A day after the Trump administration successfully acknowledged the election of Joseph R. Biden Jr., buyers confirmed their aid by pushing the 2 main stock market indexes to all-time information on Tuesday.It was a welcome celebration of types for Mr. Biden, however what buyers had been actually embracing was the tip of uncertainty. President-elect Biden has vowed to push for extra stimulus to bolster the economic system. His choice for Treasury secretary, Janet L. Yellen, is well-known from her days as Federal Reserve chair. And a number of other new coronavirus vaccine candidates imply that the pandemic may very well be beneath management within the months forward.President Trump, who on the marketing campaign path had warned that Mr. Biden’s election would result in stock market armageddon, on Tuesday implied that the day’s highs had been his personal doing, making an unscheduled cease at a White Home briefing to play up the newest positive factors within the Dow Jones industrial common.“The stock market’s just broken 30,000 — never been broken, that number,” stated Mr. Trump, who has usually used the markets as a barometer of his presidency. “That’s a sacred number, 30,000; nobody thought they’d ever see it.” He added: “I just want to congratulate all the people within the administration that worked so hard. And most importantly, I want to congratulate the people of our country, because there are no people like you.”Mr. Trump, who spoke for about 65 seconds, ignored questions from reporters about whether or not he would concede to Mr. Biden.On Wall Street, the S&P 500 stock index rose 1.6 p.c to a brand new excessive of three,635.41, whereas the Dow rose 1.5 p.c, closing above 30,000 for the primary time.“We have an enormous amount of certainty that we didn’t have just a few months ago,” stated Kristina Hooper, chief international market strategist at Invesco, an funding administration agency.The previous couple of months have been a unstable stretch for buyers. After hitting a peak on Sept. 2, the S&P 500 started to fall, and — aside from a short uptick the next month — remained roughly 9 p.c under the height till the tip of October.One signal of investor nervousness was the volatility displayed within the VIX, an index extensively often known as Wall Street’s “fear gauge.” The VIX spiked by greater than 50 p.c in late October because the virus picked up once more and the election approached. A meltdown of know-how stocks added to the uncertainty. Within the final week in October, stocks fell 5.6 p.c, the most important weekly drop since March. Nonetheless, stocks had been up for the 12 months on the finish of final month.And within the weeks because the election stocks have climbed steadily, primarily due to encouraging vaccine information. Pfizer, Moderna and AstraZeneca have all introduced that their vaccine candidates confirmed favorable leads to trials. The S&P 500 has risen roughly eight p.c because the election. Some buyers consider that with Mr. Biden within the White Home, and Republicans more likely to retain management of the Senate, they might depend on political gridlock to dam tax will increase that might roil the markets.“You have got a Biden administration probably ruled by a cut up Congress and a conservative Supreme Courtroom so it eliminates a few of the most excessive insurance policies both on the suitable or left,” stated Michael Arone, chief funding strategist at State Street International Advisors. “So markets are celebrating that.”The excellent news about vaccines has bolstered stocks that had been hit onerous by the outbreak. Stocks of airways and oil firms have soared this month. United Airlines, American Airlines and Delta Air Traces have all climbed by greater than 30 p.c. The oil big Chevron is up practically 38 p.c. The Russell 2000 — an index of smaller capitalization firms closely influenced by the shorter-term outlook for the U.S. economic system — is up greater than 20 p.c this month alone.However many analysts consider that the market might have completed even higher with out the political uncertainty in regards to the consequence of the election. The president’s baseless claims that there was fraud within the election and that he would finally win a second time period helped preserve a lid on positive factors by injecting uncertainty into the markets.The choice on Monday by Emily W. Murphy, the administrator of the General Companies Administration, to permit the presidential transition course of to maneuver ahead made buyers really feel assured that the election was lastly over, Ms. Hooper stated. “I think that was creating a significant overhang and raised questions about how long this would drag on,” she stated.Markets additionally appeared to welcome the return of politics as standard beneath a future Biden administration, and had been reassured by the information that Ms. Yellen might be Mr. Biden’s nominee to move the Treasury Division. She is a identified amount on Wall Street, effectively revered for her regular management on the head of the central bank, from 2014 to 2018.“There had been some worry that Mr. Biden would choose a Treasury secretary with a robust anti-Wall Street bias,” wrote analysts with Excessive Frequency Economics in a shopper notice on Tuesday. “Janet Yellen isn’t that.”The markets carried out effectively beneath Mr. Trump for probably the most half. Since his election in 2016, the S&P 500 has returned greater than 80 p.c — together with dividend funds. Most analysts credit score the administration’s tax cuts — signed into legislation in 2017 — for a major a part of the positive factors.However the final 4 years have additionally been a unstable interval for markets, with a number of sharp, sudden downturns usually linked to insurance policies pushed by Mr. Trump, resembling his commerce conflict with China, which helped push stocks to a 6 p.c loss in 2018.This 12 months, the greater than 11-year-old bull market collapsed in March, because the S&P 500 dove practically 34 p.c in a matter of weeks because the virus raged across the globe, earlier than finally climbing to new highs.Mr. Trump’s model was usually at odds with Wall Street’s preferences.He broke with the custom of nearly all different current presidents in utilizing the facility of the bully pulpit to browbeat particular person firms — together with Boeing, Amazon, Ford and General Motors — for choices he disliked, usually sending their shares reeling in actual time.Even these on Wall Street who might need supported a few of the president’s insurance policies usually stated they might do with out his fixed Twitter missives weighing in on the markets. (Since his election in 2016 the president has tweeted or retweeted roughly 200 messages on the markets.)“It always bothered me that the president tweeted about the markets,” stated Paul Schatz, who manages roughly $90 million in property for shoppers largely in New York, Connecticut and Florida. “As an investment adviser in charge of taking care of people’s money, I would rather the president would not wade into those waters.”Michael Crowley contributed reporting.