Start asking questions here Cy One payment Co (1+1)" Series of payments Standard Perpetuity (payments start at t=1) Co Perpetuity = C r-g Cy Delayed Perpetuity (payments start at t=y) Co 1-g (1+7) Variables Annuity y = year of first payment n = number of payments Co r = interest rate g = growth rate Co cash flow at n=0 = (present value) Payments are variable C C (1+r) (1+r) + + Cy (1+7) 1 Payments are constant Annuity Due (payments start at t=0) |C = (1+r) \"_r(1+r), Cy = cash flow at time y (future dollars) Payments are growing 1 at constant rate Standard Annuity (payments start at t=1) rr(1+r) 1 Cy Delayed Annuity (payments start at t=y) " (1+r)" (1+7)-1 | C = Growing Annuity Due (payments start at t=0) Standard Growing Annuity (payments start at t=1) Delayed Growing Annuity (payments start at t=y) 1+g C 1+g C 1+g 1- 1 Co r-g r-g 1+r r-g 1+" Co (1+7) Start asking questions here One payment |FV = C (1+r)" Series of payments Variables y = year of first payment n = number of payments r = interest rate g = growth rate FV = future value in final year Fin Yr for sing pymt = n FinYr for annuity = n+y-1 Cy = cash flow at time y Annuity Payments are variable C = C (1+r) + C (1 +)- +.. +C ((1+r)"1 Payments are constant FV=C "" (1+r)-(1+g) r>> g FV = C r-g Payments are growing at constant rate r=g FV = C (n(1+r)+1)