HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 154

Investment Analysis, Gross Profit.

Page 154 highlights

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 = -c--c-o--o-s---s-t--tj--f-o-d--f-i--s-l-e-a--a--f--s---id-n---ag----k--(-fn--l--)s---a-----fc--s-o--a-s---(t--f--o,---fx---o-k---w)--F--n---D-i-n---Sg----A-(--n-F---)--F-(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----(U---P--(--P-------V-----)V------)---F-- 153

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153
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.
i
PMT
= ((1 +
r
/ C)
C/P
- 1)100
Investment Analysis
Lease vs. Purchase
PMT
p
= loan payment for purchase.
PMT
L
= lease payment.
I
n
= interest portion of
PMT
p
for period
n
.
D
n
= depreciation for period
n
.
M
n
= maintenance for period
n
.
T
= marginal tax rate.
Cost of owning(
n
) =
PMT
p
-
T
(
I
n
+
D
n
) + (1 -
T
)
M
n
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
cos
1
i
+
(
)
n
----------------------------------------------------------------------------------------------------------
n
1
=
k
cost of leasing (
n
) - cost of owning (
n
)
Net purchasing advantage =
OL
UP
V
(
)
UP
V
(
)
F
--------------------------------
=