Abstract
In this chapter, we first review the basic theory of normal and log-normal distribution and their relationship, then bivariate and multivariate normal density function are analyzed in detail. Next, we discuss American options in terms of random dividend payment. We then use bivariate normal density function to analyze American options with random dividend payment. Computer programs are used to show how American co-options can be evaluated. Finally, pricing option bounds are analyzed in some detail.
Original language | English (US) |
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Title of host publication | Handbook of Financial Econometrics, Mathematics, Statistics, and Machine Learning (In 4 Volumes) |
Publisher | World Scientific Publishing Co. |
Pages | 2929-2964 |
Number of pages | 36 |
ISBN (Electronic) | 9789811202391 |
ISBN (Print) | 9789811202384 |
DOIs | |
State | Published - Jan 1 2020 |
All Science Journal Classification (ASJC) codes
- Economics, Econometrics and Finance(all)
- Business, Management and Accounting(all)
Keywords
- American option
- Log-normal distribution
- Multivariate log-normal distribution
- Multivariate normal distribution
- Normal distribution
- Option bound