Abstract
In the previous chapter, we had obtained a pathwise formula for the quadratic variation of a martingale. We will show in this chapter that the same formula yields the quadratic variation of a semimartingale. We will also obtain a pathwise formula for the stochastic integral.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Karandikar, R.L., Rao, B.V. (2018). Pathwise Formula for the Stochastic Integral. In: Introduction to Stochastic Calculus. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-10-8318-1_6
Download citation
DOI: https://doi.org/10.1007/978-981-10-8318-1_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-8317-4
Online ISBN: 978-981-10-8318-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)