Laws are already in place criminalising any terrorist financing. But what does the Home Office mean when it says it wants to prevent firms 'inadvertently' providing cover to meet ransom demands?
As the state launches a publicity drive to warn of the need for greater surveillance, this week is also about the lessons learned from Woolwich.
An inquiry finds nearly one in five crimes in England and Wales goes unrecorded every year - and nearly 200 rape offences were dropped between November 2012 and October 2013.
Terrorist kidnapping and extortion is now a multi-million pound industry, according to a UN report - and the average value of a foreign hostage is £1.7m.
The government suffers a significant defeat in attempts to avoid a trial over allegations of complicity in the imprisonment, rendition and torture of a Libyan couple in 2004.
Ali Dalloul - who has a UK passport - was helped by the Foreign Office to get his family out of Gaza. But now the Home Office won't let his Palestinian children into this country.
EXCLUSIVE: The UK's biggest sham marriage trial has collapsed with the judge accusing UKBA officers of deliberately concealing evidence and lying under oath.
The UK head of counter-terrorism says British security services are now dealing with 100 potential terror offences each week, with more than half involving referrals into de-radicalisation programmes.
A group of senior police officers in charge of keeping undercover policing in check lacks "teeth" and should be overhauled immediately, a damning report by inspectors has said.
The high court declares the king of Bahrain's son does not have immunity from prosecution for torture, after the DPP conceded she was wrong not to pursue the case on immunity grounds.
The Conservatives say they will scrap Britain's human rights bill - and bring in a new set of rules. But some leading Tories have condemned the plans, describing them as unworkable.
Exclusive: the victim of an unlawful arrest who was beaten with batons and sprayed with CS gas by police while driving to buy nappies, tells Channel 4 News he was a victim of racial stereotyping.
The UK's largest ever sham marriages trial begins with prosecution claims that bogus weddings at a church in south London were conducted on an "industrial scale".
Archbishop of Canterbury Justin Welby deplores the lack of a global strategy from world leaders for what he said could not be understood as a local problem.
The Metropolitan police issues a public apology for the first time, to a black female police officer who has been awarded nearly £40,000 in compensation for race and sexual discrimination.
It only takes one wannabe British jihadist to slip through the net so the government's new anti-terror proposals must grapple with what measures can stop the flow.