Lognormal distribution
Volatility shape-shifters: arbitrage-free shaping of implied volatility surfaces
Manipulating implied volatility surfaces using optimal transport theory has several applications
Truncated lognormals as a power-law mimic in operational risk
This paper makes use of the power-law mimicry properties of the truncated lognormal distribution and shows how they fit operational risk data considerably well.
Negative rates: Dealers struggle to price 0% floors
Going negative
A fully lognormal Libor market model
In the Gaussian Heath-Jarrow-Morton model, all discount factors are lognormal under allforward measures. The Libor market model does not have this property – only the relevantforward Libor rate is lognormal under a given forward measure. However, all…
Unexpected recovery risk
For credit portfolio managers, the priority is to properly incorporate recovery rates into existingmodels. Here, Michael Pykhtin improves upon earlier approaches, allowing recovery rates todepend on the idiosyncratic part of a borrower's asset return, in…
Unexpected recovery risk
For credit portfolio managers, the priority is to properly incorporate recovery rates into existing models. Here, Michael Pykhtin improves upon earlier approaches, allowing recovery rates to depend on the idiosyncratic part of a borrower’s asset return,…
Unexpected recovery risk
For credit portfolio managers, the priority is to properly incorporate recovery rates into existing models. Here, Michael Pykhtin improves upon earlier approaches, allowing recovery rates to depend on the idiosyncratic part of a borrower’s asset return,…
Asian basket spreads and other exotic averaging options
Giuseppe Castellacci and Michael Siclari of OpenLink introduce a class of exotic options that simultaneously generalises both Asian and basket options. They develop approximate analytic models for real-time pricing of complex instruments that average…
In praise of bar data
Forex markets