The Rupee opened little changed on Thursday and stay within a narrow range, with Iran ceasefire ?optimism countered by persistent dollar hedging from importers and firms with ?overseas borrowings. The rupee will open in the 92.34-92.38 range versus the U.S. dollar, having settled at 92.3725 on Wednesday. The currency, having rallied on the back of ?steps taken by the central bank, has largely settled into a ?range around the 93 level. The rupee's intraday moves over recent ?sessions have been limited to around 30–35 paisa, with the rupee ?mostly opening on a subdued note. Volatility expectations, which had jumped following the Reserve Bank ?of India's measures that introduced a fair degree of uncertainty about the currency's outlook, have since dropped. The Iran ceasefire, the resulting pullback in oil prices and an improvement in ?risk appetite have helped bring near-term volatility expectations back down, traders say. Asian ?equities pushed higher on mounting optimism about a deal ?to halt ?the Iran war. Meanwhile, oil prices dipped slightly on hopes of a cool down in U.S.-Iran tensions, following a report that Iran could allow ships to pass through ?the Strait ?of Hormuz. The White House expressed optimism about reaching ?a deal to end the war with Iran, while also warning of increasing economic pressure ?against Tehran if it remains defiant. The U.S. ?dollar held near its lowest level since early March against major currencies on Thursday, as the White House's optimism ?over a peace deal with Iran buoyed sentiment and encouraged traders to shed safe-haven positions. The euro briefly strengthened past $1.18 and was on track for a nine-day winning streak. ?Sterling last traded at $1.3569 , up about 0.2% for the day. Both hovered near their highest levels since before the Iran war began in ?February. The dollar index , which measures the currency's strength against six major peers, was steady at 98.018. It declined for eight straight sessions ?through Wednesday to give up most of the gains sparked by the war, as a tentative ceasefire revived appetite for riskier currencies. A break below the 98 level, a key near-term support, could open up potential for further downside, he said. The ?index ?is down 0.7% for the week, poised for its second straight week of declines. The offshore yuan traded at 6.8156 yuan per dollar , hovering near a three-year high. The onshore yuan last bought 6.8169 to the dollar. The yuan ?has firmed 2.6% against the ?dollar this year, as booming exports push up China's currency and companies convert their dollar holdings to yuan. Oil prices fell in early trade on Thursday as hopes for easing U.S.-Iran tensions, following reports that Iran could allow ships to pass through around ?the Strait of Hormuz, outweighed concerns over ongoing supply disruptions. Brent crude futures dropped ?44 cents, or 0.5%, to $94.49 a barrel at 0021 GMT. U.S. West Texas Intermediate crude futures was down 70 cents, or 0.8%, at $90.59 a barrel.......