Do you take advantage of mispriced options?

In answering a question about straddles and strangles, MNSL quoted the following numbers by way of example: stock price and strike prices all $15, time to expiry one month, cost of call option $2, cost of put option $1. The numbers served the purpose of answering the question.

However, what if you actually see these prices quoted? Clearly, there is some mispricing. Using the calculator at http://www.futuresandforex.info/strategies1.shtml I see that the call price of $2 has an implied volatility of 115%, at which the put price should be $1.95; and the put price of $1 has an implied volatility of 61%, at which the call price should be $1.08.

Would you take advantage of this mispricing by buying the put and selling the call and going long the stock? Then, no matter where the marked is after one month, you will make $100 per position of 100 shares. Test three market scenarios: (i) unchanged, (ii) at $10, (iii) at $20. In each case, the outcome is $1 profit.