| Papa John's P/E is undoubtedly on the high side compared to most restaurants.  PZZA has a 30 P/E, while most of its competitors are in the 15-25 range.  On the other hand, McDonald's runs around a 37 and Starbuck's has an 87 P/E. 
 I'm somewhat less concerned with the P/E than I am about price resistance.  Looking at a one-year chart, you see that whenever PZZA gets to around $45, it makes a top.  It can't manage to go and stay above the $45 top.  On the down-side $35 has been a demonstrated support level.
 
 <Is this thing going down?>  Yes, of course it will go down and, of course, it will go up.  We can't predict day-to-day price moves and we never buy at the low and sell at the high, except fortuitously.  It's more productive to  think of reward/risk ratios.  (Besides, a ratio makes it easier to compare one stock to another.  Buy the stock with the best reward/risk ratio.)
 
 PZZA closed Friday just about $42 1/2.  Therefore, in the present range-bound cycles, there's $2 1/2 potential reward and $7 1/2 potential risk.  The reward risk ratio is 1/3.
 
 Buy PZZA now?  It doesn't look like a good bet.  Sell PZZA now?  Perhaps.  That depends on your own proclivity to take risk.  My preference is to set markers at 10, 15, 85, and 90% levels on a cycle from low to high.  If a stock falls below the 10 or 15% line, I'd mark it as a potential buy once it crosses the same line in an upward direction.  When it goes above the 85 or 90% line, it's a sell candidate if it falls below the respective marker.  I say 'candidate' because I don't use the criterion as a mechanical system and there are generally other factors to take into consideration.  But it IS a starting point.  Note that a high P/E doesn't even come into this decision as a primary factor.  It might become an 'other' factor (but generally not).
 
 Now what about PZZA?  Buy or Sell?  For me, it's not a Buy yet.  Too close to resistance with the likelihood of a downturn.  If I were long, would I sell?  Possibly, but the direction of the last few days is upward.  I'd wait for the 85% marker (43 1/2) and use that as a mental stop first.  If PZZA turns down before I can sell?  I think I'd accept the increased risk, put it back in the 'Hold' column and just wait it out.  It might be only a few days.
 
 Where would I want to buy for (almost) sure?  1) Coming back out of a low -- crossing upward out of a $36 1/2 level. or 2)  Breaking to new highs.  I'd watch $45.  If PZZA can top $45 and STAY there for a couple of days or if it breaks above $47, then I'm a buyer. Above $47 there are no buyers within the past year who are losing money.  There's no psychological motivation to sell - only the eagerness to watch for new highs.  Ultimately, of course, there will be a new peak and once that happens, then you struggle with your decision to take profit or to wait for resumption of the up-trend again.
 
 Probably I haven't directly answered the questions you asked, but I hope I may have added a dimension to the way you look at a stock.  What's the reward; what's the risk?
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