The "Halftime Report" closed the show with top trades for the final trading day in May.

Kate Moore is watching Japanese equities.

Jim Lebenthal said J.C. Penney could rip higher.

Jon Najarian was bullish on ARIAD Pharmaceuticals.

Josh Brown is keeping his eye on Starbucks.

Trader disclosure: On May 29, 2015, the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Fast Money" were owned by the "Halftime Report" traders: JON NAJARIAN: Long AEP, BBY, CS, CSLT, GE, HSBC, HZNP, KORS, MCD, MW, NEE, NRG, PG, RHT, SIMO, SYK, TTWO, TLT, VIX, XLI, YPF, he is long calls ANF, ARIA, CTXS, DE, DRI, EBAY, GE, GLD, IDTI, JNPR, KING, KO, LLY, MCD, PG, PHM, SNDK, SUNE. Today he bougt ARIA calls, LLY calls, PHM calls, and SUNE calls. JOSH BROWN: Long AAPL, BAC, DE, DNKN, FSLR, JMBA, SAM, SHAK, SPWR, TNET, TWTR, XLE, XON. JIM LEBENTHAL: Long AAPL, BP, C, CSCO, DCO, EEQ, GAIA, GM, IBM, INTC, JCP, MPC, OA, ORBC, PFE, QCOM, SJT, SPLS, TGT, TIF, TRMB, WGO.