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The phrase "a capital sum" is correct and usable in written English.
It is typically used in financial contexts to refer to a large amount of money or principal amount, often in relation to investments or loans.
Example: "The investor decided to contribute a capital sum to the startup to help it grow."
Alternatives: "a principal amount" or "a large investment".
Exact(7)
The public contribution to the £175m bridge has grown steadily from an initial sum of £4m (to cover planning and feasibility studies) to a capital sum of £30m from TfL, matched by another £30m from the Treasury.
The two-yard runs, after all, are being played not in a video game but in a real world where the energy and will to get beaten up is a capital sum reduced by expenditure; those two-yard runs expend it.
Theresa Lloyd, author of a new study of "Why Rich People Give" in Britain, points enviously to the possibility in the United States of making an irrevocable gift of a capital sum, with immediate tax relief and the possibility for the donor to continue to live on the income from the capital.
The unrecognized reality is that we already pay congressmen a capital sum.
"We were always requiring a capital sum and this is the strongest way to do that.
But is this desirable?; Modest proposal: Revolutionize the incentive structure by rewarding success in congressional elections with a capital sum.
Similar(53)
The cost of a buy-out thus rises when bond yields fall, since it takes a bigger capital sum to generate a given pension income.
So in exchange for an annual pension of £10,000, a worker can accept an equivalent capital sum - say £300,000.
The corporation has added £900,000 of benefit-in-kind sponsorship to a similar capital sum committed by the Football Foundation.
Rates are low in real as well as in nominal terms, which makes it harder to accumulate a given capital sum.
Especially if, as it should be, the capital sum is annualised into a yearly revenue figure of a few per cent of the total value – it wouldn't do much more than pay for East End Life, the banners and the Merc.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com