Question
The current price of a non-dividend paying stock is 40 and the continuously compounded risk-free interest rate is 4%. The following table gives call and
The current price of a non-dividend paying stock is 40 and the continuously compounded risk-free interest rate is 4%. The following table gives call and put option premiums for three-month European-style options of various exercise prices.
Exercise price | Call Premium | Put premium |
35 | 5.75 | 0.40 |
40 | 2.29 | 1.90 |
45 | 0.50 | 5.05 |
A trader interested in speculating on volatility is considering two investment strategies. The first is a long 40-strike straddle. The second is a long strangle consisting of a long put option at strike 35, and a long call option at strike 45.
Determine the range of stock prices (ST) in 3 months for which the strangle outperforms the straddle.
Select one:
The strangle never outperforms the straddle.
35.90 < ST < 44.10
34.10 < ST < 45.90
The strangle always outperforms the straddle.
36.71 < ST < 43.29
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