Compounding Periods Different From Payment Periods

C = number of compounding periods per year.

P = number of payments periods per year.

i = periodic interest rate, expressed as a percentage.

r = i / 100, periodic interest rate expressed as a decimal.

iPMT = ((1 + r / C)C/P - 1)100

Investment Analysis

Lease vs. Purchase

PMTp = loan payment for purchase.

PMTL = lease payment.

In = interest portion of PMTp for period n.

Dn = depreciation for period n.

Mn = maintenance for period n.

T = marginal tax rate.

k

 

Net purchasing advantage =

cost of leasing (n) - cost of owning (n)

(1 + i)n

n = 1

 

Cost of owning(n) = PMTp - T(In + Dn) + (1 - T)Mn

Break-Even Analysis and Operating Leverage

GP = Gross Profit.

P = Price per unit.

V = Variable costs per unit.

F = Fixed costs.

U = number of Units.

OL = Operating Leverage.

GP = U(P - V) - F

OL =

U(P V)

U--------------------------------(PV) – F

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HP 12C manual Investment Analysis, Compounding Periods Different From Payment Periods, Lease vs. Purchase, 153