This study provides a generalized framework under which all types of Asian options can be priced: fixed and floating strike, forward starting, and in progress. We not only extend the previous studies to our framework, but also propose a new and theoretically supported closed-form approximation for the option prices. We utilize the moment-matching approach, providing a tractable, flexible, and efficient iterative method to calculate the moments. This study also suggests that the use of a Taylor expansion is unnecessary and exhibits the considerable improvement achieved by avoiding truncation errors.
- FLOATING-STRIKE; SUM; BOUNDS