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Department of
Mathematics 203 Avery Hall University of Nebraska Lincoln Lincoln, NE 68588-0323 402-472-3731 (voice) 402-472-8466 (fax) |
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Office Hours: 308 Avery
Monday-Wednesday-Friday: 10:30 AM - 11:20 AM.
Other times by appointment, please email me to arrange a time.
Brief History of Mathematical Models in Finance Theory
Updated Monday, 31-Aug-2009 05:59:56 CDT
Covered on August 25, 2003, August 22, 2005, August 27, 2007;
August 24, 26, 28, 2009
Options
Updated Wednesday, 02-Sep-2009 05:37:08 CDT
Covered on August 25, 2003, August 24-26, 2005, August 29,31,
2007; August 28, 31, 2009,
Speculation and Hedging with Options
Updated Sunday, 06-Sep-2009 10:47:54 CDT
Covered on August 29, 2003, August 26,30, 2005; September 5,
2007; September 2, 2009.
Arbitrage
Updated Wednesday, 02-Sep-2009 06:12:57 CDT
Covered on September 3, 2003; August 30, 2005; September 7,
2007; September 4, 2009
Brief Remarks on Mathematical Models
Updated Sunday, 06-Sep-2009 10:49:29 CDT
Covered on September 3, 2003; September 2, 2005; September 7,
10, 2007; September 9, 2009..
Randomness
Updated Sunday, 06-Sep-2009 10:50:47 CDT
Covered on September 12, 2007; September 11, 2009.
Stochastic Processes
Updated Friday, 28-Aug-2009 06:06:49 CDT
Covered September 14, 2009.
Single Period Binomial Models for Financial Derivatives
Updated Friday, 11-Sep-2009 06:09:33 CDT
Covered on September 8, 2003; September 8, 2005; Covered on
September 14, 2007; September 16, 2009.
Multiple Period Binomial Models for Financial Derivatives
Updated Tuesday, 15-Sep-2009 06:09:43 CDT
Covered on September 10, 2003; September 10, 2005; September
17, 2007.
A Coin Tossing Experiment
Updated Friday, 21-Sep-2007 09:03:43 CDT
Covered on September 12, 2003; September 12, 2005; September
19, 2007; September 21, 2009.
Ruin Probabilities
Updated Sunday, 20-Sep-2009 21:37:05 CDT
Covered on September 15, 2003, September 14, 16, 19 2005;
September 24, 26, 2007; September 21, 23, 25 2009
Duration of the Game till Ruin
Updated Monday, 28-Sep-2009 06:13:47 CDT Re-
Covered on September 17, 22, 2003; September 21, 2005;
September 26, 28, 2007; September 28, 2009.
A Stochastic Process Model of Cash Management
Updated Sunday, 18-Oct-2009 06:45:52 CDT
Covered on September 30, October 2,5 2009.
Laws of Large Numbers
Updated Wednesday, 21-Oct-2009 05:53:30 CDT
Covered on September 24,26,29, 2003; September 23,
2005; October 1, 3, 2007; October 7, 2009
Moment Generating Functions
Updated Wednesday, 07-Oct-2009 06:25:22 CDT
Covered on September 26, 2005; October 3,5, 2007; October 9, 2009.
The Central Limit Theorem
Updated Monday, 12-Oct-2009 06:01:27 CDT
Covered on September 28, 30 2005; October 10, 12, 15, 2007;
October 12, 14, 2009.
The Excess of Heads over Tails, and the Arcsine Law
Updated Tuesday, 20-Oct-2009 09:55:13 CDT
Covered on September 29, October 1, 3, 2003, October 3,5, 7,
10, 2005; October 17, 19, 2007; October 16, 22, 24 2009.
Intuitive Introduction to Diffusions
Updated Monday, 26-Oct-2009 06:13:56 CDT
Covered on October 24, 2007; October 28, 2009.>
The Definition of Brownian Motion
Updated Thursday, 29-Oct-2009 06:10:20 CDT
Covered on October 8, 10, 13, 2003; October 24, 2005; October
29, 27, 2007; October 30, 2009. .
Approximation of Brownian Motion
Updated Tuesday, 03-Nov-2009 06:09:33 CST
Covered on October 15, 2003, October 26, 2005; November 2, 2007. .
Transformations of Brownian Motion
Updated Thursday, 05-Nov-2009 06:09:27 CST
Covered on October 17, 2003, October 28, 31, 2005; November 5,
2007; November 4, 2009.
Hitting Times, Gambler's Ruin, and Max Value
Updated Thursday, 05-Nov-2009 06:11:20 CST
Covered on October 22, 2003, October 31, 2005; November 7,
2007; November 6, 2009.
Path Properties
Updated Monday, 31-Oct-2005 21:37:37 CST
Covered on October 22, 2003, October 31, 2005; November 9,
2007; November 9, 2009.
Quadratic Variation of Brownian Motion
Updated Wednesday, 11-Nov-2009 06:07:06 CST
Covered on October 24,27, 2003, November 4, 2005, November 11, 2009.
Stochastic Differential Equations and Euler-Maruyama Method
Updated Wednesday, 09-Nov-2005 21:31:42 CST
Covered on October 31, 2003; November 9, 2005; November 13, 2009.
Ito's formula and Stochastic Calculus
Updated Wednesday, 18-Nov-2009 05:31:32 CST
Covered on November 3, 2003; November 11, 2005; November 16,18, 2009.
Geometric Brownian Motion
Updated Thursday, 19-Nov-2009 07:36:36 CST
Covered on November 5, 2003, November 14, 2005; November 20, 2009.
Derivation of the Black-Scholes Equation
Updated Monday, 23-Nov-2009 06:11:46 CST
Covered on November 10,12, 2003, November 16, 18, 2005;
November 23, 2009.
Solution of the Black-Scholes Equation
Updated Friday, 02-Dec-2005 20:52:25 CST
Covered on November 14, 17, 19, 24 2003; November 21, 28,
2005; .
A personal, eclectic and biased annotated bibliography of books and articles about probability, stochastic processes and mathematical finance.
I check all the information on each page for correctness and typographical errors. Nevertheless, some errors may occur and I would be grateful if you would alert me to such errors. I make every reasonable effort to present current and accurate information for public use, however I do not guarantee the accuracy or timeliness of information on this website. Your use of the information from this website is strictly voluntary and at your risk.
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Information on this website is subject to change without notice.
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Email to Steve Dunbar,
sdunbar@unl.edu