QuantLib Python: caplet/swaption pricing under dual curve

Question

Is there a way to price caplets/swaptions in QuantLib python (v 1.6.2) under dual curve i.e. pass projection curve for forwards and discounting curve for discounting the cash flows?

Goutham has an example here but it uses single curve for both forwards and discount. I looked at BlackCapFloorEngine.hpp and could not find function which takes two curves as input.

Secondly, is the Bachelier model exposed to python? Because I could not find it.

Answer 1

Discount vs forward estimation curve

The YieldTermStructureHandle passed to BlackCapFloorEngine corresponds to the discount curve, while the one passed to IborIndex corresponds to the forward estimation curve

In the example you are referring two, it turns out both are identical, but you could very well define two different handles on two different curves, as follows:

disc_term_structure = ql.ZeroCurve(disc_dates, disc_zero_rates, ...)
disc_ts_handle = ql.YieldTermStructureHandle(disc_term_structure)
engine = ql.BlackCapFloorEngine(disc_ts_handle, vols)

Bachelier pricing engine

As for your second question, there is a BachelierCapFloorEngine class in QuantLib, see here: https://github.com/lballabio/QuantLib/blob/master/ql/pricingengines/capfloor/bacheliercapfloorengine.hpp

and it is exposed in Python (I am using QuantLib 1.16). You could for example, replace the Black engine instanciation with this line in Goutham's example:

engine = ql.BachelierCapFloorEngine(disc_ts_handle, ql.QuoteHandle(ql.SimpleQuote(0.03))