Savings - Stick (at around 2%) or twist (at around 4%)?

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I've got around £80k in savings which are currently in a mix of instant access, regular savers and 1 year fixes. The average interest rate overall is about 2%.
I'm using the instant access to top up my pension (via salary sacrifice each month, and then topping up my income from my savings). Also need to keep around half the total available for a family emergency at short(ish) notice.
Would you be taking out 1 year fixes on savings accounts at ISAs now? Or sticking to what I've got in the hope that higher rates will be forthcoming?
And how long would you wait?
I'm using the instant access to top up my pension (via salary sacrifice each month, and then topping up my income from my savings). Also need to keep around half the total available for a family emergency at short(ish) notice.
Would you be taking out 1 year fixes on savings accounts at ISAs now? Or sticking to what I've got in the hope that higher rates will be forthcoming?
And how long would you wait?
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But to maximise income now then if the 1 year fix is 2% above the variable then the variable would have to catch up and then also overtake by that same gap in the year to work out better than the fix which earns a higher rate from day 1
Also taking out new smaller fixes as new good rates appear every few months might help
"For example, were someone to hold £10,000 for six months in an easy-access account paying 2 per cent and then fix, they would need the best fixed deal to be paying almost 6.2 per cent over the next six months to replicate the interest they would have earned in 12 months by opting for the best 4.1 per cent one-year deal now.
Of course, on the flip side, if in two months time the best one-year rate pays 5 per cent, then keeping cash in a 2 per cent easy-access deal for a short period of time could pay off. After two months in an easy-access deal paying 2 per cent followed by the next 10 months in a one-year deal paying 5 per cent, someone will effectively earn £451 in interest. That's £41 more than if they had opted for the best one-year fix right now."
So basically, you'll need to do a few calculations and a lot of guessing about what future interest rates will be to decide when is the best time to fix.
I’ve just put £10k into YBS easy access at 2.5% , £5k into Investec 1 year fix at 3.9% and will drop £5k x 3 in March, September and March 24, that should give us a decent spread.
But that would be the case if it was in the Online Rainy Day Account Issue 2.