Quote from optioncoach:
It could be the volatility dropped or the fact that CSCO is, although down, still trading at $22.40 well above the $20 put strike. With time to expiration about a week away the time decay is eating into the premium pretty heavily so with the stock still $2.40 above the strike the option price will not budge too much.
When trading options you want to be aware of volatility, time to expiration and the deltas of your options to better understand how it will react to changes in the price of the stock.
