$.$ The current price of a non$-$dividend paying stock is $40$ and the continuously compounded riskfree interest rate is $8\%.$ The following table shows call and put option premiums for threemonth European of various exercise prices:

Exercise Price, Call Premium $,$Put Premium

$35,6\mathrm{.}13,0\mathrm{.}44$

$40,2\mathrm{.}78,1\mathrm{.}99$

$45,0\mathrm{.}97,5\mathrm{.}08$

A trader interested in speculating on volatility in the stock price is considering two investment strategies. The first is a $40-$strike straddle. The second is a strangle consisting of a $35-$strike put and a $45-$strike call. Determine the range of stock prices in $3$ months for which the strangle outperforms the straddle.