메뉴 건너뛰기




Volumn 46, Issue 1, 2002, Pages 55-78

Smooth solutions to optimal investment models with stochastic volatilities and portfolio constraints

(1)  Pham, Huyên a,b  

a CNRS   (France)
b CREST   (France)

Author keywords

Dynamic programming equation; Logarithm transformation; Optimal portfolio; Semilinear partial differential equation; Smooth solution; Stochastic volatility

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; DYNAMIC PROGRAMMING; FUNCTION EVALUATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; QUADRATIC PROGRAMMING; STOCHASTIC PROGRAMMING;

EID: 0141904066     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-002-0735-5     Document Type: Article
Times cited : (87)

References (19)
  • 1
    • 0002720622 scopus 로고
    • Optimal consumption and portfolio policies when asset prices follow a diffusion process
    • J. Cox and C. Huang (1989) Optimal consumption and portfolio policies when asset prices follow a diffusion process, Journal of Economic Theory, 49:33-83.
    • (1989) Journal of Economic Theory , vol.49 , pp. 33-83
    • Cox, J.1    Huang, C.2
  • 3
    • 0018156010 scopus 로고
    • Exit probabilities and optimal stochastic control
    • W. Fleming (1978) Exit probabilities and optimal stochastic control, Applied Mathematics and Optimization, 4:329-346.
    • (1978) Applied Mathematics and Optimization , vol.4 , pp. 329-346
    • Fleming, W.1
  • 7
    • 0003580301 scopus 로고    scopus 로고
    • Derivatives in Financial Markets with Stochastic Volatility
    • Cambridge University Press, Cambridge
    • J.P. Fouque, G. Papanicolaou, and R. Sircar (2000), Derivatives in Financial Markets with Stochastic Volatility, Cambridge University Press, Cambridge.
    • (2000)
    • Fouque, J.P.1    Papanicolaou, G.2    Sircar, R.3
  • 8
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatilities
    • J. Hull and A. White (1987) The pricing of options on assets with stochastic volatilities, Journal of Finance, 42:281-300.
    • (1987) Journal of Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 12
    • 0023455980 scopus 로고
    • Optimal portfolio and consumption decisions for a small investor on a finite horizon
    • I. Karatzas, J. Lehoczky and S. Shreve (1987) Optimal portfolio and consumption decisions for a small investor on a finite horizon, SIAM Journal on Control and Optimization, 25:1557-1586.
    • (1987) SIAM Journal on Control and Optimization , vol.25 , pp. 1557-1586
    • Karatzas, I.1    Lehoczky, J.2    Shreve, S.3
  • 13
    • 0003690985 scopus 로고
    • Linear and quasilinear equations of parabolic type
    • American Mathematical Society, Providence, RI
    • O. Ladyzhenskaya, V. Solonnikov and N. Uralseva (1968): Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society, Providence, RI.
    • (1968)
    • Ladyzhenskaya, O.1    Solonnikov, V.2    Uralseva, N.3
  • 15
    • 0011090049 scopus 로고
    • Optimal consumption and portfolio rules in a continuous time model
    • R. Merton (1971): Optimal consumption and portfolio rules in a continuous time model, Journal of Economic Theory, 3:373-413.
    • (1971) Journal of Economic Theory , vol.3 , pp. 373-413
    • Merton, R.1
  • 16
    • 24944554085 scopus 로고
    • Option pricing when the variance changes randomly: Theory, estimation and an application
    • L. Scott (1987) Option pricing when the variance changes randomly: theory, estimation and an application, Journal of Financial and Quantitative Analysis, 22:419-438.
    • (1987) Journal of Financial and Quantitative Analysis , vol.22 , pp. 419-438
    • Scott, L.1
  • 17
    • 0001284767 scopus 로고
    • Stock price distributions with stochastic volatility
    • E. Stein and J. Stein (1991) Stock price distributions with stochastic volatility, Review of Financial Studies, 4;727-752.
    • (1991) Review of Financial Studies , vol.4 , pp. 727-752
    • Stein, E.1    Stein, J.2
  • 19
    • 0010592742 scopus 로고    scopus 로고
    • A solution approach to valuation with unhedgeable risks
    • T. Zariphopoulou (2001) A solution approach to valuation with unhedgeable risks, Finance and Stochastics, 5:61-82.
    • (2001) Finance and Stochastics , vol.5 , pp. 61-82
    • Zariphopoulou, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.