Trump's victory sent shock waves through global financial markets, with Dow futures falling more than 800 points as election results came in early Wednesday morning.

But by the end of the day shares had risen by a net 1%, and today hit a new all-time high shortly after the open. 

The World at One
BBC Radio 4

UK Conservative MP Jacob Rees-Mogg and former Labour Leader Ed Miliband spoke to the BBC's World at One earlier. 

Rees-Mogg said a Trump presidency would be better for the UK, calling the election and the Brexit vote the "triumph of optimism". 

Miliband accused him of a "delusional fantasy". 

"The idea that we have shared values with a racist, misogynistic self-confessed groper beggars belief," he said.

President Obama will in two hours welcome Donald Trump and his wife Melania to the White House. Melania will go with Michelle Obama to the residence, while Obama and Trump discuss the transition of power.

This is, of course, not the meeting Obama wanted to have today. He and Trump have made no secret of their distaste for one another. Here's Obama, speaking at a Clinton rally in Florida on Tuesday:

"We cannot elect a president who vilifies minorities, who mocks Americans with disabilities, who calls immigrants criminals and rapists.

"We cannot elect a president who brags that, because he's famous, he can get away with stuff that looks like the definition of sexual assault."

(See 15:01 in the video below).

Trump, in turn, began the conspiracy theory that claimed Obama was a Muslim born outside of the US, and has repeatedly called Obama "the worst president in US history".

In response to Trump's relentless pursuit of the birther issue, Obama humiliated the businessman and reality TV star at the White House correspondents dinner in 2011 and again this year, in his absence.

"Is this dinner too tacky for the Donald? What could he possibly be doing instead? Is he at home eating a Trump steak, tweeting out insults to Angela Merkel?"

Obama brought the house down at the time, but watching back in the wake of Trump's win is a different experience altogether.

Obama acknowledged on Wednesday that his differences with Trump were "no secret". White House press secretary Josh Earnest said: "It's not going to be an easy meeting."

But Obama pledged to extend to his successor the same level of professional courtesy that he was shown by George W Bush's outgoing administration in 2008.

Trump will be accompanied to the White House by his wife Melania, who will have a meeting with Michelle Obama in the White House residence.  

That could also be slightly awkward, given that Melania was caught plagiarising parts of her Republican convention speech earlier this year from, believe it or not, Michelle Obama's Democrat 2008 convention speech.

Sadly, no cameras will capture these historic conversations. There will be photographs in the Oval Office after they meet and that will be that. None of the four will want to linger.

The vice-president's office has just announced that Joe Biden will meet with Mike Pence later today, after the Obama-Trump meeting. 

Ahead of the vice-presidential debate, Joe Biden trashtalked Pence with some sideways advice.

"Think about whether you made the right decision," Biden said, hours before Pence’s debate with Tim Kaine.

"Because it could be a long day in that office over there if you don't agree with the president," he said, pointing to the window at the White House.

Pence, a former six-term congressman, has spent decades in politics. He has faced controversy over his support for so-called gay-conversion therapies, but he could prove a powerful ally for Trump in Washington.

Image source, AP

Image source, AP

President-elect Donald Trump and Vice president-elect Mike Pence will meet with Paul Ryan, the speaker of the House of Representatives, after Trump's meeting with Obama at the White House.

The meeting is set for 12:30 EST (17:30 GMT) and will take place at the Capitol Hill Club, Republican sources told Politico, external.

Trump and Ryan clashed repeatedly during the presidential campaign, with Ryan once describing Trump's remarks as "textbook racism" after the candidate said a US judge with Mexican parents would be biased against him.

When the now-infamous "Access Hollywood" tape emerged, in which Trump said he "grabs" women "by the pussy" if he wants to, Ryan said he could not defend his own party's nominee.

As well as the White House, and the limousine, and the secret service detail, etc etc, President Trump will in January inherit the @POTUS Twitter account.

Image source, Twitter

It currently has as its banner image a picture of President Obama hand-in-hand with his family walking across the Edmund Pettus Bridge in Selma, Alabama, to commemorate the 50th Anniversary of the civil rights marches there.

That will probably have to go, and the account will be scrubbed of the Obama administration's tweets.

Many of those tweets were dedicated to pushing Obama's Affordable Care Act - Obamacare - which Trump has vowed to rip up once he is in office.

Others to women's rights, to fighting racism, and to progress for LGBT people.

Here's a selection of recent examples.

Women in the US are using social media to urge others to seek birth control options before Trump takes office, on 20 January. 

Birth control pills are currently free under the Affordable Care Act - aka Obamacare - but Trump has pledged to repeal the controversial act.

Many women have tweeted urging others to get an Intrauterine Device (IUD) - which can prevent pregnancy for up to five years.

Trump's victory could spell disaster for advocates of women's reproductive rights. He campaigned on an anti-abortion platform, saying he only supports the practice in cases of "rape, incest and the life of the mother".

Image source, AP

Here's a quick round up of some congratulations we haven't covered, gathered from regional media.

Saudi Arabia's King Salman has said: "We are looking forward to developing and enhancing historic bonds between the two countries."

Yemeni President Abd-Rabbuh Mansur Hadi said: "We are looking forward to working together for the sake of peace and stability in the region, especially in Yemen."

Tunisian President Beji Caid Essebsi has said he believed "the strategic partnership between the two countries" would continue. 

Algerian President Abdelaziz Bouteflika told Trump the world "is looking to you to play a big role - which I am confident of - for the sake of international peace and security."

Libyan Designate Prime Minister in the UN-backed government Fayez Sarraj said he "highly values US militarily and political support to the Libyan Government of National Accord and the Libyan people".

Here's how some newspapers around the world reported Trump's victory on their Thursday front pages, beginning with a fairly uncompromising message from France's Liberation.

Image source, Liberation

Image source, The Sydney Daily Telegraph

Image source, Die Welt

Image source, Aftenposten

Image source, El Periodico

Certain members of the Russian administration have not been shy about their support for a Trump presidency, and Trump has been solicitous in return. 

Moscow correspondent Steve Rosenberg is live at the Russian parliament to find out how the shock result is being received. 

You can send him your own questions live via the comments on Facebook.

To add a little bit of insult to injury yesterday for Hillary Clinton, a commemorative edition of Newsweek magazine had been sent out to stores early ready for her presumed victory.

She was even pictured by a Getty photographer signing copies backstage at a rally on Tuesday.

All pretty standard stuff to be fair, but the fact that copies made it to stores means the "Madam President" edition is likely to become a sought after collector's item, and not in the way she would have hoped.

Newsweek did not print a similar edition for Donald Trump.

Image source, Getty Images

This is an interesting bit of analysis, from CapX editor Rob Colvile. Clinton has been panned almost universally as a dreadful candidate, but was she? How do the votes stack up against history?

Click through to Twitter to read the entire thread.

Blame for Clinton's collapse has been directed, by some, at those perceived to have split the Democrat vote, or who voted for third party candidates without a hope, or just didn't vote at all.

Adding fuel to the fire are results like Michigan's, where 110,133 cast a ballot without voting for a presidential candidate, and Clinton lost by just 13,225 votes. 

Clinton and Trump were, according to some polls, the most unpopular presidential candidates in history, each with a roughly 60% unpopularity rating in the run up to the election.

Image source, AFP

Today Programme
BBC Radio 4

Barbara Res worked for Donald Trump as the chief engineer on New York's famed Trump Tower.

Res told the BBC this morning that she could not imagine the businessman having the discipline to be president.

"I can not imagine him doing a job where he doesn't just pick and choose what he wants to do, where if he feels like coming in he comes in, and if he feels like going to a meeting he goes to a meeting."

Listen below.

As anti-Trump protests erupted in cities across the US on Wednesday, hundreds attended a late-night candlelight vigil in front of the White House.

Donald Trump will meet President Obama there later today.

Image source, Reuters

Image source, Getty

Image source, EPA

Trump talks about China a lot, but what do they make of him? 

Stephen McDonell is talking Trump in Beijing with Professor Jia Xiudong of the China Institute of International Studies. 

You can watch live via Facebook and post questions for Jia in the comments.

Donald Trump has sought to reassure South Korea that he will maintain America's good relations with the country, according to SK president Park Geun-hye.

Trump promised during a 10-minute phonecall on Wednesday to maintain the countries' strong alliance and guard against what he called "the instability in North Korea", Park said.

Park's office quoted Trump as saying: "We are going to be with you 100%''.

Park could be forgiven for worrying. In a March interview with the New York Times, Trump accused South Korea of not contributing enough toward the cost of the tens of thousands of US troops in the country and suggested he might withdraw them if elected.

His comments were welcomed at the time by North Korea.

Trump also spoke to Japanese prime minister Shinzo Abe, Japanese officials said. A spokesman said Abe and Trump confirmed the importance of the Japan-US alliance and arrange to meet later this month.

Image source, Getty Images

Donald Trump showered Russia's President Vladimir Putin with praise during the campaign, calling Putin "a leader far more than our president".

He had also hinted that he would consider recognising Crimea as part of Russia, following its controversial annexation in 2014, and suggested lifting sanctions against Moscow.

Putin was quick to send Trump a congratulatory telegram, saying he hoped the two could work together to end the "crisis" in US-Russian relations.

Our correspondent in Moscow, Steve Rosenberg, takes a look at how the Russia media views the Republican's victory.

The New York Times has given a glimpse of the front page it hoped to print on Wednesday.

"Madam President", reads the simple banner headline.

"To some, the image you see here is a painful reminder of a historic presidency that did not come to pass.

"For others, it speaks volumes about a campaign that many underestimated since the very beginning."

More here, external.

Image source, NYT

Today Programme
BBC Radio 4

There is fear over what Trump's victory means for progress on climate change. He has repeatedly denied the phenonmenon and even threatened to pull out of a historic international accord signed in Paris earlier this year. 

Christine Whitman, a former Republican governor who also served as head of the US environment agency, told the BBC that Trump may try to reverse environment policies, but there was a limit on what he could do. 

Listen below.