US Stocks Rise, Oil Falls Amid Iran Truce Hopes; S&P 500 Advances

• US stocks and bonds rose while oil fell as traders weighed prospects of a US-Iran ceasefire.
• S&P 500 advanced for a second time this week despite Iran rejecting a truce proposal.
• President Donald Trump is pushing for talks to halt the conflict, but uncertainties remain.
• US reportedly proposed Iran dismantle nuclear facilities and reduce missile arsenal; Tehran signals little willingness to compromise.
• Iran demands guarantees against attacks, reparations, and recognition of authority over Strait of Hormuz.