US equity indexes rose this week as Iran signaled that peace-deal terms with the US are in their final review, inflation data eased rate-increase expectations, and SpaceX (SPCX) shares jumped in their market debut.

* The S&P 500 closed at 7,431.46 on Friday, up from 7,383.74 a week earlier. The Nasdaq Composite rose to 25,888.84, from 25,709.53, and the Dow Jones Industrial Average advanced to 51,202.26 from 50,866.78.

* Iran is in the final stages of internal deliberations on a peace agreement with the US, Iranian Foreign Ministry spokesperson Esmaeil Baghaei said Friday, according to CNN. "Understanding has been reached on the majority of issues," he said.

* US core producer prices rose less than expected in May from both April and a year earlier. Core consumer prices also came in softer than forecast on a monthly basis, while the annual reading matched expectations.

* FedWatch data late Friday showed a 43% probability of a 25-basis-point rate increase in December, little changed from a week earlier. Odds for a September increase fell to 26% from 34%, and October odds dropped to 33% from 40%, indicating reduced expectations for additional increases in H2.

* Markets see a near-certain chance the Fed will hold rates steady in June and a 92% probability of no change in July.

* Space Exploration Technologies shares opened at $150 on Friday, topping the initial public offering price of $135. The stock closed up 19%.