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finance

Arithmetic Gradients

$$\scriptsize P = A \left[\frac{(1+i)^n-1}{i(1+i)^n}\right] + G \left[\frac{(1+i)^n-in-1}{i^2(1+i)^n}\right]$$

Equivalent Uniform Annual Cost

$$A = P \left[\frac{i(1 + i)^n}{(1 + i)^n - 1}\right]$$

Present and Future Value

$$F = P(1 + i)^n$$