Numeraire-Invariant Quadratic Hedging and Mean–Variance Portfolio Allocation
Published Online:24 May 2023https://doi.org/10.1287/moor.2023.1374
References
- [1] (2005) An extension of mean–variance hedging to the discontinuous case. Finance Stochastics 9(1):129–139.Crossref, Google Scholar
- [2] (2003) Generalized Inverses: Theory and Applications, 2nd ed., CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC, vol. 15 (Springer, New York).Google Scholar
- [3] (2001) Hedging derivative securities and incomplete markets: An ϵ-arbitrage approach. Oper. Res. 49(3):372–397.Link, Google Scholar
- [4] (2020) Convex duality and Orlicz spaces in expected utility maximization. Math. Finance 30(1):85–127.Crossref, Google Scholar
- [5] (2009) Characterization of the oblique projector U(VU)†V with application to constrained least squares. Linear Algebra Appl. 431(9);1564–1570.Crossref, Google Scholar
- [6] (2022) The law of one price in mean–variance hedging. Preprint, submitted October 27, https://arxiv.org/abs/2210.15613.Google Scholar
- [7] (2007) On the structure of general mean–variance hedging strategies. Ann. Probab. 35(4):1479–1531.Crossref, Google Scholar
- [8] (2009) Hedging by sequential regressions revisited. Math. Finance 19(4):591–617.Crossref, Google Scholar
- [9] (2023) Simplified calculus for semimartingales: Multiplicative compensators and changes of measure. Stochastic Processes Appl. 161:572–602.Google Scholar
- [10] (2021) Pure-jump semimartingales. Bernoulli 27(4):2624–2648.Crossref, Google Scholar
- [11] (1998) ℰ-martingales and their applications in mathematical finance. Ann. Probab. 26(2):853–876.Crossref, Google Scholar
- [12] (2013) Cone-constrained continuous-time Markowitz problems. Ann. Appl. Probab. 23(2):764–810.Crossref, Google Scholar
- [13] (1996) Attainable claims with p’th moments. Ann. Inst. H. Poincaré Probab. Statist. 32(6):743–763.Google Scholar
- [14] (1998) The fundamental theorem of asset pricing for unbounded stochastic processes. Math. Ann. 312(2):215–250.Crossref, Google Scholar
- [15] (1997) Weighted norm inequalities and hedging in incomplete markets. Finance Stochastics 1:181–227.Crossref, Google Scholar
- [16] (2019) Mathematical Finance (Springer Finance, Cham, Switzerland).Crossref, Google Scholar
- [17] (2003) A complete explicit solution to the log-optimal portfolio problem. Ann. Appl. Probab. 13(2):774–799.Crossref, Google Scholar
- [18] (1998) Mean–variance hedging and numéraire. Math. Finance 8(3):179–200.Crossref, Google Scholar
- [19] (1987) The role of conditioning information in deducing testable restrictions implied by dynamic asset pricing models. Econometrica 55(3):587–613.Crossref, Google Scholar
- [20] (1979) Martingales and arbitrage in multiperiod securities market. J. Econom. Theory 20(3):381–408.Crossref, Google Scholar
- [21] (1979) Calcul Stochastique et Problèmes de Martingales, Lecture Notes in Mathematics, vol. 714 (Springer, Berlin).Crossref, Google Scholar
- [22] (2003) Limit Theorems for Stochastic Processes, 2nd ed., Comprehensive Studies in Mathematics, vol. 288 (Springer, Berlin).Crossref, Google Scholar
- [23] (2014) Asymptotic power utility-based pricing and hedging. Math. Financial Econom. 8(1):1–28.Crossref, Google Scholar
- [24] (2000) Optimal dynamic portfolio selection: Multiperiod mean–variance formulation. Math. Finance 10(3):387–406.Crossref, Google Scholar
- [25] (2004) Quadratic hedging and mean–variance portfolio selection with random parameters in an incomplete market. Math. Oper. Res. 29(1):132–161.Link, Google Scholar
- [26] (2005) Mean–variance hedging when there are jumps. SIAM J. Control Optim. 44(5):1893–1922.Crossref, Google Scholar
- [27] (1995) Föllmer–Schweizer decomposition and mean-variance hedging for general claims. Ann. Probab. 23(2):605–628.Crossref, Google Scholar
- [28] (2000) Diffusions, Markov Processes, and Martingales, vol. 2, Cambridge Mathematical Library (Cambridge University Press, Cambridge, UK).Google Scholar
- [29] (1994) Approximating random variables by stochastic integrals. Ann. Probab. 22(3):1536–1575.Crossref, Google Scholar
- [30] (1995) On the minimal martingale measure and the Föllmer–Schweizer decomposition. Stochastic Anal. Appl. 13(5):573–599.Crossref, Google Scholar
- [31] (1996) Approximation pricing and the variance-optimal martingale measure. Ann. Probab. 24(1):206–236.Crossref, Google Scholar
- [32] (2010) Mean–variance hedging. Encyclopedia of Quantitative Finance (Wiley, Chichester), 1177–1180.Crossref, Google Scholar
- [33] (2004) Pricing Asian options in a semimartingale model. Quant. Finance 4(2):170–175.Crossref, Google Scholar
- [34] (2014) Continuous-time mean–variance portfolio selection with only risky assets. Econom. Model. 36:244–251.Crossref, Google Scholar
- [35] (1978) Sous-espaces denses dans L1 ou H1 et représentation des martingales. Séminaire de Probabilités, XII, Lecture Notes in Mathematics, vol. 649 (Springer, Berlin), 265–309.Google Scholar
- [36] (2003) Markowitz’s mean–variance portfolio selection with regime switching: A continuous-time model. SIAM J. Control Optim. 42(4):1466–1482.Crossref, Google Scholar

