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Mathematical Finance: Core Theory, Problems and Statistical Algorithms

Penned By Nikolai Dokuchaev
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4.85
71,206 Global Ratings
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Mathematical Finance: Core Theory, Problems and Statistical Algorithms

Penned By Nikolai Dokuchaev
4.85 71,206 Ratings
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Editor's Note:
Written in a rigorous yet logical and easy to use style, spanning a range of disciplines, including business, mathematics, finance and economics, this comprehensive textbook offers a systematic, self-sufficient yet concise presentation of the main topics and related parts of stochastic analysis and statistical finance that are covered in the majority of university programmes.Providing all explanations of basic concepts and results with proofs and numerous examples and problems, it includes:an introduction to probability theorya detailed study of discrete and continuous time market modelsa comprehensive review of Ito calculus and statistical methods as a basis for statistical estimation of models for pricinga detailed discussion of options and their pricing, including American options in acontinuoustime setting.An excellent introduction to the topic, this textbook isan essential resource for all students on undergraduate and postgraduate courses and advanced degree programs in econometrics, finance, applied mathematics and mathematical modelling as well as academics and practitioners

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Length 196 Pages
Imprint Routledge
Released January 31, 2007
Identifier (ISBN) 16799444
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Nikolai Dokuchaev
The Mind Behind the Work
Nikolai Dokuchaev

Nikolai Dokuchaev is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Nikolai Dokuchaev enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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James Hernandez
James Hernandez April 13, 2025
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
Gary Walker
Gary Walker June 11, 2025
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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Jennifer Diaz
Jennifer Diaz December 12, 2025
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Patricia Thompson
Patricia Thompson August 31, 2025
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
Richard Thomas
Richard Thomas May 19, 2024
"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Donna Miller
Donna Miller November 27, 2025
"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
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Susan Harris June 24, 2025
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
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Stephanie Moore October 29, 2024
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Lisa Rivera
Lisa Rivera April 04, 2024
"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Andrew Scott
Andrew Scott May 28, 2025
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
James Hernandez
James Hernandez August 17, 2025
"It was adequate. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
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"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Stephanie Brown
Stephanie Brown June 02, 2025
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"I find myself somewhat conflicted. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Suitable if your reading queue is empty."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
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"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
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"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
Daniel Campbell
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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Michael Collins March 18, 2024
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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Jessica King June 30, 2025
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
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"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
Ryan Roberts
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"Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
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"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
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"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Laura Hernandez
Laura Hernandez March 09, 2025
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
James Evans
James Evans December 16, 2024
"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Patricia Miller
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"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Nicholas Garcia
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"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
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"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Cynthia Thomas
Cynthia Thomas January 16, 2025
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Joshua Rivera
Joshua Rivera April 14, 2025
"Not entirely to my refined tastes. Certain acts were fascinating, while others felt like a slight endeavor to complete. Unlikely to reread, but a reasonable expenditure of time."
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Daniel Garcia September 13, 2024
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
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"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
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Mark Taylor
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"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
Cynthia Scott
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
Steven Evans
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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
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"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
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"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
Susan Reyes
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"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
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"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
Joshua Taylor
Joshua Taylor August 04, 2025
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Andrew Moore
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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
James Evans
James Evans January 02, 2025
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Paul Rodriguez
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"A decent, if standard, experience. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
Charles Campbell
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"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
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"A decent, if standard, experience. The prose was competent, yet the characters lacked the depth I usually seek. Perfectly average."
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"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
Lisa Nguyen
Lisa Nguyen February 21, 2024
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Cynthia Thomas
Cynthia Thomas December 25, 2024
"An acceptable diversion. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Perfectly average."
Laura Martinez
Laura Martinez February 20, 2025
"Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Andrew Jackson
Andrew Jackson March 15, 2025
"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Sandra Jones
Sandra Jones March 03, 2024
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Eric King
Eric King January 02, 2025
"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
David Harris
David Harris February 24, 2024
"An acceptable diversion. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Perhaps more aligned with a different audience's tastes."
Kimberly Adams
Kimberly Adams March 14, 2025
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Dorothy Johnson
Dorothy Johnson April 07, 2025
"Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Patricia Adams
Patricia Adams November 17, 2025
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Deborah Scott
Deborah Scott November 19, 2025
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Amanda Jones
Amanda Jones June 03, 2024
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Laura Garcia
Laura Garcia February 03, 2024
"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
Lisa Rivera
Lisa Rivera August 19, 2024
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Mark Smith
Mark Smith October 09, 2024
"I find myself somewhat conflicted. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. A fair 3 stars."
Linda Carter
Linda Carter April 20, 2025
"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
Thomas Gomez
Thomas Gomez October 23, 2025
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
Nicholas Carter
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Susan Walker
Susan Walker July 23, 2024
"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Sarah Moore
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"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers."
Jacob  Davis
Jacob Davis December 23, 2024
"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Kimberly King
Kimberly King June 24, 2024
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Margaret Martin
Margaret Martin August 05, 2024
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Donna Phillips
Donna Phillips July 16, 2025
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Linda King
Linda King February 17, 2025
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Emily Green
Emily Green December 20, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Ryan  Davis
Ryan Davis March 23, 2024
"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
Amanda Jones
Amanda Jones May 22, 2024
"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Donna Phillips
Donna Phillips June 24, 2024
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Donna Thompson
Donna Thompson June 30, 2024
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Jacob Walker
Jacob Walker July 06, 2024
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Jacob Walker
Jacob Walker January 07, 2024
"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Cynthia Walker
Cynthia Walker September 16, 2025
"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
Paul Ramirez
Paul Ramirez February 25, 2025
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
Stephanie Martinez
Stephanie Martinez August 14, 2025
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
Donna  Parker
Donna Parker November 08, 2025
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Andrew Lopez
Andrew Lopez April 13, 2024
"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Mark Mitchell
Mark Mitchell April 02, 2024
"I find myself somewhat conflicted. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
Thomas Campbell
Thomas Campbell April 24, 2024
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Mark Nguyen
Mark Nguyen September 14, 2025
"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Dorothy Smith
Dorothy Smith October 02, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Lisa Nguyen
Lisa Nguyen January 18, 2024
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Joshua Rivera
Joshua Rivera December 17, 2024
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Betty Taylor
Betty Taylor October 15, 2025
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Joshua Adams
Joshua Adams January 07, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Brian Jackson
Brian Jackson July 13, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Stephanie Brown
Stephanie Brown January 27, 2024
"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Amanda Turner
Amanda Turner March 07, 2025
"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
Michael Collins
Michael Collins July 16, 2024
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Thomas Baker
Thomas Baker May 08, 2025
"Not entirely to my refined tastes. It verged on repetitive in the second act. A more concise edit would have served it well. Perhaps more aligned with a different audience's tastes."
Thomas King
Thomas King July 31, 2024
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
Matthew Ramirez
Matthew Ramirez July 21, 2024
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend."
Emily Edwards
Emily Edwards October 08, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Amanda Green
Amanda Green October 25, 2024
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Lisa Rivera
Lisa Rivera January 30, 2024
"Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Suitable if your reading queue is empty."
Daniel Taylor
Daniel Taylor October 23, 2025
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
David Lopez
David Lopez July 16, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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