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A new equilibrium trading model with asymmetric information

1 School of Mathematics, Jilin University, Changchun, Jilin 130012, China, and School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang 310027, China
2 GE Global Research, Niskayuna, NY, 12309, USA
3 Centre for Actuarial Studies, Department of Economics, The University of Melbourne, VIC 3010, Australia

Special Issue: Computational Finance and Insurance

Taking arbitrage opportunities into consideration in an incomplete market, dealers will pricebonds based on asymmetric information. The dealer with the best offering price wins the bid. The riskpremium in dealer’s offering price is primarily determined by the dealer’s add-on rate of change tothe term structure. To optimize the trading strategy, a new equilibrium trading model is introduced.Optimal sequential estimation scheme for detecting the risk premium due to private inforamtion isproposed based on historical prices, and the best bond pricing formula is given with the accordingoptimal trading strategy. Numerical examples are provided to illustrate the economic insights underthe certain stochastic term structure interest rate models.
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References

1.Black F, Scholes M (1973) The pricing of options and corporate liabilities. J Political Economy 81: 637–659.    

2.Black F, Cox J (1976) Valuing corporate securities: Some e ects of bond indenture provisions. J Financ 31: 351–367.    

3.Brennan M, Schwartz E (1977) Savings bonds, retractable bonds, and callable bonds. J Financ Econo 3: 133–155.

4.Brigo D, Mercurio F (2007) Interest rate models-theory and practice: with smile, inflation and credit. Springer Science & Business Media.

5.Chan K, Karolyi G, Longsta F, et al. (1992) An empirical comparison of alternative models of the short-term interest rate. J Financ 47: 1209–1227.    

6.Chang G, Sundaresan S, Asset prices and default-free term structure in an equilibrium model of default, SSRN, 1999. Available from: https://papers.ssrn.com/sol3/papers.cfm?abstract id=222790.

7.Cox J, Ingersoll J (1985) A theory of the term structure of interest rates. Econometrica 53: 385–407.    

8.Cox J, Ingersoll J, Ross S (1980) An analysis of variable rate loan contracts. J Financ 35: 389–403.    

9.Cox J, Ross S (1976) The valuation of options for alternative stochastic processes. J Financ Econ 3: 145–166.    

10.Dothan U (1978) On the term structure of interest rates. J Financ Econ 6: 59–69.    

11.Duffie D, FlemingW, Soner H (1997) Hedging in incomplete markets with HARA utility. J Econ Dyn Control 21: 753–782.    

12.Duffie D, Kan R (1996) A yield-factor model of interest rates. Math Financ 6: 379–406.    

13.Duffie D, Lando D (2001) Term structure of credit spreads with incomplete accounting information. Econometrica 69: 633–664.    

14.Fleming W, Rishel R (1975) Deterministic and Stochastic Optimal Control, Springer-Verlag, New York.

15.Fleming W, Stein J (2004) Stochastic optimal control, international finance and debt. J Bank Financ 28: 979–996.    

16.Gao J (2008) Stochastic optimal control of DC pension funds. Insur Math Econ 42: 1159–1164.    

17.Heath D, Jarrow R, Morton A (1992) Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation. Econometrica 60: 77–105.    

18.Ho T, Lee S (1986) Term structure moments and pricing interest rate contingent claims. J Financ 41: 1011–1029.    

19.Hull J, White A (1990) Pricing interest-rate derivative securities. RFS 3: 573–592.

20.Ji D, Yin G (1993) Weak convergence of term structure movements and the connection of prices and interest rates. Stochastic Anal Appl 11: 61–76.    

21.Karoui N, QuenezM(1995) Dynamic programming and pricing of contingent claims in an incomplete market. SIAM J Control Optim 33: 29–66.

22.Korn R, Kraft H (2002) A stochastic control approach to portfolio problems with stochastic interest rates. SIAM J Control Optim 40: 1250–1269.    

23.Liptser R, Shiryayev A (1974) Statistics of Random Processes, Springer-Verlag, New York.

24.Litterman R, Scheinkman J (1991) Common Factors Affecting Bond Returns. J Fixed Income 3: 54–61.

25.Madan D, Unal H (2000) A Two-factor hazard rate model for pricing risky debt and the term structure of credit spreads. J Financ Quant Anal 35: 43–65.    

26.Subrahmanyam M (1996) The Term structure of interest rates: alternative approaches and their implications for the valuation of contingent claims. GENEVA PAPERS Risk Insurance Theory, 21: 7–28.    

27.Taksar M, Zhou X (1998) Optimal risk and dividend control for a company with a debt liability. Insur Math Econ 22: 105–122.    

28.Vasicek O (1977) An equilibrium characterization of the term structure, J Finan Econom 5: 177–188.

29.Vecer J (2001) A new PDE approach for pricing arithmetic average Asian options, J Comput Financ 4: 105–113.

30.Zhou C (2001) The term structure of credit spreads with jump risk. J Bank Financ 25: 2015–2040.    

© 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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