Permanent TSB (PTSB) has written to some 70,000 residential mortgage customers offering them discounts of up to 0.8% on standard variable mortgage rates if they apply to switch to new products based on loan-to-value ratios.
This news breaks ahead of Finance Minister, Michael Noonan's meeting with the bank's leaders to discuss its standard variable rate.
He will meet the leaders of all of Ireland's major banks during this week and next.
Mr Noonan has been calling on banks to pass on savings from the record-low interest rates being charged by the European Central Bank.
The new offering is called a managed variable rate (MVR) - it offers savings of between 0.2% and 0.8%, depending on customer's loan to value ratios.
PTSB currently has one of the highest SVRs, at 4.5%.
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With Greece set to vote in its second general election in 2015 on Sunday, September 20th, the current prime minister, and the leader of Syriza, Alexis Tsipras has rejected a possible coalition with the centre-right party, New Democracy.
Mr Tsipras has said that voters can either have a "progressive or conservative government" - not a mix of the two.
Evangelos Meimarakis, the leader of New Democracy - the party who held power before Syriza - had offered to form a coalition with the left wing party.
New Democracy has gained massive ground on Syriza in recent opinion polls, but Syriza has maintained a slim lead.
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On average Irish business mobile customers pay three times more than their British counterparts for the same services, according to new figures from Comreg.
An average month where users make 300 calls, send 225 texts and use 1GB of data cost €42.50 in Ireland - and only €15.25 for business customers in the UK.
There is a discrepancy between Irish business rates and regular rates. Business services are 38% more expensive than the EU average, while non-business packages are between 15% to 18% cheaper.
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Nearly eight out of 10 workers have been reduced to tears after getting a telling off from their bosses.
Research carried out by Peninsula Ireland also shows that of nearly 950 people polled, 770 hated their job, and 720 felt intimidated because of the pressure to outperform their colleagues.
The HR company says work shouldn't be a place that instils fear in workers, rather it should be a place that 'fuels passion and creativity'.
It is warning companies that creating a culture based on fear can only be bad for business.