko Takahashi)
    SIAM Journal on Control and Optimization (forthcoming)
    Abstract/PDF : CARF-F-521
  • [P-96] ”Sup-inf/inf-sup problem on choice of a probability measure by FBSDE approach”
    (Taiga Saito, Akihiko Takahashi)
    IEEE Transactions on Automatic Control, Volume 66-12, 6056 - 6062, December 2021
    DOI:10.1109/TAC.2021.3058422
    Abstract/PDF : CARF-F-507
  • [P-95] "A New Interval Type-2 Fuzzy Logic System Under Dynamic Environment: Application to Financial Investment"
    (Akihiko Takahashi, Soichiro Takahashi)
    Engineering Applications of Artificial Intelligence (forthcoming)
    PDF(available until March 4, 2021)
  • [P-94] "A new investment method with AutoEncoder: Applications to crypto currencies"
    (Masafumi Nakano, Akihiko Takahashi)
    Expert Systems with Applications, Volume 162, 30 December 2020, 113730
    DOI:10.1016/j.eswa.2020.113730
    Abstract : CARF-F-489
    PDF(available until September 27, 2020)
  • [P-93] "Interest Rate Model with Investor Attitude and Text Mining"
    (Souta Nakatani, Kiyohiko G. Nishimura, Taiga Saito, Akihiko Takahashi)
    published in IEEE Access, 06 May 2020
    DOI:10.1109/ACCESS.2020.2992477
    Abstract : CARF-F-479
    PDF
  • [P-92] "State space approach to adaptive fuzzy modeling for financial investment"
    (Masafumi Nakano, Akihiko Takahashi, Soichiro Takahashi)
    Applied Soft Computing, Volume 82, September 2019, 105590
    DOI:10.1016/j.asoc.2019.105590
    Abstract/PDF
  • [P-91] "Asymptotic Expansion as Prior Knowledge in Deep Learning Method for high dimensional BSDEs"
    (Masaaki Fujii, Akihiko Takahashi, Masayuki Takahashi)
    Asia-Pacific Financial Markets, 18 March 2019
    DOI:10.1007/s10690-019-09271-7
    Abstract/PDF : CARF-F-456
  • [P-90] "Stochastic Differential Game in High Frequency Market"
    (Taiga Saito, Akihiko Takahashi)
    Automatica, Volume 104, June 2019, Pages 111–125
    DOI:10.1016/j.automatica.2019.02.051
    Abstract : CARF-F-451
  • [P-89] "Term Structure Models During the Global Financial Crisis: A Parsimonious Text Mining Approach"
    (Kiyohiko G. Nishimura, Seisho Sato, Akihiko Takahashi)
    Asia-Pacific Financial Markets, 04 January 2019
    DOI:10.1007/s10690-018-09267-9
    Abstract : CARF-F-446
  • [P-88] "Application of Online Booking Data to Hotel Revenue Management"
    (Taiga Saito, Akihiko Takahashi, Noriaki Koide, Yu Ichifuji)
    International Journal of Information Management, Volume 46, June 2019, Pages 37–53
    DOI:10.1016/j.ijinfomgt.2018.11.003
    Download
  • [P-87] "Asymptotic Expansion for Forward-Backward SDEs with Jumps"
    (Masaaki Fujii, Akihiko Takahashi)
    Stochastics, Volume 91, Issue 2, 2019, Pages 175–214
    DOI:10.1080/17442508.2018.1521808
    Abstract/PDF : CARF-F-445
  • [P-86] "Bitcoin technical trading with artificial neural network"
    (Masafumi Nakano, Akihiko Takahashi, Soichiro Takahashi)
    Physica A: Statistical Mechanics and its Applications Volume 510, 2018, Pages 587-609
    DOI:10.1016/j.physa.2018.07.017
    Abstract : CARF-F-441 (preprint version)
  • [P-85] "Anticipated Backward SDEs with Jumps and quadratic-exponential growth drivers"
    (Masaaki Fujii, Akihiko Takahashi)
    Stochastics and Dynamics Volume 19, No. 03, 1950020 (2019)
    DOI:10.1142/S0219493719500205
    Abstract/PDF : CARF-F-440
  • [P-84] "Trading and Ordering Patterns of Market Participants in High Frequency Trading Environment -Empirical Study in the Japanese Stock Market-"
    (Taiga Saito, Takanori Adachi, Teruo Nakatsuma, Akihiko Takahashi, Hiroshi Tsuda, Naoyuki Yoshino)
    Asia-Pacific Financial Markets Volume 25, Issue 3, Pages 179–220, September 2018
    DOI:10.1016/j.spa.2018.05.009
    Abstract/PDF : CARF-F-438 (Forthcoming in )
  • [P-83] "Solving Backward Stochastic Differential Equations with quadratic-growth drivers by Connecting the Short-term Expansions "
    (Masaaki Fujii, Akihiko Takahashi)
    Stochastic Processes and their Applications Volume 129, Issue 5, May 2019
    DOI:10.1016/j.spa.2018.05.009
    Abstract/PDF : CARF-F-436
  • [P-82]"On the effect of Bank of Japan's outright purchase on the JGB yield curve"
    (Masafumi Nakano, Akihiko Takahashi, Soichiro Takahashi, Takami Tokioka)
    Asia-Pacific Financial Markets, Volume 25, Issue 1, March 2018, Pages 47–70
    DOI:10.1007/s10690-018-9238-5
    Abstract/PDF : CARF-F-419 (preprint version)
  • [P-81]"Pricing Average and Spread Options under Local-Stochastic Volatility Jump-Diffusion Models"
    (Kenichiro Shiraya, Akihiko Takahashi)
    Mathematics of Operations Research Volume 44, No. 1, February 2019
    DOI:10.1287/moor.2017.0925
    PDF
  • [P-80]"Robust technical trading with fuzzy knowledge-based systems "
    Frontiers in Artificial Intelligence and Applications, Volume 297, 2017,Pages 652-667
    DOI:10.3233/978-1-61499-800-6-652
    (Masafumi Nakano, Akihiko Takahashi, Soichiro Takahashi)
    Abstract/PDF : CARF-F-413 (preprint version)
  • [P-79]"Quadratic-exponential growth BSDEs with Jumps and their Malliavin’s Differentiability"
    Stochastic Processes and their Applications, Available online 21 September 2017
    DOI:10.1016/j.spa.2017.09.002
    (Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-420 (preprint version)
  • [P-78]"Derivatives Pricing with Market Impact and Limit Order Book"
    (Taiga Saito, Akihiko Takahashi)
    Automatica, Volume 86, December 2017, Pages 154-165
    DOI:10.1016/j.automatica.2017.08.028
    Abstract/PDF : CARF-F-417 (preprint version)
  • [P-77]"Style Analysis with Particle Filtering and Generalized Simulated Annealing"
    International Journal of Financial Engineering, Volume 04, Issue 02n03, June & September 2017
    DOI:10.1142/S2424786317500372
    (Takaya Fukui, Seisho Sato, Akihiko Takahashi)
    Abstract/PDF : CARF-F-383 (preprint version)
  • [P-76]"Fuzzy Logic-based Portfolio Selection with Particle Filtering and Anomaly Detection"
    (Masafumi Nakano, Akihiko Takahashi and Soichiro Takahashi)
    Knowledge-Based Systems, Volume 131, 1 September 2017, Pages 113–124
    DOI:10.1016/j.knosys.2017.06.006
    Abstract/PDF
  • [P-75]"Creating Investment Scheme with State Space Modeling"
    (Masafumi Nakano, Akihiko Takahashi and Soichiro Takahashi)
    Expert Systems with Applications, Volume 81, 15 September 2017, Pages 53-66
    DOI:10.1016/j.eswa.2017.03.045
    Abstract/PDF
  • [P-74]"Generalized Exponential Moving Average (EMA) Model with Particle Filtering and Anomaly Detection"
    (Masafumi Nakano, Akihiko Takahashi and Soichiro Takahashi)
    Expert Systems with Applications, Volume 73, 1 May 2017, Pages 187–200
    DOI:10.1016/j.eswa.2016.12.034
    Abstract/PDF
  • [P-73]"Rebalancing Static Super-Replications"
    (Akihiko Takahashi and Yukihiro Tsuzuki)
    International Journal of Financial Engineering, Volume 04, Issue 01, March 2017
    DOI:10.1142/S2424786317500037
    Abstract/PDF : CARF-F-384 (preprint version)
  • [P-72]"An asymptotic expansion for forward-backward SDEs: a Malliavin calculus approach"
    Asia-Pacific Financial Markets, Volume 23, Issue 4, December 2016, March 2018, Pages 337–373
    DOI:10.1007/s10690-016-9220-z
    (Akihiko Takahashi and Toshihiro Yamada)
    Abstract/PDF : CARF-F-394 (preprint version)
  • [P-71]"A General Control Variate Method for Multi-dimensional SDEs: An Application to Multi-asset Options under Local Stochastic Volatility with Jumps Models in Finance"
    (Kenichiro Shiraya and Akihiko Takahashi)
    European Journal of Operational Research, Volume 258, Issue 1, 1 April 2017, Pages 358–371
    DOI:10.1016/j.ejor.2016.08.060
    Abstract/PDF
  • [P-70]"Optimal Room Charge and Expected Sales under Discrete Choice Models with Limited Capacity"
    (Saito Taiga, Akihiko Takahashi and Hiroshi Tsuda)
    International Journal of Hospitality Management, 57 (2016), 116-131 DOI:10.1016/j.ijhm.2016.06.006
    Abstract/PDF
  • [P-69]"A General Framework for the Benchmark pricing in a Fully Collateralized Market"
    International Journal of Financial Engineering, Volume 03, Issue 03, September 2016 , 1650019(30pages) (Masaaki Fujii, Akihiko Takahashi)
    DOI: 10.1142/S2424786316500195
    Abstract/PDF : CARF-F-378(preprint version)
  • [P-28-2]"Pricing and Hedging of Long-Term Futures and Forward Contracts with a Three-Factor Model"
    (Kenichiro Shiraya and Akihiko Takahashi)
    in Section I-3 (pp.31-53) of the book "Commodities" edited by M. A. H. Dempster, Ke Tang, November, 2015, Chapman and Hall/CRC. ISBN 9781498712323 - CAT# K25111
    https://www.crcpress.com/Commodities/Dempster-Tang/p/book/9781498712323
    Abstract/PDF : CARF-F-113 (preprint version)
  • [P-68]"An Asymptotic Expansion for Local-Stochastic Volatility with Jump Models"
    Stochastics: An International Journal of Probability and Stochastic Processes, DOI:10.1080/17442508.2015.1136630, volume 89-1, pp. 65-88, 2017, Published online: 01 Feb 2016(Kenichiro Shiraya, Akihiko Takahashi)
    Abstract/PDF : CARF-F-377(preprint version)
  • [P-67] "Price Impacts of Imperfect Collateralization"
    International Journal of Financial Engineering, Volume 03, Issue 01, March 2016 , 155045(31pages)(Kenichiro Shiraya, Akihiko Takahashi)
    DOI:10.1142/s2424786315500450
    Abstract/PDF : CARF-F-375
  • [P-66]"An approximation formula for basket option prices under local stochastic volatility with jumps: an application to commodity markets"
    Journal of Computational and Applied Mathematics, Volume 292, 15 January 2016, Pages 230–256(Kenichiro Shiraya, Akihiko Takahashi)
    DOI:10.1016/j.cam.2015.06.027
    Abstract/PDF
  • [P-65]"An Asymptotic Expansion of Forward-Backward SDEs with a Perturbed Driver"
    International Journal of Financial Engineering, Vol. 2, No. 2 (2015) 1550020 (29 pages)(Akihiko Takahashi, Toshihiro Yamada)
    DOI:10.1142/S2424786315500206
    Abstract/PDF : CARF-F-363(preprint version)
  • [P-64]"A Weak Approximation with Asymptotic Expansion and Multidimensional Malliavin Weights"
    Annals of Applied Probability, Vol. 26, No.2, pp.818–856, April 2016 (Akihiko Takahashi, Toshihiro Yamada)
    DOI:10.1214/15-AAP1105
    Abstract/PDF : CARF-F-358(preprint version)
  • [P-63]"Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method"
    Asia-Pacific Financial Markets, Vol. 22- 3, pp 283-304, 2015(Masaaki Fujii, Akihiko Takahashi)
    DOI:10.1007/s10690-015-9201-7
    Abstract/PDF : CARF-F-278(preprint version)
  • [P-62]"Asymptotic Expansion Approach in Finance"
    Large Deviations and Asymptotic Methods in Finance, Vol.110, Ch.13, Springer, pp.345-411(67 pages), 2015(Akihiko Takahashi)
    DOI: 10.1007/978-3-319-11605-1
    Abstract/PDF : CIRJE-F-950,CARF-F-356 (preprint version)
  • [P-61]"An FBSDE Approach to American Option Pricing with an Interacting Particle Method"
    Asia-Pacific Financial Markets, Vol. 22-3,pp 239-260, 2015(Masaaki Fujii, Seisho Sato, Akihiko Takahashi)
    DOI:10.1007/s10690-014-9195-6
    Abstract/PDF : CARF-F-352(preprint version)
  • [P-60]"A New Improvement Scheme for Approximation Methods of Probability Density Functions"
    Journal of Computational Finance, 19(4), 73–94, Feb.26, 2016(Akihiko Takahashi, Yukihiro Tsuzuki)
    DOI:10.21314/JCF.2016.213
    Abstract/PDF : CARF-F-350(preprint version)
  • [P-59]"A Semi-group Expansion for Pricing Barrier Options"
    International Journal of Stochastic Analysis, Volume 2014(2014), ArticleID 268086, 15pages(Takashi Kato, Akihiko Takahashi, Toshihiro Yamada)
    DOI:10.1155/2014/268086
    Abstract/PDF : CARF-F-349(preprint version)
  • [P-58]"Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows"
    Quantitative Finance, Volume 15, Issue 3, 2015, pp.535-551(Masaaki Fujii, Akihiko Takahashi)
    DOI:10.1080/14697688.2014.950320
    Abstract/PDF : CARF-F-348(preprint version)
  • [P-57]"On Error Estimates for Asymptotic Expansions with Malliavin Weights --Application to Stochastic Volatility Model--"
    Mathematics of Operations Research, vol.40(3), 2015, pp. 513–541(Published Online: November 7, 2014(Akihiko Takahashi, Toshihiro Yamada))
    DOI:10.1287/moor.2014.0683
    Abstract/PDF : CARF-F-347(preprint version)
  • [P-56]"Making Mean-Variance Hedging Implementable in a Partially Observable Market"
    Quantitative Finance, Volume 14, Issue 10, 2014, pages1709-1724(Masaaki Fujii, Akihiko Takahashi)
    DOI:10.1080/14697688.2013.867453
    Abstract/PDF : CARF-F-332(preprint version)
  • [P-55]"Note on an Extension of an Asymptotic Expansion Scheme,"
    International Journal of Theoretical and Applied Finance, Volume.16, Issue.05, 2013 pp.1350031-1-1350031-23(Akihiko Takahashi, Masashi Toda)
    DOI:10.1142/S0219024913500313
    Abstract/PDF : CARF-F-312(preprint version)
  • [P-54]"Generating a Target Payoff Distribution with the Cheapest Dynamic Portfolio: an Application to Hedge Fund Replication"
    Quantitative Finance, Volume.13, Issue.10, 2013, Special Issue: Themed Issue on Fund Management, pages 1559-1573, DOI:10.1080/14697688.2013.779014(Akihiko Takahashi, Kyo Yamamoto)
    Abstract/PDF : CARF-F-308(preprint version)
  • [P-53]"An Asymptotic Expansion Formula for Up-and-Out Barrier Option Price under Stochastic Volatility Model,"
    JSIAM Letters, Vol. 5, 2013, pp.17-20. (Takashi Kato, Akihiko Takahashi, Toshihiro Yamada)
    https://www.jstage.jst.go.jp/article/jsiaml/5/0/5_17/_pdf
    Abstract/PDF : CARF-F-304(preprint version)
  • [P-52]"Pricing Multi-Asset Cross Currency Options,"
    Journal of Futures Markets, Vol.34-1, pp.1-19, lead_article, 2014 (first published online: Dec., 2012)(Kenichiro Shiraya, Akihiko Takahashi)
    DOI:10.1002/fut.21590
    Abstract/PDF : CARF-F-290(preprint version)
  • [P-51]"Derivative Pricing under Asymmetric and Imperfect Collateralization, and CVA,"
    Quantitative Finance, Vol. 13, No.5, pp.749-768, 2013 (Masaaki Fujii, Akihiko Takahashi)
    DOI:10.1080/14697688.2012.738931
    Abstract/PDF : CARF-F-265(preprint version)
  • [P-50]"Perturbative Expansion of FBSDE in an Incomplete Market with Stochastic Volatility"
    Quarterly Jornal of Finance, Vol.2, No.3 (2012) 1250015, DOI:10.1142/S2010139212500152 (Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-270 (preprint version)
  • [P-49]"Clean Valuation Framework for the USD Silo -An implication for the forthcoming Standard Credit Support Annex (SCSA)"
    associated with Chapter 6 (pp.241-282): Interest Rate Modelling under Full Collateralisation, in 「Interest Rate Modelling After The Financial Crisis,」 Risk books, Incisive Media, published in 11, June, 2013.(Masaaki Fujii, Akihiko Takahashi)
    http://riskbooks.com/interest-rate-modelling-after-the-financial-crisis
    Abstract/PDF : CARF-F-260
  • [P-48]"Collateralized CDS and Default Dependence -Implications for the Central Clearing"
    The Journal of Credit Risk, Vol.8-3, fall, 2012. (Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-246 (preprint version)
  • [P-47]"A Remark on Approximation of the Solutions to Partial Differential Equations in Finance"
    Recent Advances in Financial Engineering 2011, 2011, pp.133-181. (Akihiko Takahashi, Toshihiro Yamada)
    Abstract/PDF : CARF-F-273(preprint version)
  • [P-46]"A General Computation Scheme for a High-Order Asymptotic Expansion Method"
    International Journal of Theoretical and Applied Finance, Vol.15-6, 2012. (Akihiko Takahashi, Kohta Takehara, Masashi Toda)
    Abstract/PDF : CARF-F-272(preprint version)
  • [P-45]"A Survey on Modeling and Analysis of Basis Spreads"
    Recent Advances in Financial Engineering 2011, 2011, pp.43-53. (Masaaki Fujii, Akihiko Takahashi )
    Abstract/PDF : CARF-F-195(preprint version)
  • [P-44]"Analytical Approximation for Non-linear FBSDEs with Perturbation Scheme"
    International Journal of Theoretical and Applied Finance, Vol.15-5, 2012.(Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-248 (preprint version)
  • [P-43]"An Asymptotic Expansion with Push-Down of Malliavin Weights"
    SIAM Journal on Financial Mathematics, Volume.3, pp.95-136, 2012(Akihiko Takahashi and Toshihiro Yamada)
    Abstract/PDF : CARF-F-256 (preprint version)
  • [P-42]"Pricing Swaptions under the Libor Market Model of Interest Rates with Local-Stochastic Volatility Models"
    Wilmott , Volume 2012, Issue 61, pp.48-63, September 2012(Kenichiro Shiraya, Akihiko Takahashi, and Akira Yamazaki)
    Abstract : CARF-F-255 (preprint version)
    PDF
  • [P-41]"Pricing Discrete Barrier Options Under Stochastic Volatility"
    Asia-Pacific Financial Markets, Vol. 19 -3, pp 205-232,2012(Kenichiro Shiraya, Akihiko Takahashi, Toshihiro Yamada)
    Abstract : CARF-F-210 (preprint version)
    PDF
  • [P-40]"A Market Model of Interest Rates with Dynamic Basis Spreads in the presence of Collateral and Multiple Currencies"
    Wilmott Magazine, Volume 2011, Issue 54, pp.61-73, 2011 (Masaaki Fujii, Yasufumi Shimada, Akihiko Takahashi)
    Abstract/PDF : CARF-F-196 (preprint version)]
  • [P-39]"Modeling of Interest Rate Term Structures under Collateralization and its Implications"
    Recent Advances in Financial Engineering 2010, pp.83-104, 2011.(Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-230 (preprint version)
  • [P-38]"Choice of Collateral Currency"
    Risk Magazine, January 2011, pp.120-125, 2011 (Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-239 (preprint version)
  • [P-37]"Hedging European Derivatives with the Polynomial Variance Swap under Uncertain Volatility Environments"
    International Journal of Theoretical and Applied Finance, Vol 14-4, pp.485-505, 2011 ( Akihiko Takahashi, Yukihiro Tsuzuki, Akira Yamazaki )
    Abstract/PDF : CARF-F-238 (preprint version)
  • [P-36]"Application of a High-Order Aymptotic Expantion Scheme to Long-Term Currency Options"
    The International Journal of Business and Finance Research, vol. 5-3, pp.87-100, 2011(Kohta Takehara, Masashi Toda , Akihiko Takahashi)
    Abstract/PDF : CARF-F-225 (preprint version)
  • [P-35]"Pricing Average Options on Commodities"
    Journal of Futures Markets, Vol.31-5, pp.407-439, lead_article, 2011. (Kenichiro Shiraya , Akihiko Takahashi)
    Abstract/PDF : CARF-F-177 (preprint version)
  • [P-34]"Pricing Barrier and Average Options under Stochastic Volatility Environment"
    Journal of Computational Finance, vol.15-2,winter 2011/12, pp.111-148(Kenichiro Shiraya, Akihiko Takahashi, Masashi Toda )
    Abstract/PDF : CARF-F-176 (preprint version)
  • [P-33]"A Note on Construction of Multiple Swap Curves with and without Collateral"
    FSA Research Review, Vol.6, pp.139-157, March, 2010. (Masaaki Fujii, Yasufumi Shimada, Akihiko Takahashi )
    Abstract/PDF : CARF-F-154 (preprint version)
  • [P-32]"A Hybrid Asymptotic Expansion Scheme: an Application to Long-term Currency Options,"
    International Journal of Theoretical and Applied Finance, Vol.13-8, pp.1179-1221, 2010. (Akihiko Takahashi , Kohta Takehara)
    Abstract/PDF : CARF-F-116 (preprint version)
  • [P-31]"New Unified Computational Algorithm in a High-Order Asymptotic Expansion Scheme"
    Recent Advances in Financial Engineering, pp.231-251, 2011 ( Kohta Takehara, Akihiko Takahashi, Masashi Toda )
    Abstract/PDF : CARF-F-212 (preprint version)
  • [P-30]"A New Hedge Fund Replication Method With The Dynamic Optimal Portfolio"
    Global Journal of Business Research, Vol. 4, No. 4, pp.23-34, 2010 ( Akihiko Takahashi, Kyo Yamamoto )
    Abstract/PDF : CARF-F-211 (preprint version)
  • [P-29]"Hedge Fund Replication,"
    The Recent Trend of Hedge Fund Strategies, pp.57-96, Nova Science Publishers, Chapter 2, 2010 (Akihiko Takahashi, Kyo Yamamoto )
    Abstract/PDF : CARF-F-137 (preprint version)
  • [P-28]"Pricing and Hedging of Long-term Futures and Forward Contracts by a Three-Factor Model,"
    Quantitative Finance, Vol.12-12, pp.1811-1826, 2012(First Published 24, March 2012)(Kenichiro Shiraya, Akihiko Takahashi )
    Abstract/PDF : CARF-F-113 (preprint version)
  • [P-27]"Asymptotic Expansion Approaches in Finance: Applications to Currency Options,"
    Finance and Banking Developments, pp.185-232, Nova Science Publishers, 2010 (Akihiko Takahashi, Kohta Takehara )
    Abstract/PDF : CARF-F-165 (preprint version)
  • [P-26]"A Remark on a Singular Perturbation Method for Option Pricing under a Stochastic Volatility Model,"
    Asia-Pacific Financial Markets, Vol.16-4, pp.333-345, 2009.(Kyo Yamamoto, Akihiko Takahashi)
    Download (preprint version)
  • [P-25]"Macroeconomic Implications of Term Structures of Interest Rates under Stochastic Differential Utility with Non-Unitary EIS,"
    Asia-Pacific Financial Markets, vol.16-3, pp.231-263, 2009(Hisashi Nakamura, Wataru Nozawa, Akihiko Takahashi )
    Abstract/PDF : CARF-F-141 (preprint version)
  • [P-24]"On an Asymptotic Expansion Approach to Numerical Problems in Finance,"
    Selected Papers on Probability and Statistics, pp.199-217, 2009, American Mathematical Society
    Download (preprint version)
  • [P-23]"Probability Distribution and Option Pricing for Drawdown in a Stochastic Volatility Environment,"
    International Journal of Theoretical and Applied Finance, vol.13-2, pp.335-354, 2010(Yamamoto Kyo, Seisho Sato, Akihiko Takahashi )
    Abstract/PDF : CARF-F-138 (preprint version)
  • [P-22]"Term Structure of Interest Rates under Recursive Preferences in Continuous Time,"
    Asia-Pacific Financial Markets, Vol.15-3,4, pp.273-305, 2008. (Hisashi Nakamura, Keita Nakayama, Akihiko Takahashi )
    Abstract/PDF : CARF-F-118 (preprint version)
  • [P-21]"Efficient Static Replication of European Options under Exponential Levy Models,"
    Journal of Futures Markets, Vol.29-1, pp.1-15, 2009. (Akihiko Takahashi, Akira Yamazaki )
    Abstract/PDF : CARF-F-105 (preprint version)
  • [P-20]"A New Scheme for Static Hedging of European Derivatives under Stochastic Volatility Models,"
    Journal of Futures Markets, Vol.29-5, pp.397-413, 2009. (Akihiko Takahashi, Akira Yamazaki )
    Abstract/PDF : CARF-F-120 (preprint version)
  • [P-19]"A Factor Allocation Approach to Optimal Bond Portfolio,"
    Asia-Pacific Financial Markets, Vol.14-4, pp.299-324, 2007. (Keita Nakayama and Akihiko Takahashi)
    Abstract/PDF : CARF-F-076 (preprint version)
  • [P-18]"Fourier Transform Method with an Asymptotic Expansion Approach: an Application to Currency Options,"
    International Journal of Theoretical and Applied Finance, Vol.11-4, pp.381-401, 2008. (Akihiko Takahashi and Kohta Takehara )
    Abstract/PDF : CARF-F-097 (preprint version)
  • [P-17]"Selection and Performance Analysis of Asia-Pacific Hedge Funds,"
    The Journal of Alternative Investments, Vol.10-3, pp.7-29, Winter 2007. (Takeshi Hakamada, Akihiko Takahashi, Kyo Yamamoto)
    Download (preprint version)
  • [P-16]"An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates,"
    Asia-Pacific Financial Markets, Vol.14-1,2, pp.69-121, 2007. (Akihiko Takahashi and Kohta Takehara)
    Abstract/PDF : CARF-F-092 (preprint version)
  • [P-15]"A New Computational Scheme for Computing Greeks by the Asymptotic Expansion Approach,"
    Asia-Pacific Financial Markets, Vol.11, pp.393-430, 2006. (Ryosuke Matsuoka, Akihiko Takahashi and Yoshihiko Uchida )
    Abstract/PDF : CARF-F-044 (preprint version)
  • [P-14]"New Acceleration Schemes with the Asymptotic Expansion in Monte Carlo Simulation,"
    Advances in Mathematical Economics, Vol. 8, pp.411-431, 2006. (Takahashi Akihiko and Yoshihiko Uchida )
    Abstract/PDF : CARF-F-012 (preprint version)
  • [P-13]"Monte Carlo Simulation with Asymptotic Method,"
    Journal of Japan Statistical Society, Vol. 35-2, pp.171-203, 2005. (Takahashi Akihiko and Nakahiro Yoshida )
    Abstract/PDF : CARF-F-030 (preprint version)
  • [P-12]"An Asymptotic Expansion Approach to Computing Greeks,"
    FSA Research Review 2005, pp.72-108, 2005. (Ryosuke Matsuoka and Akihiko Takahashi)
    Download (preprint version)
  • [P-11]"Dynamic Optimality of Yield Curve Strategies,"
    International Review of Finance, Vol.4, pp.49-78, 2003, (published in 2005.). (Kobayashi, Takao, Akihiko Takahashi and Norio Tokioka )
    Abstract/PDF : CARF-F-013 (preprint version)
  • [P-10]"An Asymptotic Expansion Scheme for Optimal Investment Problems,"
    Statistical Inference for Stochastic Processes, Vol.7-2, pp.153-188, 2004. (Akihiko Takahashi, Nakahiro Yoshida)
    Abstract/PDF : CIRJE-F-248 (preprint version)
  • [P-09]"Applications of the Asymptotic Expansion Approach based on Malliavin-Watanabe Calculus in Financial Problems,"
    Stochastic Processes and Applications to Mathematical Finance, pp.195-232, 2004. (Naoto Kunitomo, Akihiko Takahashi)
    Abstract/PDF : CIRJE-F-245 (preprint version)
  • [P-08]"Option Pricing in HJM Model using an Asymptotic Expansion Method,"
    FSA Research Review 2004, pp.82-103, 2004. (Akihiko Takahashi and Shuichiro Matsushima)
    Download (preprint version)
  • [P-07]"On Validity of the Asymptotic Expansion Approach in Contingent Claim Analysis,"
    Annals of Applied Probability, Vol.13-3 August, pp.914-952, 2003. (Naoto Kunitomo, Akihiko Takahashi)
    Download (preprint version)
  • [P-06]"A Monte Carlo Filtering Approach for Estimating the Term Structure of Interest Rates,"
    Annals of the Institute of Statistical Mathematics, Vol.53, pp.50-62, 2001. (Akihiko Takahashi, Seisho Sato)
    Download (preprint version)
  • [P-05]"The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims,"
    Mathematical Finance, Vol.11, pp.117-151, 2001. (Naoto Kunitomo, Akihiko Takahashi)
    Download (preprint version)
  • [P-04]"Pricing Convertible Bonds with Default Risk,"
    The Journal of Fixed Income, Vol.11-3, December, pp.20-29, 2001. (Akihiko Takahashi, Takao Kobayashi, Naruhisa Nakagawa)
    Download (preprint version)
  • [P-03]"An Asymptotic Expansion Scheme for the Optimal Portfolio for Investment,"
    Mathematical Economics, Kokyuroku 1215, Research Institute for Mathematical Sciences(RIMS), Kyoto University, 2001. (Akihiko Takahashi, Nakahiro Yoshida)
    Download (preprint version)
  • [P-02]"A Variable Reduction Technique for Pricing Average-Rate Options,"
    International Review of Finance, Vol. 1, pp.123-142, 2000. (Hua He, Akihiko Takahashi)
    Download (preprint version)
  • [P-01]"An Asymptotic Expansion Approach to Financial Contingent Claims,"
    Asia-Pacific Financial Markets, Vol. 6, pp.115-151, 1999.
    Download (preprint version)

Award

  • [AW-04]The JAFEE BEST PAPER AWARD [theoretical study] in year 2017
    Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method,
    Asia-Pacific Financial Markets, Vol. 22- 3, pp 283-304, 2015(Masaaki Fujii, Akihiko Takahashi)
    DOI:10.1007/s10690-015-9201-7
    Abstract/PDF
  • [AW-03]The JAFEE BEST PAPER AWARD [theoretical study] in year 2015
    Pricing Discrete Barrier Options Under Stochastic Volatility,
    Asia-Pacific Financial Markets, Vol. 19 -3, pp 205-232,2012(Kenichiro Shiraya, Akihiko Takahashi, Toshihiro Yamada)
    Abstract/PDF
  • [AW-02]47th Nikkei Prize for Economics Books
    Foundation of Mathematical Finance -Applications of Malliavin Calculus and Asymptotic Expansions- (in Japanese),
    Toyo Keizai Inc., July 2003 (with Naoto Kunitomo)
  • [AW-01]Best Poster Session Presentation Awards
    The International Symposium on Frontiers of Time Series Modeling, The Insitiute of Statisitical Mathematics, February 2000 (with Seisho Sato)

Edited Books

  • [EB-02]Recent Advances in Financial Engineering 2012
    Proceedings of the International Workshop on Finance 2012, World Scientific, Feb. 2014.
    (Edited by Akihiko Takahashi, Yukio Muromachi, Takashi Shibata)
  • [EB-01]Recent Advances in Financial Engineering 2011
    Proceedings of the International Workshop on Finance 2011, World Scientific, Jun. 2012.
    (Edited by Akihiko Takahashi,Yukio Muromachi, Hidetaka Nakaoka)


Working Papers

  • [WP-35]"Stochastic Differential Game in High Frequency Market"
    2018.05. (Taiga Saito, Akihiko Takahashi)
    Abstract/PDF : CARF-F-437
  • [WP-28]"Solving Backward Stochastic Differential Equations by Connecting the Short-term Expansions"
    2016.11. (Masaaki Fujii, Akihiko Takahashi)
    Abstract/PDF : CARF-F-398
  • [WP-25]"On Approximation of the Solutions to Partial Differential Equations in Finance"
    2011.8. (Akihiko Takahashi, Toshihiro Yamada )
    Abstract/PDF : CARF-F-249
  • [WP-22]"Rebalancing Super-Replications,"
    2011.4. (Akihiko Takahashi, Yukihiro Tsuzuki )
    Abstract/PDF : CARF-F-245
  • [WP-20]"Collateral Posting and Choice of Collateral Currency -Implications for Derivative Pricing and Risk Management-"
    2010.05. (Masaaki Fujii, Yasufumi Shimada, Akihiko Takahashi )
    Abstract/PDF : CARF-F-216
  • [WP-15]"An Asymptotic Expansion with Malliavin Weights: An Application to Pricing Discrete Barrier Options"
    2009.11. (Akihiko Takahashi, Toshihiro Yamada)
    Download (preprint version)
  • [WP-11]"A Note on Pricing Barrier Options under a Stochastic Volatility Model -An Asymptotic Expansion with Static Hedging-"
    2009.7. (Kenichiro Shiraya, Akihiko Takahashi, Masashi Toda)
    Download (preprint version)
  • [WP-09]"Generating a Target Payoff Distribution with the Cheapest Dynamic Portfolio: an Application to Hedge Fund Replication"
    CARF-F-150 (CIRJE-F-624), 2009.6. (Akihiko Takahashi, Kyo Yamamoto )
    Abstract/PDF : CARF-F-150
  • [WP-08]"Computation in an Asymptotic Expansion Method,"
    CARF-F-149 (CIRJE-F-621), 2009.5. (Akihiko Takahashi, Kohta Takehara, Masashi Toda)
    Abstract/PDF : CIRJE-F-621
  • [WP-06]"An Asymptotic Expansion Approach in Finance,"
    CARF-F-102(CIRJE-F-509), 2007.8(revised in 2008.11).
    Abstract/PDF : CARF-F-102
  • [WP-05]"Pricing Currency Options with a Market Model of Interest Rates under Jump-Diffusion Stochastic Volatility Processes of Spot Exchange Rates,"
    CARF-F-082, 2006.10. (Akihiko Takahashi, Kota Takehara, Akira Yamazaki )
    Abstract/PDF : CARF-F-082
  • [WP-04]A Note on Computing Greeks by an Asymptotic Expansion Scheme,
    2005.11.
  • [WP-03]"Style Analysis Based on a General State Space Model and Monte Carlo Filter,"
    CARF-F-032(CIRJE-F-337), 2005.4(revised in 2007.11). (Kobayashi Takao, Seisho Sato, Akihiko Takahashi )
    Abstract/PDF : CARF-F-032
  • [WP-02]"Pricing of Securities with Default Risks,"
    Technical Report, The Industrial Bank of Japan, 1997.
  • [WP-01]"Practitioner's Recipe for Number-Theoretic Quasi Random Sequence Generator,"
    Technical Report, The Industrial Bank of Japan, 1997. (with Keiichiro Ikeda and Masakazu Ando)
  • [DP-01]"Asymptotic Expansion approach to the Valuation of the Interst Rates Contingent Claims ,"
    CIRJE DP 95-F-19, 1995. (Naoto Kunitomo and Akihiko Takahashi) Download
  • [D-00] "Essays on the Valuation Problems of Contingent Claims,"
    Ph.D. Dissertation(preliminary version) , University of California, Berkeley, 1995 Download


Ph.D. Dissertation and Master Paper

  • [DM-02]"Essays on the Valuation Problems of Contingent Claims,"
    Ph.D. Dissertation, University of California, Berkeley, 1995.
  • [DM-01]"Valuation of Interest Rates Contingent Claims Based on HJM Model,"
    Unpublished Master Paper, Haas School of Business, University of California, Berkeley, 1992.