Generalized Integral Transforms in Mathematical Finance
SKU: 17520006003

Generalized Integral Transforms in Mathematical Finance

Sale price$163.49 Regular price$181.66
Save 10%

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Jul 6 - Jul 11

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Generalized Integral Transforms in Mathematical FinanceThis book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi closed form pricing of options in the one factor models with time dependent barriers (Bachelier, Hull White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model

This book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi-closed form pricing of options in the one-factor models with time-dependent barriers (Bachelier, Hull-White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model with default contagion; (c) finding first hitting time density for a reducible diffusion process; (d) describing the exercise boundary of American options; (e) calculating default boundary for the structured default problem; (f) deriving a semi-closed form solution for optimal mean-reverting trading strategies; to mention but some.

 

The main methods used in this book are generalized integral transforms and heat potentials. To find a semi-closed form solution, we need to solve a linear or nonlinear Volterra equation of the second kind and then represent the option price as a one-dimensional integral. Our analysis shows that these methods are computationally more efficient than the corresponding finite-difference methods for the backward or forward Kolmogorov PDEs (partial differential equations) while providing better accuracy and stability.

 

We extend a large number of known results by either providing solutions on complementary or extended domains where the solution is not known yet or modifying these techniques and applying them to new types of equations, such as the Bessel process. The book contains several novel results broadly applicable in physics, mathematics, and engineering.

Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 17520006003

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.4 ★★★★★
Based on 1455 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
R
Verified Purchase
Rick
Massapequa, US
★★★★★ 5
Durable
Size: 6 Big Kid, Color: Aqua/Multi
Good shoes. True to size
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 18, 2026
R
Verified Purchase
Redhead75
Houston, US
★★★★★ 5
So good!
Size: 4 Big Kid, Color: Aqua/Multi
As always sketchers give her great support nd comfort while being cute and easy on off! Slip resistant, breathable and size is spot on and super durable wash great and dry quick
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on October 28, 2025
A
Verified Purchase
AMA
Pawtucket, US
★★★★★ 5
Fantastic, stylish, and easy shoes!
Size: 2.5 Little Kid, Color: Aqua/Multi
My daughter LOVES these and wears them daily. She says they're really comfy and they slip on easily. They've held up for several months of daily wear so far and are still going strong!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on September 15, 2025
J
Verified Purchase
Janis H.
Lake Worth, US
★★★★★ 5
Great shoes
Size: 3.5 Big Kid, Color: Hot Pink/Multi
These shoes are awesome! Have good arch support and very comfortable
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 12, 2026
S
Verified Purchase
Shelby g
Chelsea, US
★★★★★ 5
Awesome shoes!
Size: 4 Big Kid, Color: Aqua/Multi
My daughter is SUPER picky about shoes and loves these. They are easy and quick to put on, run true to size, and most important COMFORTABLE. She is outgrowing them and will have to get her the next size up. Highly recommend for picky kids
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on December 4, 2025

recommand products