1. ## the

Please see the following sentences. Do I need to add "the" in front of Corporate default probability in the second sentence? Do I need to add "the" in front of "four standard deviation" and "combined probability of a payment default combined with an ESCO default"?

The formula for calculating the combined probability of a payment default combined with an ESCO default is:

Probability of a Payment Offset x 4 Standard Deviation Expected Offset as % of Payment x Corporate Default Probability

Corporate default probability in the first year is 0.13%.
Four Standard Deviation Expected Offset as % of Payment is... Therefore, the combined probability of a payment default combined with an ESCO default is 4.6667% x 26. 8084% x 0.13%, or 0.001626%.

2. ## Re: the

I would say no. There are no hard and fast rules for translating mathematical equations into English, but I think articles are often omitted in well-respected usage. One might well read a sentence like yours in the Economist and be untroubled by the absent articles.

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