Carrier Global Corp (NYSE:CARR) has been middling above the $37 level for the past month -- struggling to rally from its April 28 annual low of $36.23. Today, however, the stock is up 2.7% to trade at $39.34, and back above its 20-day moving average. Plus, this upcoming month has been a strong one for CARR, historically.

With the help of Schaeffer's Senior Quantitative Analyst Rocky White, we've compiled a list of the 25 best S&P 500 stocks to own in June, going back 10 years. Carrier Global stock is third on the list, averaging a June return of 7.2%, with 100% of the returns positive. From its current perch, this would put CARR just below the $43 level.

There is plenty of room for upgrades, too, which could send the stock higher. Of the 16 analysts in coverage, 10 carry a "hold" rating on CARR.

An unwinding of pessimism among short-term options traders could put additional wind at CARR's back, as these players are more put-biased than usual right now. This is per the security's Schaeffer's put/call open interest ratio (SOIR) of 0.89, which sits higher than 77% of readings from the past 12 months.