Hedging Derivative Securities and Incomplete Markets: An ε-Arbitrage Approach

References

  • Aït-Sahalia Y., Lo A. Nonparametric estimation of state-price densities implicit in financial asset prices. J. Finance (1998) 52:499–548CrossrefGoogle Scholar
  • Aiyagari R. Uninsured idiosyncratic risk and aggregate saving. Quart. J. Econom. (1994) 109:659–684CrossrefGoogle Scholar
  • Aiyagari R., Gertler M. Asset returns with transactions costs and uninsured individual risk. J. Monetary Econom. (1991) 27:311–331CrossrefGoogle Scholar
  • Amin K. Jump diffusion option valuation in discrete time. J. Finance (1993) 48:1833–1863CrossrefGoogle Scholar
  • Amin K., Ng V. Option valuation with systematic stochastic volatility. J. Finance (1993) 48:881–910CrossrefGoogle Scholar
  • Avellaneda M., Paras A. Dynamic hedging portfolios for derivative securities in the presence of large transactions costs. Appl. Math. Finance (1994) 1:165–193CrossrefGoogle Scholar
  • Ball C., Torous W. On jumps in common stock prices and their impact on call option pricing. J. Finance (1985) 40:155–173CrossrefGoogle Scholar
  • Banz R., Miller M. Prices for state-contingent claims: some estimates and applications. J. Bus. (1978) 51:653–672CrossrefGoogle Scholar
  • Bensaid B., Lesne J., Pages H., Scheinkman J. Derivative Asset Pricing with Transaction Costs. Math. Finance (1992) 2:63–86CrossrefGoogle Scholar
  • Bertsekas D.Dynamic Programming and Optimal Control (1995) I(Athena Scientific, Belmont, MA) Google Scholar
  • Bertsimas D., Kogan L., Lo A. When is time continuous?. J. of Financial Econom. (2000) 55:173–204CrossrefGoogle Scholar
  • Bick A. Quadratic-variation-based dynamic strategies. Management Sci. (1995) 41(4):722–732LinkGoogle Scholar
  • Black F., Scholes M. Pricing of options and corporate liabilities. J. of Political Econom. (1973) 81:637–654CrossrefGoogle Scholar
  • Bodie Z., Kane A., Marcus A.Investments (1999) 4th ed.(Irwin/McGraw-Hill, Boston, MA) Google Scholar
  • Boyle P., Emanuel D. Discretely adjusted option hedges. J. Financial Econom. (1980) 8:259–282CrossrefGoogle Scholar
  • Boyle P., Vorst T. Option replication in discrete time with transaction costs. J. Finance (1992) 47:271–294CrossrefGoogle Scholar
  • Brandt M. Multiperiod hedging contingent claims. (1998) . Working Paper, Wharton School, University of PennsylvaniaGoogle Scholar
  • Breeden D. An intertemporal capital pricing model with stochastic investment opportunities. J. Financial Econom. (1979) 7:265–296CrossrefGoogle Scholar
  • Breeden D., Litzenberger R. State contingent prices implicit in option prices. J. Bus. (1978) 51:621–651CrossrefGoogle Scholar
  • Brennan M. The pricing of contingent claims in discrete-time models. J. Finance (1979) 34:53–68CrossrefGoogle Scholar
  • Cox J., Ross S. The valuation of options for alternative stochastic processes. J. Financial Econom. (1976) 3:145–166CrossrefGoogle Scholar
  • Cox J., Ingersoll J., Ross S. An intertemporal general equilibrium model of asset prices. Econometrica (1985) 53:363–384CrossrefGoogle Scholar
  • Davis M., Panas V., Zariphopoulou T. European option pricing with transaction costs. SIAM J. of Control Optim. (1993) 31:470–493CrossrefGoogle Scholar
  • Derman E., Kani I. Riding on the smile. RISK (1994) 7:32–39Google Scholar
  • Duffie D. Stochastic equilibria with incomplete financial markets. J. Economic Theory (1987) 41:405–416CrossrefGoogle Scholar
  • Duffie D.Dynamic Asset Pricing Theory (1996) 2nd edition(Princeton University Press, Princeton, NJ) Google Scholar
  • Duffie D., Huang C. Implementing Arrow-Debreu equilibria by continuous trading of few long-lived securities. Econometrica (1985) 53:1337–1356CrossrefGoogle Scholar
  • Duffie D., Jackson M. Optimal hedging and equilibrium in a dynamic futures market. J. Econom. Dynamics Control (1990) 14:21–33CrossrefGoogle Scholar
  • Duffie D., Richardson M. Mean-variance hedging in continuous time. Ann. Appl. Probab. (1991) 1:1–15CrossrefGoogle Scholar
  • Duffie D., Shafer W. Equilibrium in incomplete markets. I. A basic model of generic existence. J. Math. Econom. (1985) 14:285–300CrossrefGoogle Scholar
  • Duffie D., Shafer W. Equilibrium in incomplete markets. II. Generic existence in stochastic economies. J. Math. Econom. (1986) 15:199–216CrossrefGoogle Scholar
  • Dumas B., Flemming J., Whaley R. E. Implied volatility functions: empirical tests. (1995) . Working paper, Fuqua School of Business, Duke UniversityGoogle Scholar
  • Dupire B. Pricing with a smile. RISK (1994) 7(Jan):18–20Google Scholar
  • Dybvig P., Huang C. Nonnegative wealth, absence of arbitrage, and feasible consumption plans. Rev. Financial Stud. (1988) 1:377–401CrossrefGoogle Scholar
  • Edirisinghe C., Naik V., Uppal R. Optimal replication of options with transaction costs and trading restrictions. J. Financial and Quant. Anal. (1993) 28:117–138CrossrefGoogle Scholar
  • Fleming W., Rishel R.Deterministic and Stochastic Optimal Control (1975) (Springer-Verlag, New York) CrossrefGoogle Scholar
  • Föllmer H., Sonderman D., Hildebrand W., Mas-Colell A. Hedging of non-redundant contingent-claims. Contributions to Mathematical Economics, in Honor of Gérard Debreu (1986) (North-Holland, Amsterdam, The Netherlands) Google Scholar
  • Garman M. A general theory of asset valuation under diffusion state processes. (1976) . Working Paper No. 50, University of California, BerkeleyGoogle Scholar
  • Geske R. The valuation of compound options. J. Financial Econom. (1979) 7:63–81CrossrefGoogle Scholar
  • Goldman B., Sosin H., Gatto M. Path dependent options: Buy at the low, sell at the high. J. Finance (1979) 34:1111–1127Google Scholar
  • Grannan E., Swindle G. Minimizing transaction costs of option hedging strategies. Math. Finance (1996) 6:341–364CrossrefGoogle Scholar
  • Harrison J., Kreps D. Martingales and arbitrage in multi-period securities markets. J. Econom. Theory (1979) 20:381–408CrossrefGoogle Scholar
  • Hart O. On the existence of equilibrium in a securities model. J. Econom. Theory (1974) 9:293–311CrossrefGoogle Scholar
  • He H., Modest D. Market frictions and consumption-based asset pricing. J. Political Econom. (1995) 103:94–117CrossrefGoogle Scholar
  • Heaton J., Lucas D. The effects of incomplete insurance markets and trading costs in a consumption-based asset pricing model. J. Econom. Dynamics Control (1992) 16:601–620CrossrefGoogle Scholar
  • Heaton J., Lucas D. Evaluating the effects of incomplete markets on risk sharing and asset pricing. J. Political Econom. (1996) 104:443–487CrossrefGoogle Scholar
  • He H., Pearson N. Consumption and portfolio policies with incomplete markets and short-sale constraints. J. Econom. Theory (1991) 54:259–304CrossrefGoogle Scholar
  • Henrotte P. Transactions costs and duplication strategies. (1993) . Working paper, Stanford UniversityGoogle Scholar
  • Hodges S., Neuberger A. Optimal replication of contingent claims under transaction costs. Rev. Futures Markets (1989) 8:222–239Google Scholar
  • Huang C. Information structure and equilibrium asset prices. J. Econom. Theory (1985a) 53:33–71CrossrefGoogle Scholar
  • Huang C. Information structures and viable price systems. J. Math. Econom. (1985b) 14:215–240CrossrefGoogle Scholar
  • Huang C. An intertemporal general equilibrium asset pricing model: the case of diffusion information. Econometrica (1987) 55:117–142CrossrefGoogle Scholar
  • Hull J., White A. The pricing of options on assets with stochastic volatilities. J. Finance (1987) 42:281–300CrossrefGoogle Scholar
  • Hutchinson J., Lo A., Poggio T. A nonparametric approach to the pricing and hedging of derivative securities via learning networks. J. Finance (1994) 49:851–889CrossrefGoogle Scholar
  • Jarrow R., Rudd A. Approximate option valuation for arbitrary stochastic processes. J. Financial Econom. (1982) 10:347–369CrossrefGoogle Scholar
  • Johnson H., Shanno D. Option pricing when the variance is changing. J. Financial Quant. Anal. (1987) 22:143–151CrossrefGoogle Scholar
  • Karatzas I., Shreve S.Brownian Motion and Stochastic Calculus (1988) (Springer-Verlag, New York) CrossrefGoogle Scholar
  • Leland H. Option pricing and replication with transaction costs. J. Finance (1985) 40:1283–1301CrossrefGoogle Scholar
  • Longstaff F. An empirical examination of the risk-neutral valuation model. (1992) . Working paper, College of Business, Ohio State University, and the Anderson Graduate School of Management, UCLAGoogle Scholar
  • Longstaff F. Option pricing and the martingale restriction. Rev. Financial Stud. (1995) 8:1091–1124CrossrefGoogle Scholar
  • Lucas D. Asset pricing with undiversifiable income risk and short sales constraints: Deepening the equity premium puzzle. J. Monetary Econom. (1994) 34:325–341CrossrefGoogle Scholar
  • Lucas R. Asset prices in an exchange economy. Econometrica (1978) 46:1426–1446CrossrefGoogle Scholar
  • Magill M., Quinzii M.Theory of Incomplete Markets (1996) (MIT Press, Cambridge, MA) Google Scholar
  • Merton R. Optimum consumption and portfolio rules in a continuous-time model. J. Econom. Theory (1971) 3:373–413CrossrefGoogle Scholar
  • Merton R. An intertemporal capital asset pricing model. Econometrica (1973) 41:867–887CrossrefGoogle Scholar
  • Merton R. Option pricing when underlying stock returns are discontinuous. J. Financial Econom. (1976) 3:125–144CrossrefGoogle Scholar
  • Merton R.Continuous-Time Finance (1992) (Blackwell Publishers, Cambridge, MA) Google Scholar
  • Neuberger A., Chance D., Trippi R. Option replication with transaction costs: an exact solution for the pure jump process. Advances in Futures and Options Research (1994) 7(JAI Press, Greenwich, CT) Google Scholar
  • Rady S. State prices implicit in valuation formulae for derivative securities: a martingale approach. (1994) . Discussion Paper No. 181, LSE Financial Markets Group, London, UKGoogle Scholar
  • Rubinstein M. The valuation of uncertain income streams and the pricing of options. Bell J. Economics (1976) 7:407–425CrossrefGoogle Scholar
  • Rubinstein M. Displaced diffusion option pricing. J. Finance (1983) 38:213–217CrossrefGoogle Scholar
  • Rubinstein M. Implied binomial trees. J. Finance (1994) 49:771–818CrossrefGoogle Scholar
  • Schäl M. On quadratic cost criteria for option hedging. Math. Oper. Res. (1994) 19:121–131LinkGoogle Scholar
  • Scheinkman J., Weiss L. Borrowing constraints and aggregate economic activity. Econometrica (1986) 54:23–45CrossrefGoogle Scholar
  • Schweizer M. Mean-variance hedging for general claims. Ann. Appl. Probab. (1992) 2:171–179CrossrefGoogle Scholar
  • Schweizer M. Variance-optimal hedging in discrete time. Math. Oper. Res. (1995) 20:1–31LinkGoogle Scholar
  • Shimko D. Bounds of probability. RISK (1993) 6:33–37Google Scholar
  • Stroud A.Approximate Calculation of Multiple Integrals (1971) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
  • Stutzer M. A simple nonparametric approach to derivative security valuation. J. Finance (1995) . ForthcomingGoogle Scholar
  • Telmer C. Asset-pricing puzzles and incomplete markets. J. Finance (1993) 48:1803–1832CrossrefGoogle Scholar
  • Toft K. On the mean-variance tradeoff in option replication with transactions costs. J. Financial Quant. Anal. (1996) 31:233–263CrossrefGoogle Scholar
  • Weil P. Equilibrium asset prices with undiversifiable labor income risk. J. Econom. Dynamics and Control (1992) 16:769–790CrossrefGoogle Scholar
  • Whalley E., Wilmott P. Hedge with an edge. RISK (1994) 7:82–85Google Scholar
  • Wiggins J. Option values under stochastic volatility: theory and empirical estimates. J. Financial Econom. (1987) 5:351–372CrossrefGoogle Scholar
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