* U.S. PCE index unchanged in May, up 2.6% year-on-year
* Fed funds futures slightly lift rate cut chances in September
* Dollar/yen up nearly 6% on the month
* Euro on track for biggest monthly fall since January

By Gertrude Chavez-Dreyfuss
       NEW YORK, June 28 (Reuters) - The U.S. dollar fell against the
yen on Friday after data showed inflation in the world's largest
economy cooled down last month, cementing expectations that the
Federal Reserve will start cutting interest rates this year.
    The greenback has been on a tear against the yen, underpinned by
wide interest rate differentials between the United States and Japan.
On the year, the dollar has surged 14%.
        Earlier in the session, the dollar hit a fresh 38-year high of
161.27 yen. But as inflation cooled, the dollar retreated on Friday,
sliding 0.3% to 160.285 yen. 
  
    Data showed the U.S. personal consumption expenditures (PCE) price
index, the Fed's preferred inflation measure, was unchanged last
month, and followed an unrevised 0.3% gain in April, data showed. In
the 12 months through May, the PCE price index increased 2.6% after
advancing 2.7% in April.
    "Markets will breathe the sigh of relief that the PCE didn't
really surprise one way or the other," said Carol Schleif, chief
investment officer, at BMO Family Office in Minneapolis.
        "It's still indicative of an economy that's coasting,
hopefully to a more sustainable long-term pace, with inflation still
bumping its way downward."
  
        Following the inflation data, fed funds futures slightly
raised the chances of easing in September to around 67%, from about
65% late on Thursday, according to LSEG calculations. The market is
also pricing between one to two rate cuts of 25 bps each this year.
  
        Dollar/yen has been the currency most sensitive to U.S.
economic data because of its high, positive correlation with Treasury
yields. The U.S. currency has posted monthly and quarterly gains
versus the yen of 1.9% and 5.9%, respectively.
  
        In other currencies, the euro was flat $1.0701.
  
        The euro, down 1.3% against the dollar in June, was on track
for its biggest monthly fall since January as political uncertainty
weighed in the run-up to France's general elections.
  
        Against the Swiss franc, the dollar was also little changed at
0.8986 francs.
  
        
  
        
  
 Currency                                                          
 bid                                                              
 prices at                                                        
 28 June                                                         
 01:30                                                            
 p.m. GMT                                                         
 Descripti  RIC    Last      U.S.       Pct     YTD Pct  High     Low
 on                          Close      Change           Bid      Bid
                             Previous                             
                             Session                              
 Dollar     <=USD  105.9     105.89     0.02%   4.47%    106.13   105.
 index      >                                                     78
 Euro/Doll                                                    685
 Dollar/Ye                                                     38
 Euro/Yen                                                     46
 Dollar/Sw                                                    85
 Sterling/                                                     685
 Dollar/Ca                                                     84
 Aussie/Do                                                     62
 Euro/Swis                                                    1
 Euro/Ster                                                    58
 NZ                                                            58
 llar                                                             
 Dollar/No                                                       116
 Euro/Norw                                                    67
 Dollar/Sw                                                       877
 Euro/Swed                                                    364
 
 (Reporting by Gertrude Chavez-Dreyfuss; Additional reporting by
Carolina Mandl; Editing by Sharon Singleton)