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Jordy
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Joined: October 1st, 2010, 12:00 am

Shifted lognormal digital caplets

May 20th, 2016, 9:06 am

I am searching formulas and examples about shifted lognormal digital caplets (à la Black'76) for IR options.Also the sensitivity formulas (delta, gamma, vega, theta and rho).In internet I was not able to find any material.Can you suggest a good book/paper on this topic?Cheers,Jordy
 
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Orbit
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Joined: October 14th, 2003, 5:34 pm

Shifted lognormal digital caplets

May 20th, 2016, 1:56 pm

Well, the shifted lognormal regular caplet is developed in Brigo & Mercurio starting on p.454 (section 10.1) of the second edition. Perhaps you can draw an analogy to a digital option from a regular Black-Scholes case?