On the show this week is Labour's shadow chancellor Rachel Reeves and the Treasury’s Financial Secretary Victoria Atkins
Rachel Reeves begins by saying the BBC needs to get its house in order after serious allegations against one of its presenters
She has also been speaking about her party's plan for the economy - she says she will not play fast and loose with it
On whether the Tories would cut taxes, Victoria Atkins says her party wants to do so but they have to be "fiscally responsible"
US Special Envoy for Climate, John Kerry, and actors James Norton and Luke Thompson are also on the show
And on the panel is former Conservative MP David Gauke,, broadcasting executive Stewart Purvis and Mirror editor Alison Phillips
You can watch the show live on BBC One and iPlayer or click the play button at the top of this page
We're bringing our live coverage of today's big political interviews to a close.
You can continue to follow the big stories on our Politics page here, and you can read Laura Kuenssberg's latest analysis here.
The page was edited by Heather Sharp and written by Jen Meierhans and Alys Davies.
Laura Kuenssberg
Presenter, Sunday with Laura Kuenssberg
Rachel Reeves wants to be the next Chancellor. She wants to be a Chancellor that can get the economy growing, sort out public services, and get taxes for working people down.
But it was abundantly clear this morning that if Labour wins the next election she will, above all else, be a Chancellor that keeps an extremely tight grip on spending.
As we said yesterday, that’s partly politics, but also partly a genuine plan.
But it was striking this morning that Reeves said again and again and again, that her "fiscal rules", her limits on spending, are at the top of her list.
She doesn’t want to delay the party’s plan for shifting the economy to a greener way of doing business. But if that has to wait because the sums don’t add up, so be it.
She disputed that her plans would be like the Conservatives’ for day-to-day spending as we head towards the next election.
But the two main parties do share an ethos that now is not the time to go crazy with public spending or tax cuts.
In political terms, the next election is a lifetime away, but after many months ahead in the polls, Reeves is seen as a likelier and likelier bet to be the next Chancellor.
A champion chess player as a child, she joked the party was a "rook ahead after about thirty moves", but playing an opponent that normally beats them, reluctant to take anything for granted at all.
We'll be closing our live coverage soon, but here's a chance to watch back what Labour shadow chancellor Rachel Reeves and Treasury minister Victoria Atkins said about the allegations reported in the Sun that a BBC presenter paid a teenager thousands of pounds for explicit images.
Reeves said the BBC needs to "speed up its processes", get its "house in order" and "give greater clarity" about what has gone on.
Reeves: BBC 'must get house in order' on explicit photos
Treasury Minister Victoria Atkins said the young person at the centre of the allegations should be kept in mind and that regarding the investigation, the BBC needed to "act swiftly".
Minister: BBC must 'act swiftly' on presenter allegations
Pete Saull
Political Correspondent, BBC Westminster
If you were hoping to hear radical, bold spending plans from politicians this Sunday morning you’ll have been sorely disappointed.
Instead, it felt like the representatives from two main parties were battling to see who could sound the most sensible.
It might seem boring, but with inflation stubbornly high and interest rates soaring, the general consensus is to avoid doing anything that might rock the boat even further.
Treasury minister Victoria Atkins was giving little away on public sector wages, amid reports the independent pay review bodies have recommended rises of around 6%.
Rachel Reeves, meanwhile, couldn’t offer cast iron guarantees on Labour’s climate investment pledge.
The economy looks set to be the defining issue at the general election, but both parties feel there’s a limit to what they can do.
Well, we got through a lot in the hour. Here's a recap of this morning's interviews:
On the BBC presenter allegations...
On the economy...
On climate and theatre...
After all that fast-past politics, we wouldn't want you to miss this key moment from the end of the show..
Kuenssberg asked the panel who they would prefer to see as the next James Bond - after Norton answered somewhat coyly to the question during his interview a few minutes earlier.
He needs to be matcho, he needs to get into trouble occasionally, but he also needs to get the nation out of trouble, says media executive Stewart Purvis, and so - he says - it should be England cricketer Ben Stokes.
Miror editor Alison Phillips says she wonders whether Boris Johnson is trying to get in shape for the role, as he is now out of a job and he keeps running.
"Goodness me, there's a thought," says Kuenssberg.
But David Gauke thinks Stokes should stick with cricket.
A final chat with the panel brings the show to an end.
David Gauke is asked about his thoughts on Atkins' response to Kuenssberg's questions about public sector pay and the government's willingness to follow the recommendations of the pay rises recommended by independent pay review bodies.
Gauke says the government is in a "difficult position" on public sector pay, having staked a very clear position on backing independent pay review bodies and then clearly questioning whether they're going to follow through with that.
But he adds that there are concerns about how the rises would be paid for, adding that borrowing more makes the fight against inflation harder.
Mirror editor Alison Phillips says Atkins' response is "pretty outrageous".
We're talking about the people that got us through these last few years of the pandemic, she says, and not following through on pay review bodies' recommendations "just stinks."
Stay with us as we recap the key moments of the programme and bring your more updates and analysis.
Norton 'proud' of overcoming diabetes stage challenge
Norton has type 1 diabetes and has had to think of "ingenious ways" of making sure his sugar levels remain stable during the three-and-a-half-hour play - in which he only leaves the stage once during the interval.
He says performing in a play is a "challenging" environment anyway, with adrenaline affecting his sugar levels.
"I have to find ingenious ways of working out what my sugar levels are doing and then mitigating against going hypoglycemic with the risky low, which will cause me to become disorientated and sweat and eventually faint."
To mitigate against that, he has glucose shots spread around the stage, he says.
"If you’d ask me six months ago whether I’d have been able to do a three-and-a-half-hour play as a diabetic I would have been really scared.
"I’m so proud that I’ve proved to myself and other type 1 diabetics that I can do that."
We're now hearing from actors James Norton and Luke Thompson. They are currently performing in the play A Little Life in London.
Asked about how physically exerting the three-and-a-half-hour production is - which features scenes of self-harm and sexual abuse - Norton says that while “it’s the hardest thing I’ve ever done, career or otherwise… it’s also been the most rewarding.”
Male nudity features heavily in the play too. Asked about an early incident where a picture of Norton performing naked on stage was taken on a mobile phone and published in a tabloid newspaper, and whether it led to Norton feeling objectified, Norton says that while it was a moment of objectification, the general reaction from the theatre community, and the wider community, was “incredibly heart-warming”.
They “really came together and said this is just not appropriate at all," Norton says.
Laura next asks the Treasury’s Financial Secretary Victoria Atkins if people should forget about any tax cuts before the next election.
She says the Chancellor Jeremy Hunt has said "as soon as we can we will cut taxes but we have to be fiscally responsible".
Atkins says the priority has to be tackling inflation as it's the quickest way to make wage packets go further.
Pressed on whether tax cuts are off the table for the foreseeable future, Atkins says the only way we will bring inflation down is by being responsible, not by borrowing £28m as Labour has suggested.
Atkins is next asked about strikes and pay disputes concerning public sector workers.
Kuenssberg asks her whether the government will agree to give public sector workers a 6% pay rise if that's what independent review bodies recommend.
Atkinson says the reports are being looked through "very carefully" and the decision will be announced in due course.
Pressed on the fact that independent review bodies have said public sector wages are so far behind the private sector there is little risk of the government setting a precedent for more inflationary pay rises, Atkins replies that she has not seen the report but that the "wider issue of the jobs market" is the "sticky issue" of high employment rates causing higher inflation.
"This is why we are having to be so very careful to get a grip on inflation," Atkins says.
Asked whether the principle of following the recommendations made by independent pay review bodies should be scrapped, Atkins says: "We value the bodies, we've got the report and we're looking into it."
Treasury Financial secretary quizzed on public sector pay
Treasury minister Victoria Atkins is next up.
She's first asked what should the BBC do about the allegations relating to a BBC presenter.
She says the allegations are "very, very serious" and the BBC needs to "act swiftly" and needs to follow the procedures it says it has in place.
She says as a former minister for safeguarding and having worked for 20 years in the Ministry of Justice, "we have to remember that there is a young person at the centre of this who will be feeling all sorts of emotions" and we need to "keep this person in our minds".
Laura is talking to broadcasting executive Stewart Purvis about the story surrounding a top BBC presenter accused of paying a 17-year-old for sexually explicit images.
He says the Sun is reporting that the parent of the young person involved contacted the BBC on May 19 and that an investigator met this parent on Friday evening and documents were handed over.
Purvis says if this Sun report is true that is a "very long time" between between the complaint and the meeting.
He says key questions are what was the BBC's appetite for getting to the truth and what were the specifics of how it is attempting to get to the truth.
He says the BBC hasn't explained itself - but it is worried about legal issues and trying to get through the process, and because of this it "doesn't look transparent".
He says the BBC's the statement looked as though it was was pointing to the parent as the problem.
Laura asks Kerry about the US's pledge to send cluster bombs to Ukraine. She asks about the concerns that they could kill civilians.
Kerry says there was always going to be a worry about how things are used.
But he says that, as climate envoy, he is not getting involved in foreign policy and political issues of the day.
Next Kerry is asked about the UK's position on climate change, with Kuenssberg saying that the nation used to "boast" about it being a leader on climate change, but now its position seems to be lagging.
Kerry responds, saying it's a global challenge to get people moving faster.
Pressed on whether he will bring that up with the UK specifically, he says: "We're not going to sit there and tell people things", but adds that during President Biden's meeting with Rishi Sunak this week climate will be a "critical part of the conservation".
Next up is the US’s Special Envoy for Climate John Kerry and Laura asks him if people around the world are concerned about the climate crisis.
He says the Just Stop Oil protests show people are concerned and that people are dying around the world due to climate change.
Kerry says we have two choices to tackle it: you either capture the emissions or you don't create them in the first place.
He says it is important to change the dynamic between the US and China as the two largest economies and emitters and they need to work together better. He says the Chinese are now talking about how to work constructively and US President Joe Biden is deeply committed to achieving this.
Kerry speaks about increasing investment by the private sector, saying this is what will accelerate the transition to greener energy.
John Kerry: Climate crisis affecting every aspect of life
Kuenssberg asks about Labour's chances of winning the next general election, referencing the fact that Reeves played chess as a child.
Responding, Reeves says: "We're a rook ahead after about 30 moves but we're playing an opponent that usually beats us.
"This is not in the bag but we are determined to offer to the country the hope that it needs but also the reassurance that our sums add up."
Laura next asks Labour shadow chancellor Rachel Reeves about Labour's criticism of the Conservative party's introduction of austerity measures.
She asks if Labour is at risk of doing the same thing in its plans to tackle the economy if it were to get into power.
Reeves says "they're not on the same track".
She says borrowing to invest is different from borrowing or day-to-day spending. She brings up the Labour policy of changing the tax rules for those with non-dom status.
Asked whether this is a marginal move that would not yield a large amount of money, Reeves says £3.5bn to be raised is not marginal.
Reeves says she has no desire to see the tax burden on working people increase - in fact she would like to see it lower but she says it needs to be built on the rock of fiscal stability.
Shadow chancellor: UK needs to get a grip of its debt
Next, Reeves is asked about Labour's earlier pledge - now delayed - to spend £28bn a year on green projects.
Asked whether Labour is committed to realising that promise by the end of their first Parliament - if they won the next election - Reeves says she "can't overstate the damage" the Conservatives have done to the economy.
She notes that inflation is at 8.7%, stating that Labour will not play "fast and loose" with public finances.
"I an not going to apologise for making sure our sums add up," she adds.
Pressed again on whether they can reach that sum by the end of the first Parliament, she says: "We're confident that we can get there. But it's subject to our fiscal rules."
Moving on, Laura asks Rachel Reeves if she will spend taxpayers' money on housing.
Reeves says it's not about spending taxpayers' money on building new houses it's about changing the planning system.
She says planning targets removed by the current government have stopped new homes being built and housebuilders want these targets back.
She says that housebuilders have told Labour that if this system can be unlocked then young people and families who dream of home ownership will be able to fulfil that dream.