Sunday, September 20, 2015

Value options when the currency’s risk free rate is negative?


How would you handle a negative interest rate in index/equity options valuation?


An example would be negative rates for short term maturities for Swiss Frank (CHF).



Answer



A realistic alternative is to set all CHF rates out till 3 months equal to zero. The differential is so insignificant that for practical pricing valuation purposes it makes zero difference.


Please note that I am in particular talking about the valuation of index/equity options such as you indicated.


But even plugging negative rates in should work fine for BS-models (read a paper on that by Espen Gaarder Haug). However, you need to be more careful when working with interest rate models. Some are not happy with negative rates.


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