he 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

The strangle always outperforms the straddle.

36.71 < ST < 43.29

34.10 < ST < 45.90