The pound rallied back up to 1.51 US dollars after the Bank of England decision not to change the rate of quantitative easing.
The pound had earlier dipped below 1.50 against the US dollar on fears that the Bank would restart the printing presses.
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In a wide-ranging Peston on Sunday interview, he said Parliament security needs reviewing and the PM's counter-terror strategy is flawed.
The star celebrated his 70th birthday with his family before attending a celebrity-filled bash held in his honour.
Douglas Carswell told ITV's Peston On Sunday he wanted to "support" the government as a "critical friend" but refused to rule out a return.