Day 3 Equations

Question 1

(P/F)

Answer 1

(1 + r/m)^(-mt); i = r/m, n = mt

Question 2

(F/P)

Answer 2

(1 + r/m)^(mt); i = r/m, n = mt

Question 3

(P/A)

Answer 3

[1 - (1 + i)^-n] / i

Question 4

(F/A)

Answer 4

[(1 + i)^n - 1] / i

Question 5

continuously compounding

Answer 5

F = Pe^rn

Question 6

how to solve uniform arithmetic gradient

Answer 6

Sci Cal: “A+Bx” -> x=year, y=cost -> Σ(xŷ(1 + i)^(-x) ), 1, n)

Question 7

how to solve uniform geometric gradient

Answer 7

Sci Cal: “AB^x” -> x=year, y=cost -> Σ(xŷ(1 + i)^(-x) ), 1, n)

Question 8

capitalized cost

Answer 8

CC = FC + A/i + P/[(1 + i)^n - 1]

Question 9

Binomial Distribution

Answer 9

P(r) = nCr(p^r)(1-p)^(n-r)

Question 10

Poisson Distribution

Answer 10

P(x) = [(e^-λ)*(λ^x)]/x!

Question 11

Probability

Answer 11

P = Desired/SampleSpace

Question 12

Derangement

Answer 12

!n = [n!/e]