| NUMA OPTION CALCULATOR |
In all the following examples we assume that today's date is 1 November 1995.
Assumption: A call option on a company that pays no dividend (or will, at least, pay no dividend up to expiry of the option). The call option expires 10 Dec 1995. The current share price is $35.50, and the strike is at $33. The risk-free interest rate is 5.7% and forecast volatility for the share price for the period up to expiry of the option is 18.9%.
The inputs to value this option would be as follows:
Assumption: We want to compare the implied volatility calculation with a figure we have seen in a report on a 6 month index put option. The index currently stands at 3340, and the option strike is 3300. The dividend yield on the index is 2.6% and the 6 month risk-free rate is 4.85%. Index volatility is 28%.
The inputs to value this option would be as follows:
Notes:
Assumption: We want to calculate the theoretical value of a 2 year call option on Deutsche Marks (base currency being US$). The current exchange rate is 0.578, and the option's strike is 0.6. 2-year US interest rates are 7% and German rates are 3.4%. Exchange rate volatility is 11.9%.
The inputs to value this option would be as follows: