Nikolai Dokuchaev is Associate Professor in the Department of Mathematics, Trent University, Ontario, Canada.

"The book provides a systematic, self-sufficient, and yet short presentation of the main topics of mathematical finance. ...The book is suitable for undergraduate and graduate courses in mathematics, statistics, finance, and economics. It also provides fundamentals for further research and study in these fields." -Pavel Stoynov, Zentralblatt MATH 1173

• 1. Review of Probability Theory 2. Basics of Stochastic Theory 3. Discrete Time Market Models 4. Basics of Ito Calculus and Stochastic Analysis 5. Continuous Time Market Models 6. American Options and Binomial Trees 7. Implied and Historical Volatility 8. Review of Statistical Estimation 9. Estimation of Models for Stock Prices

Nikolai Dokuchaev is Associate Professor in the Department of Mathematics, Trent University, Ontario, Canada.

"The book provides a systematic, self-sufficient, and yet short presentation of the main topics of mathematical finance. ...The book is suitable for undergraduate and graduate courses in mathematics, statistics, finance, and economics. It also provides fundamentals for further research and study in these fields." -Pavel Stoynov, Zentralblatt MATH 1173

• 1. Review of Probability Theory 2. Basics of Stochastic Theory 3. Discrete Time Market Models 4. Basics of Ito Calculus and Stochastic Analysis 5. Continuous Time Market Models 6. American Options and Binomial Trees 7. Implied and Historical Volatility 8. Review of Statistical Estimation 9. Estimation of Models for Stock Prices

Nikolai Dokuchaev is Associate Professor in the Department of Mathematics, Trent University, Ontario, Canada.

"The book provides a systematic, self-sufficient, and yet short presentation of the main topics of mathematical finance. ...The book is suitable for undergraduate and graduate courses in mathematics, statistics, finance, and economics. It also provides fundamentals for further research and study in these fields." -Pavel Stoynov, Zentralblatt MATH 1173

• 1. Review of Probability Theory 2. Basics of Stochastic Theory 3. Discrete Time Market Models 4. Basics of Ito Calculus and Stochastic Analysis 5. Continuous Time Market Models 6. American Options and Binomial Trees 7. Implied and Historical Volatility 8. Review of Statistical Estimation 9. Estimation of Models for Stock Prices