Applications of Gram-Charlier expansion and bond moments for pricing of interest rates and credit risk

被引:15
|
作者
Tanaka, Keiichi [1 ]
Yamada, Takeshi [2 ]
Watanabe, Toshiaki [3 ]
机构
[1] Tokyo Metropolitan Univ, Grad Sch Social Sci, Tokyo 158, Japan
[2] London Sch Econ & Polit Sci, Dept Stat, London, England
[3] Hitotsubashi Univ, Inst Econ Res, Tokyo, Japan
关键词
Swaption; CMS; Affine term structure model; Convexity adjustment; Credit derivative; Survival contingent measure; TERM STRUCTURE MODELS; SWAPTIONS; OPTIONS;
D O I
10.1080/14697680903193371
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
The purpose of this paper is to demonstrate the powerful and flexible applicability of the Gram-Charlier expansion to pricing of a wide variety of interest rate related products involving interest rate risk and credit risk. In this paper, we develop easily implemented approximations of the prices of several derivatives; swaptions, CMS, CMS options, and vulnerable options. Associated with the default risk, a survival contingent forward measure is constructed.
引用
收藏
页码:645 / 662
页数:18
相关论文
共 50 条
  • [1] Option pricing under truncated Gram-Charlier expansion
    Lin, Shin-Hung
    Huang, Hung-Hsi
    Li, Sheng-Han
    [J]. NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE, 2015, 32 : 77 - 97
  • [2] Retrieving risk neutral densities based on risk neutral moments through a Gram-Charlier series expansion
    Rompolis, Leonidas S.
    Tzavalis, Elias
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (1-2) : 225 - 234
  • [3] EFFICIENCY OF THE METHOD OF MOMENTS AND THE GRAM-CHARLIER TYPE-A DISTRIBUTION
    SHENTON, LR
    [J]. BIOMETRIKA, 1951, 38 (1-2) : 58 - 73
  • [4] Gram-Charlier densities: Maximum likelihood versus the method of moments
    Del Brio, Esther B.
    Perote, Javier
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2012, 51 (03): : 531 - 537
  • [5] The pricing of loan insurance based on the Gram-Charlier option model
    Zhang, Yaojie
    Wei, Yu
    Shi, Benshan
    [J]. CHINA FINANCE REVIEW INTERNATIONAL, 2018, 8 (04) : 425 - 440
  • [6] REGIONS OF POSITIVE AND UNIMODAL SERIES EXPANSION OF EDGEWORTH AND GRAM-CHARLIER APPROXIMATIONS
    DRAPER, NR
    TIERNEY, DE
    [J]. BIOMETRIKA, 1972, 59 (02) : 463 - 465
  • [7] Condition monitoring and diagnosis of rotating machinery by gram-Charlier expansion of vibration signal
    Toyota, T
    Niho, T
    Chen, P
    [J]. KES'2000: FOURTH INTERNATIONAL CONFERENCE ON KNOWLEDGE-BASED INTELLIGENT ENGINEERING SYSTEMS & ALLIED TECHNOLOGIES, VOLS 1 AND 2, PROCEEDINGS, 2000, : 541 - 544
  • [8] GRAM-CHARLIER EXPANSION FOR DYNAMIC FORM-FACTORS OF ATOMIC-NUCLEI
    KORCHIN, AY
    SHEBEKO, AV
    [J]. ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1982, 308 (03): : 267 - 275
  • [9] Note on the distributions of the standard deviations and second moments of samples from a Gram-Charlier population
    Baker, GA
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1935, 6 : 127 - 130
  • [10] Technical note: Modified variance incorporating high-order moments in risk measure with Gram-Charlier returns
    Leon-Camacho, Bernardo
    Mora-Valencia, Andres
    Perote, Javier
    [J]. ENGINEERING ECONOMIST, 2022, 67 (03): : 218 - 233