July 30th, 2006, 9:25 am
Let's say you pay x% coupon as long as index (e.g. LIBOR) remains in the pre-specified range. For sake of understanding you can replicate this payoff by entering underlying swap + digital floorlet (lower barrier) + digital caplet (upper barrier). Of course, this should be daily digital which is delay-settled on next coupon date so it should be convexity adjusted based on your chosen model. Anyhow, if you draw the gamma/vega profile of digital options, you should be able to understand gamma changes its sign around lower/upper barrier levels.
Last edited by
mwc227 on July 29th, 2006, 10:00 pm, edited 1 time in total.