In: Finance
A stock index is currently 1,000. Its volatility is 20%. The risk-free rate is 5% per annum
(continuously compounded) for all maturities and the dividend yield on the index is
3%. Calculate values for u, d, and p when a six-month time step is used. What is the
value a 12-month American put option with a strike price of 980 given by a two-step
binomial tree.
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Standard deviation | 20.00% | ||||
Time of each period (months) | 6 | ||||
u= e^(Standard deviation)*( Time each period/12)0.5 | |||||
u= | 1.1519 | ||||
d=1/u= | 0.8681 |