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A.	
  What	
  is	
  a	
  LEASE?	
  
	
  
• Rental	
  agreement	
  
• With	
  series	
  of	
  payments	
  
• That	
  extends	
  for	
  a	
  year	
  or	
  more	
  
	
  
B.	
  Parties	
  Involved:	
  
a) Lessor	
  (Owner	
  of	
  Asset)	
  
b) Lessee	
  (Borrower	
  of	
  Asset)	
  
	
  
C.	
  Types	
  of	
  Lease:	
  
	
  
1. Operational	
  Leases:	
  	
  
• Short	
  term	
  and	
  Cancelable	
  	
  
• at	
  the	
  option	
  of	
  the	
  lessee	
  
2. Financial	
  Leases:	
  	
  
• Long-­‐Term	
  and	
  Non-­‐Cancelable	
  
• Long-­‐Term:	
  extends	
  at	
  the	
  economical	
  life	
  of	
  the	
  
asset	
  
• Non-­‐cancelable	
  UNLESS	
  Lessor	
  is	
  reimburse	
  for	
  any	
  
loss	
  
	
  
D.	
  Leases	
  Differ	
  in	
  Service:	
  
1. Full	
  Service/Rental/Lease:	
  	
  
• LESSOR	
  promises	
  to	
  maintain	
  and	
  insure	
  the	
  
equipment	
  and	
  to	
  pay	
  property	
  tax	
  due	
  on	
  it	
  
2. Net	
  Lease:	
  
• LESSEE	
  promises	
  to	
  maintain	
  and	
  insure	
  the	
  
equipment	
  and	
  to	
  pay	
  property	
  tax	
  due	
  on	
  it	
  
3. Direct	
  Lease:	
  
• LESSEE	
  identifies	
  the	
  equipment,	
  arranges	
  for	
  the	
  
leasing	
  company	
  to	
  buy	
  it	
  from	
  the	
  manufacturer,	
  and	
  
signs	
  a	
  contract	
  with	
  the	
  leasing	
  company.	
  
4. Sale	
  and	
  lease-­‐back	
  Arrangements:	
  	
  
• The	
  firm	
  sells	
  an	
  asset	
  it	
  already	
  owns	
  and	
  leases	
  it	
  
back	
  from	
  the	
  buyer	
  
5. Leveraged	
  Lease:	
  
• The	
  lessor	
  puts	
  up	
  some	
  of	
  the	
  money	
  required	
  to	
  
purchase	
  the	
  asset	
  and	
  borrows	
  the	
  rest	
  from	
  a	
  
lender.	
  	
  
• The	
  lender	
  is	
  given	
  a	
  senior	
  secured	
  interest	
  on	
  the	
  
asset	
  and	
  an	
  assignment	
  of	
  the	
  lease	
  and	
  lease	
  
payments.	
  The	
  lessee	
  makes	
  payments	
  to	
  the	
  lessor,	
  
who	
  makes	
  payments	
  to	
  the	
  lender.	
  
E.	
  Sensible	
  Reasons	
  for	
  Leasing:	
  
• Short-­‐term	
  leases	
  are	
  convenient	
  
	
  
• 	
  Lower	
  Monthly	
  payment	
  
	
  
• 	
  Protection	
  against	
  obsolescence	
  
	
  
• 	
  Cancellation	
  options	
  are	
  valuable	
  
o Some	
  leases	
  that	
  appear	
  expensive	
  really	
  are	
  
fairly	
  priced	
  once	
  the	
  option	
  to	
  cancel	
  is	
  
recognized.	
  
• 	
  Maintenance	
  is	
  provided	
  
o Under	
  a	
  full-­‐service	
  lease,	
  the	
  user	
  receives	
  
maintenance	
  and	
  other	
  services.	
  
• 	
  Standardization	
  leads	
  to	
  low	
  costs	
  
o Standardization	
  makes	
  it	
  possible	
  to	
  “lend”	
  small	
  
sums	
  of	
  money	
  without	
  incurring	
  large	
  
investigative,	
  administrative,	
  or	
  legal	
  costs.	
  
	
  
• 	
  Leasing	
  and	
  financial	
  distress	
  
o LESSOR	
  may	
  fare	
  better	
  during	
  Bankruptcy	
  
i. 	
  if	
  asset	
  is	
  deemed	
  “essential”	
  by	
  the	
  court	
  
then	
  the	
  court	
  will	
  AFFRIM	
  the	
  lease.	
  The	
  
lessee	
  must	
  still	
  continue	
  to	
  pay	
  the	
  lessor	
  
and	
  continue	
  to	
  use	
  the	
  asset	
  (1
st
	
  scenario)	
  
ii. If	
  court	
  REJECTS	
  lease,	
  then	
  the	
  lessor	
  may	
  
recover	
  asset	
  (2
nd
	
  scenario)	
  
iii. If	
  the	
  LESSEE	
  renegotiates	
  with	
  the	
  lessor,	
  
lessor	
  might	
  be	
  forced	
  to	
  accept	
  lower	
  
lease	
  payments	
  (3
rd
	
  scenario)	
  
• Tax	
  Shield	
  can	
  be	
  used:	
  
o Lessor	
  owns	
  asset,	
  and	
  so	
  deducts	
  its	
  
depreciation	
  
o If	
  lessor	
  can	
  make	
  better	
  use	
  of	
  tax	
  shield	
  than	
  
lessee,	
  then	
  lessor	
  should	
  own	
  equipment	
  and	
  
pass	
  on	
  some	
  tax	
  benefits	
  to	
  lessee	
  
o So	
  direct	
  tax	
  gain	
  to	
  lessor,	
  indirect	
  gain	
  to	
  lessee	
  
F.	
  Dubious	
  Reasons	
  for	
  Leasing	
  
• Leasing	
  avoids	
  capital	
  expenditure	
  controls	
  
o Leasing	
  may	
  enable	
  an	
  operating	
  manager	
  to	
  avoid	
  
the	
  approval	
  procedures	
  needed	
  to	
  buy	
  an	
  asset	
  
• 	
  Leasing	
  preserves	
  capital	
  
If	
   Greymare	
   Bus	
   Lines	
   leases	
   a	
   $100,000	
   bus	
  
rather	
  than	
  buying	
  it,	
  it	
  does	
  conserve	
  $100,000	
  
cash.	
  It	
  could	
  also	
  (1)	
  buy	
  the	
  bus	
  for	
  cash	
  and	
  
(2)	
  borrow	
  $100,000,	
  using	
  the	
  bus	
  as	
  security.	
  
Its	
   bank	
   balance	
   ends	
   up	
   the	
   same	
   whether	
   it	
  
leases	
   or	
   buys	
   and	
   borrows.	
   It	
   has	
   the	
   bus	
   in	
  
either	
  case,	
  and	
  it	
  incurs	
  a	
  $100,000	
  liability	
  in	
  
either	
  case.	
  
	
  
• 	
  Leases	
  may	
  be	
  off	
  balance	
  sheet	
  financing	
  
o In	
  some	
  countries	
  financial	
  leases	
  are	
  off-­‐	
  balance-­‐
sheet	
  financing;	
  that	
  is,	
  a	
  firm	
  can	
  acquire	
  an	
  asset,	
  
finance	
  it	
  through	
  a	
  financial	
  lease,	
  and	
  show	
  neither	
  
the	
  asset	
  nor	
  the	
  lease	
  contract	
  on	
  its	
  balance	
  sheet.	
  
• 	
  Leasing	
  effects	
  book	
  income	
  
o Leasing	
  can	
  make	
  the	
  firm’s	
  balance	
  sheet	
  and	
  
income	
  statement	
  look	
  better	
  by	
  increasing	
  book	
  
income	
  or	
  decreasing	
  book	
  asset	
  value,	
  or	
  both.	
  
o A	
  lease	
  that	
  qualifies	
  as	
  off-­‐balance-­‐sheet	
  financing	
  
affects	
  book	
  income	
  in	
  only	
  one	
  way:	
  The	
  lease	
  
payments	
  are	
  an	
  expense.	
  
G.	
  Financial	
  accounting	
  Standard	
  Board(FASB)	
  and	
  Leases	
  
The	
  FASB	
  defines	
  capital	
  leases	
  as	
  leases	
  that	
  meet	
  any	
  one	
  of	
  
the	
  following	
  requirements:	
  
• 	
  The	
  lease	
  agreement	
  transfers	
  ownership	
  to	
  the	
  lessee	
  
before	
  the	
  lease	
  expires.	
  
• 	
  The	
  lessee	
  can	
  purchase	
  the	
  asset	
  for	
  a	
  bargain	
  price	
  
when	
  the	
  lease	
  expires.	
  
• 	
  The	
  lease	
  lasts	
  for	
  at	
  least	
  75%	
  of	
  the	
  asset’s	
  estimated	
  
economic	
  life.	
  
• 	
  The	
  present	
  value	
  of	
  the	
  lease	
  payments	
  is	
  at	
  least	
  90%	
  of	
  
the	
  asset’s	
  value.	
  
	
  
H.	
  International	
  Financial	
  Reporting	
  Standards	
  (IFRS)	
  and	
  Lease	
  
A	
  lease	
  is	
  classified	
  as	
  a	
  finance	
  lease	
  if	
  it	
  transfers	
  substantially	
  all	
  
the	
  risks	
  and	
  rewards	
  incident	
  to	
  ownership.	
  All	
  other	
  leases	
  are	
  
classified	
  as	
  operating	
  leases.	
  Classification	
  is	
  made	
  at	
  the	
  
inception	
  of	
  the	
  lease.	
  
	
  
I.	
  Situations	
  that	
  would	
  normally	
  lead	
  to	
  a	
  lease	
  being	
  classified	
  as	
  a	
  
finance	
  lease	
  include	
  the	
  following:	
  
i. 	
  the	
  lease	
  transfers	
  ownership	
  of	
  the	
  asset	
  to	
  the	
  lessee	
  by	
  
the	
  end	
  of	
  the	
  lease	
  term	
  	
  
ii. 	
  the	
  lessee	
  has	
  the	
  option	
  to	
  purchase	
  the	
  asset	
  at	
  a	
  price	
  
which	
  is	
  expected	
  to	
  be	
  sufficiently	
  lower	
  than	
  fair	
  value	
  at	
  
the	
  date	
  the	
  option	
  becomes	
  exercisable	
  that,	
  at	
  the	
  
inception	
  of	
  the	
  lease,	
  it	
  is	
  reasonably	
  certain	
  that	
  the	
  
option	
  will	
  be	
  exercised	
  	
  
iii. 	
  the	
  lease	
  term	
  is	
  for	
  the	
  major	
  part	
  of	
  the	
  economic	
  life	
  of	
  
the	
  asset,	
  even	
  if	
  title	
  is	
  not	
  transferred	
  	
  
iv. 	
  at	
  the	
  inception	
  of	
  the	
  lease,	
  the	
  present	
  value	
  of	
  the	
  
minimum	
  lease	
  payments	
  amounts	
  to	
  at	
  least	
  substantially	
  
all	
  of	
  the	
  fair	
  value	
  of	
  the	
  leased	
  asset	
  	
  
v. 	
  the	
  lease	
  assets	
  are	
  of	
  a	
  specialized	
  nature	
  such	
  that	
  only	
  
the	
  lessee	
  can	
  use	
  them	
  without	
  major	
  modifications	
  being	
  
made	
  	
  
J.	
  Other	
  situations	
  that	
  might	
  also	
  lead	
  to	
  classification	
  as	
  a	
  finance	
  
lease	
  are:	
  
i. 	
  if	
  the	
  lessee	
  is	
  entitled	
  to	
  cancel	
  the	
  lease,	
  the	
  lessor's	
  
losses	
  associated	
  with	
  the	
  cancellation	
  are	
  borne	
  by	
  the	
  
lessee	
  	
  
ii. 	
  gains	
  or	
  losses	
  from	
  fluctuations	
  in	
  the	
  fair	
  value	
  of	
  the	
  
residual	
  fall	
  to	
  the	
  lessee	
  (for	
  example,	
  by	
  means	
  of	
  a	
  
rebate	
  of	
  lease	
  payments)	
  	
  
iii. 	
  the	
  lessee	
  has	
  the	
  ability	
  to	
  continue	
  to	
  lease	
  for	
  a	
  
secondary	
  period	
  at	
  a	
  rent	
  that	
  is	
  substantially	
  lower	
  than	
  
market	
  rent	
  	
  
K.	
  Evaluation	
  of	
  Leases	
  
◆ Lease	
  rentals	
  
– Allowable	
  deduction	
  for	
  lessee	
  
– taxable	
  income	
  for	
  lessor	
  
◆ Depreciation	
  
– Allowable	
  deduction	
  for	
  lessor	
  
– Not	
  allowed	
  for	
  lessee	
  
◆ Tax	
  payable	
  on	
  gain	
  from	
  sale	
  of	
  	
  underlying	
  asset	
  
– Payable	
  by	
  lessor	
  
– Avoided	
  by	
  lessee	
  
	
  
L.	
  Evaluation	
  of	
  LESSEE	
  
• Add	
  cost	
  of	
  asset	
  
• Subtract	
  lease	
  payments	
  
• 	
  Add	
  tax	
  shield	
  from	
  lease	
  payments	
  
• 	
  Subtract	
  depreciation	
  tax	
  shield	
  
• 	
  Subtract	
  residual	
  value	
  of	
  asset	
  
• 	
  Add/	
  subtract	
  tax	
  gain/loss	
  on	
  sale	
  of	
  asset	
  
M.	
  Evaluation	
  of	
  LESSOR	
  
• Subtract	
  Cost	
  of	
  asset	
  
• 	
  Add	
  lease	
  payments	
  
• 	
  Subtract	
  tax	
  shield	
  from	
  lease	
  payments	
  
• 	
  Add	
  depreciation	
  tax	
  shield	
  
• 	
  Add	
  residual	
  value	
  of	
  asset	
  
• 	
  Subtract/	
  Add	
  tax	
  loss/gain	
  on	
  sale	
  of	
  asset	
  
	
  	
  
EVALUATION	
  
	
   LESSEE	
   LESSOR	
  
COST	
  OF	
  ASSET	
   +	
   -­‐	
  
LEASE	
  PAYMENT	
   -­‐	
   +	
  
TAX	
  SHIELD	
  FROM	
  
LEASE	
  PAYMENT	
  
+	
   -­‐	
  
DEPRICIATION	
  TAX	
  
SHIELD	
  
-­‐	
   +	
  
RESIDUAL	
  VALUE	
  OF	
  
ASSET	
  
-­‐	
   +	
  
LOSS	
  ON	
  SALES	
  OF	
  
ASSET	
  
+	
   -­‐	
  
GAIN	
  ON	
  SALE	
  OF	
  
ASSET	
  
-­‐	
   +	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
v 	
  Acme	
  has	
  branched	
  out	
  to	
  rentals	
  of	
  office	
  furniture	
  to	
  
start	
  up	
  companies.	
  Consider	
  a	
  $3000	
  desk.	
  Desks	
  last	
  for	
  
six	
  years	
  and	
  can	
  be	
  depreciated	
  on	
  a	
  five-­‐	
  year	
  MACRS	
  
schedule.	
  What	
  is	
  the	
  break-­‐even	
  operating	
  lease	
  rate	
  	
  for	
  
a	
  new	
  desk?	
  Assume	
  that	
  lease	
  rates	
  for	
  old	
  and	
  new	
  
desks	
  are	
  the	
  same	
  and	
  that	
  Acme’s	
  pre-­‐tax	
  administrative	
  
costs	
  are	
  $400	
  per	
  desk	
  per	
  year.	
  The	
  cost	
  of	
  capital	
  is	
  9%	
  
and	
  the	
  tax	
  rate	
  is	
  35%.	
  Lease	
  payments	
  are	
  made	
  inn	
  
advance,	
  that	
  is,	
  at	
  the	
  start	
  of	
  each	
  year.	
  The	
  inflation	
  
rate	
  is	
  zero.	
  The	
  table	
  below	
  provides	
  the	
  depreciation	
  
schedule:	
  
	
  
Given:	
  
• Initial	
  Cost:	
  $3000	
  
• Pre	
  Tax	
  Admin	
  Cost=	
  $400	
  
• Cost	
  of	
  Capital/	
  Discount	
  Rate:	
  9%	
  
• Tax	
  Rate:	
  35%	
  
	
  
CASH	
  FLOWS	
  
-­‐3260	
   -­‐50	
   +76	
   -­‐58.40	
   -­‐139.04	
   -­‐139.04	
   +60.48	
  
	
  
Break  Even  Lease  Rate =
𝐵𝑟𝑒𝑎𝑘  𝑒𝑣𝑒𝑛  𝑙𝑒𝑎𝑠𝑒  𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  (𝐶)
(1 + 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)
	
  
Present  Value = C
!
!
−
!
!(!!!)
1 + 𝑟 	
  	
  
𝑃𝑟𝑒𝑠𝑒𝑛𝑡  𝑉𝑎𝑙𝑢𝑒 = 𝐶! +
𝐶!
(1 + 𝑟)!
+
𝐶!
(1 + 𝑟)!
+ ⋯ +  
𝐶!
(1 + 𝑟)!
	
  
Solution:	
  
𝑃𝑉 = −3260 −
50
1 + 0.09 !
+
76
1 + 0.09 !
−
58.40
1 + 0.09 !
−
139.04
(1 + 0.09)!
−
139.04
(1 + 0.09)!
+  
60.48
(1 + 0.09)!
	
  
	
  PV=	
  3,439.80	
  
3,439.80 = C
1
0.09
−
1
0.09 1 + 0.09
1 + 0.09 	
  
3,439.80
4.889651263
= C	
  
C	
  =	
  703.49	
  
Break  Even  Lease  Rate =
703.49
(1 + 0.35)
	
  
Break	
  Even	
  Lease	
  Rate	
  =	
  1,082.29	
  
	
  
	
  
	
  
v If	
  a	
  firm	
  can	
  borrow	
  at	
  9%	
  ,	
  what	
  discount	
  rate	
  should	
  the	
  
firm	
  use	
  to	
  discount	
  lease	
  cash	
  flows?	
  (The	
  marginal	
  tax	
  
rate	
  for	
  the	
  firm	
  is	
  35%)	
  	
  
	
  
Tax	
  Shield=	
  0.09(1-­‐0.35)	
  
Tax	
  Shield	
  =5.85%	
  
	
  
v Nodhead	
  College	
  needs	
  a	
  new	
  computer.	
  It	
  can	
  either	
  buy	
  
it	
  for	
  $250,000	
  or	
  lease	
  it	
  from	
  Compulease.	
  The	
  lease	
  
terms	
  requires	
  Nodhead	
  to	
  make	
  six	
  annual	
  payments	
  
(prepaid)	
  of	
  $62,000.	
  Nodhead	
  pays	
  no	
  tax.	
  Compulease	
  
pays	
  tax	
  at	
  35%.	
  Compulease	
  can	
  depreciate	
  the	
  computer	
  
for	
  tax	
  purposes	
  over	
  five	
  years.	
  The	
  computer	
  will	
  have	
  
no	
  residual	
  value	
  at	
  the	
  end	
  of	
  year	
  5.	
  The	
  interest	
  rate	
  is	
  
8%.	
  
a.	
  What	
  is	
  the	
  NPV	
  of	
  the	
  lease	
  for	
  Nodhead	
  College?	
  
Given:	
  	
  
𝑃𝑉 =
62,000
(1 + 0.08)!
!
!!!
	
  
NPV	
  cash	
  flow	
  of	
  Nodhead	
  is:	
  	
  
250,000	
  –	
  value	
  of	
  PV	
  =	
  -­‐59,500	
  
b.	
  What	
  is	
  the	
  NPV	
  for	
  Compulease?	
  
- Adjusted	
  discount	
  rate=	
  rD(1	
  -­‐	
  Tc)	
  
- The	
  after	
  tax	
  interest	
  rate	
  is:	
  	
  
(1 − 0.35)×  0.08 = 0.052 = 5.2%	
  
- The	
  NPV	
  cash	
  flow	
  of	
  Compulease	
  is	
  40.0	
  or	
  
$40,000	
  
c.	
  What	
  is	
  the	
  overall	
  gain(loss)	
  from	
  leasing?	
  
40,000 − 59,500 = −19,500	
  
v Suppose	
  that	
  National	
  Waferonics	
  has	
  before	
  it	
  a	
  proposal	
  
for	
  a	
  four-­‐year	
  financial	
  lease.	
  The	
  table	
  below	
  summarizes	
  
the	
  lease	
  cash	
  flows	
  of	
  the	
  proposal:	
  
	
  
These	
  flows	
  reflect	
  the	
  cost	
  of	
  machine,	
  depreciation	
  tax	
  
shields,	
  and	
  the	
  after-­‐tax	
  lease	
  payments.	
  Ignore	
  salvage	
  
value.	
  Assume	
  the	
  firm	
  could	
  borrow	
  at	
  10%	
  and	
  faces	
  a	
  
35%	
  marginal	
  tax	
  rate.	
  
a.	
  What	
  is	
  the	
  value	
  of	
  the	
  equivalent	
  loan?	
  
– Adjusted	
  discount	
  rate=	
  rD(1	
  -­‐	
  Tc)	
  
– 0.10	
  ×	
  (1	
  –	
  0.35)	
  =	
  0.065	
  =	
  6.5%	
  
– The	
  value	
  of	
  the	
  equivalent	
  loan	
  is	
  the	
  present	
  
value	
  of	
  the	
  cash	
  flows	
  for	
  years	
  1,	
  2	
  and	
  3:	
  
$59,307.30	
  
	
  
b.	
  What	
  is	
  the	
  value	
  of	
  the	
  lease?	
  
- The	
  value	
  of	
  the	
  lease	
  is:	
  	
  
$62,000	
  –	
  $59,307.30	
  =	
  $2,692.70	
  
c.	
  Suppose	
  the	
  machine’s	
  NPV	
  under	
  normal	
  financing	
  is	
  
($5,000).	
  Should	
  Thor	
  Inc.	
  invest?	
  
- National	
  Waferonics	
  should	
  not	
  invest.	
  	
  The	
  
lease’s	
  value	
  of	
  +$2,692.70	
  does	
  not	
  offset	
  the	
  
machine’s	
  negative	
  NPV.	
  	
  On	
  the	
  other	
  hand,	
  the	
  
company	
  would	
  be	
  happy	
  to	
  sign	
  the	
  same	
  lease	
  
on	
  a	
  more	
  attractive	
  asset.	
  
	
  
EQUATIONS:	
  	
  
Break  Even  Lease  Rate =
𝐵𝑟𝑒𝑎𝑘  𝑒𝑣𝑒𝑛  𝑙𝑒𝑎𝑠𝑒  𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  (𝐶)
(1 + 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)
	
  
Present  Value = C
1
𝑟
−
1
𝑟(1 + 𝑟)
1 + 𝑟 	
  
𝑃𝑟𝑒𝑠𝑒𝑛𝑡  𝑉𝑎𝑙𝑢𝑒 = 𝐶! +
𝐶!
(1 + 𝑟)!
+
𝐶!
(1 + 𝑟)!
+ ⋯ +  
𝐶!
(1 + 𝑟)!
	
  
𝐴𝑑𝑗𝑢𝑠𝑡𝑒𝑑  𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡  𝑅𝑎𝑡𝑒 = 𝑟!"#$%&'((1 − 𝑇!"#$"#%&'"()	
  
𝑇𝑎𝑥  𝑆ℎ𝑖𝑒𝑙𝑑  𝑜𝑓  𝐿𝑒𝑎𝑠𝑒  𝑃𝑎𝑦𝑚𝑒𝑛𝑡
= 𝐴𝑛𝑛𝑢𝑎𝑙  𝐿𝑒𝑎𝑠𝑒  𝑃𝑎𝑦𝑚𝑒𝑛𝑡  ×  𝑇𝑎𝑥  𝑟𝑎𝑡𝑒	
  
𝐷𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑇𝑎𝑥  𝑆ℎ𝑖𝑒𝑙𝑑
=    𝑑𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑎𝑚𝑜𝑢𝑛𝑡 𝑐𝑜𝑟𝑝𝑜𝑟𝑎𝑡𝑒  𝑡𝑎𝑥  𝑟𝑎𝑡𝑒 	
  
𝐷𝑒𝑝𝑟𝑐𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝐴𝑚𝑜𝑢𝑛𝑡 = 𝑖𝑛𝑖𝑡𝑖𝑎𝑙  𝑐𝑜𝑠𝑡  ×  𝑑𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑟𝑎𝑡𝑒	
  
𝐴𝑓𝑡𝑒𝑟  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡 = 𝑃𝑟𝑒  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡   1 − 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒 	
  
𝐵𝑒𝑓𝑜𝑟𝑒  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡 =
𝑎𝑓𝑡𝑒𝑟      𝑡𝑎𝑥  𝑝𝑎𝑦𝑚𝑒𝑛𝑡
(1 − 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)
	
  
𝑇𝑜𝑡𝑎𝑙  𝐶𝑎𝑠ℎ  𝐹𝑙𝑜𝑤 = 𝑖𝑛𝑖𝑡𝑖𝑎𝑙  𝑐𝑜𝑠𝑡 + 𝑑𝑒𝑝  𝑡𝑎𝑥  𝑠ℎ𝑖𝑒𝑙𝑑
+ 𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  𝑎𝑑𝑚𝑖𝑛  𝑐𝑜𝑠𝑡	
  
	
  

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BASFIN2: Quiz 2 Reviewer

  • 1. A.  What  is  a  LEASE?     • Rental  agreement   • With  series  of  payments   • That  extends  for  a  year  or  more     B.  Parties  Involved:   a) Lessor  (Owner  of  Asset)   b) Lessee  (Borrower  of  Asset)     C.  Types  of  Lease:     1. Operational  Leases:     • Short  term  and  Cancelable     • at  the  option  of  the  lessee   2. Financial  Leases:     • Long-­‐Term  and  Non-­‐Cancelable   • Long-­‐Term:  extends  at  the  economical  life  of  the   asset   • Non-­‐cancelable  UNLESS  Lessor  is  reimburse  for  any   loss     D.  Leases  Differ  in  Service:   1. Full  Service/Rental/Lease:     • LESSOR  promises  to  maintain  and  insure  the   equipment  and  to  pay  property  tax  due  on  it   2. Net  Lease:   • LESSEE  promises  to  maintain  and  insure  the   equipment  and  to  pay  property  tax  due  on  it   3. Direct  Lease:   • LESSEE  identifies  the  equipment,  arranges  for  the   leasing  company  to  buy  it  from  the  manufacturer,  and   signs  a  contract  with  the  leasing  company.   4. Sale  and  lease-­‐back  Arrangements:     • The  firm  sells  an  asset  it  already  owns  and  leases  it   back  from  the  buyer   5. Leveraged  Lease:   • The  lessor  puts  up  some  of  the  money  required  to   purchase  the  asset  and  borrows  the  rest  from  a   lender.     • The  lender  is  given  a  senior  secured  interest  on  the   asset  and  an  assignment  of  the  lease  and  lease   payments.  The  lessee  makes  payments  to  the  lessor,   who  makes  payments  to  the  lender.   E.  Sensible  Reasons  for  Leasing:   • Short-­‐term  leases  are  convenient     •  Lower  Monthly  payment     •  Protection  against  obsolescence     •  Cancellation  options  are  valuable   o Some  leases  that  appear  expensive  really  are   fairly  priced  once  the  option  to  cancel  is   recognized.   •  Maintenance  is  provided   o Under  a  full-­‐service  lease,  the  user  receives   maintenance  and  other  services.   •  Standardization  leads  to  low  costs   o Standardization  makes  it  possible  to  “lend”  small   sums  of  money  without  incurring  large   investigative,  administrative,  or  legal  costs.     •  Leasing  and  financial  distress   o LESSOR  may  fare  better  during  Bankruptcy   i.  if  asset  is  deemed  “essential”  by  the  court   then  the  court  will  AFFRIM  the  lease.  The   lessee  must  still  continue  to  pay  the  lessor   and  continue  to  use  the  asset  (1 st  scenario)   ii. If  court  REJECTS  lease,  then  the  lessor  may   recover  asset  (2 nd  scenario)   iii. If  the  LESSEE  renegotiates  with  the  lessor,   lessor  might  be  forced  to  accept  lower   lease  payments  (3 rd  scenario)   • Tax  Shield  can  be  used:   o Lessor  owns  asset,  and  so  deducts  its   depreciation   o If  lessor  can  make  better  use  of  tax  shield  than   lessee,  then  lessor  should  own  equipment  and   pass  on  some  tax  benefits  to  lessee   o So  direct  tax  gain  to  lessor,  indirect  gain  to  lessee   F.  Dubious  Reasons  for  Leasing   • Leasing  avoids  capital  expenditure  controls   o Leasing  may  enable  an  operating  manager  to  avoid   the  approval  procedures  needed  to  buy  an  asset   •  Leasing  preserves  capital   If   Greymare   Bus   Lines   leases   a   $100,000   bus   rather  than  buying  it,  it  does  conserve  $100,000   cash.  It  could  also  (1)  buy  the  bus  for  cash  and   (2)  borrow  $100,000,  using  the  bus  as  security.   Its   bank   balance   ends   up   the   same   whether   it   leases   or   buys   and   borrows.   It   has   the   bus   in   either  case,  and  it  incurs  a  $100,000  liability  in   either  case.     •  Leases  may  be  off  balance  sheet  financing   o In  some  countries  financial  leases  are  off-­‐  balance-­‐ sheet  financing;  that  is,  a  firm  can  acquire  an  asset,   finance  it  through  a  financial  lease,  and  show  neither   the  asset  nor  the  lease  contract  on  its  balance  sheet.   •  Leasing  effects  book  income   o Leasing  can  make  the  firm’s  balance  sheet  and   income  statement  look  better  by  increasing  book   income  or  decreasing  book  asset  value,  or  both.   o A  lease  that  qualifies  as  off-­‐balance-­‐sheet  financing   affects  book  income  in  only  one  way:  The  lease   payments  are  an  expense.   G.  Financial  accounting  Standard  Board(FASB)  and  Leases   The  FASB  defines  capital  leases  as  leases  that  meet  any  one  of   the  following  requirements:   •  The  lease  agreement  transfers  ownership  to  the  lessee   before  the  lease  expires.   •  The  lessee  can  purchase  the  asset  for  a  bargain  price   when  the  lease  expires.   •  The  lease  lasts  for  at  least  75%  of  the  asset’s  estimated   economic  life.   •  The  present  value  of  the  lease  payments  is  at  least  90%  of   the  asset’s  value.    
  • 2. H.  International  Financial  Reporting  Standards  (IFRS)  and  Lease   A  lease  is  classified  as  a  finance  lease  if  it  transfers  substantially  all   the  risks  and  rewards  incident  to  ownership.  All  other  leases  are   classified  as  operating  leases.  Classification  is  made  at  the   inception  of  the  lease.     I.  Situations  that  would  normally  lead  to  a  lease  being  classified  as  a   finance  lease  include  the  following:   i.  the  lease  transfers  ownership  of  the  asset  to  the  lessee  by   the  end  of  the  lease  term     ii.  the  lessee  has  the  option  to  purchase  the  asset  at  a  price   which  is  expected  to  be  sufficiently  lower  than  fair  value  at   the  date  the  option  becomes  exercisable  that,  at  the   inception  of  the  lease,  it  is  reasonably  certain  that  the   option  will  be  exercised     iii.  the  lease  term  is  for  the  major  part  of  the  economic  life  of   the  asset,  even  if  title  is  not  transferred     iv.  at  the  inception  of  the  lease,  the  present  value  of  the   minimum  lease  payments  amounts  to  at  least  substantially   all  of  the  fair  value  of  the  leased  asset     v.  the  lease  assets  are  of  a  specialized  nature  such  that  only   the  lessee  can  use  them  without  major  modifications  being   made     J.  Other  situations  that  might  also  lead  to  classification  as  a  finance   lease  are:   i.  if  the  lessee  is  entitled  to  cancel  the  lease,  the  lessor's   losses  associated  with  the  cancellation  are  borne  by  the   lessee     ii.  gains  or  losses  from  fluctuations  in  the  fair  value  of  the   residual  fall  to  the  lessee  (for  example,  by  means  of  a   rebate  of  lease  payments)     iii.  the  lessee  has  the  ability  to  continue  to  lease  for  a   secondary  period  at  a  rent  that  is  substantially  lower  than   market  rent     K.  Evaluation  of  Leases   ◆ Lease  rentals   – Allowable  deduction  for  lessee   – taxable  income  for  lessor   ◆ Depreciation   – Allowable  deduction  for  lessor   – Not  allowed  for  lessee   ◆ Tax  payable  on  gain  from  sale  of    underlying  asset   – Payable  by  lessor   – Avoided  by  lessee     L.  Evaluation  of  LESSEE   • Add  cost  of  asset   • Subtract  lease  payments   •  Add  tax  shield  from  lease  payments   •  Subtract  depreciation  tax  shield   •  Subtract  residual  value  of  asset   •  Add/  subtract  tax  gain/loss  on  sale  of  asset   M.  Evaluation  of  LESSOR   • Subtract  Cost  of  asset   •  Add  lease  payments   •  Subtract  tax  shield  from  lease  payments   •  Add  depreciation  tax  shield   •  Add  residual  value  of  asset   •  Subtract/  Add  tax  loss/gain  on  sale  of  asset       EVALUATION     LESSEE   LESSOR   COST  OF  ASSET   +   -­‐   LEASE  PAYMENT   -­‐   +   TAX  SHIELD  FROM   LEASE  PAYMENT   +   -­‐   DEPRICIATION  TAX   SHIELD   -­‐   +   RESIDUAL  VALUE  OF   ASSET   -­‐   +   LOSS  ON  SALES  OF   ASSET   +   -­‐   GAIN  ON  SALE  OF   ASSET   -­‐   +                      
  • 3. v  Acme  has  branched  out  to  rentals  of  office  furniture  to   start  up  companies.  Consider  a  $3000  desk.  Desks  last  for   six  years  and  can  be  depreciated  on  a  five-­‐  year  MACRS   schedule.  What  is  the  break-­‐even  operating  lease  rate    for   a  new  desk?  Assume  that  lease  rates  for  old  and  new   desks  are  the  same  and  that  Acme’s  pre-­‐tax  administrative   costs  are  $400  per  desk  per  year.  The  cost  of  capital  is  9%   and  the  tax  rate  is  35%.  Lease  payments  are  made  inn   advance,  that  is,  at  the  start  of  each  year.  The  inflation   rate  is  zero.  The  table  below  provides  the  depreciation   schedule:     Given:   • Initial  Cost:  $3000   • Pre  Tax  Admin  Cost=  $400   • Cost  of  Capital/  Discount  Rate:  9%   • Tax  Rate:  35%     CASH  FLOWS   -­‐3260   -­‐50   +76   -­‐58.40   -­‐139.04   -­‐139.04   +60.48     Break  Even  Lease  Rate = 𝐵𝑟𝑒𝑎𝑘  𝑒𝑣𝑒𝑛  𝑙𝑒𝑎𝑠𝑒  𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  (𝐶) (1 + 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)   Present  Value = C ! ! − ! !(!!!) 1 + 𝑟     𝑃𝑟𝑒𝑠𝑒𝑛𝑡  𝑉𝑎𝑙𝑢𝑒 = 𝐶! + 𝐶! (1 + 𝑟)! + 𝐶! (1 + 𝑟)! + ⋯ +   𝐶! (1 + 𝑟)!   Solution:   𝑃𝑉 = −3260 − 50 1 + 0.09 ! + 76 1 + 0.09 ! − 58.40 1 + 0.09 ! − 139.04 (1 + 0.09)! − 139.04 (1 + 0.09)! +   60.48 (1 + 0.09)!    PV=  3,439.80   3,439.80 = C 1 0.09 − 1 0.09 1 + 0.09 1 + 0.09   3,439.80 4.889651263 = C   C  =  703.49   Break  Even  Lease  Rate = 703.49 (1 + 0.35)   Break  Even  Lease  Rate  =  1,082.29         v If  a  firm  can  borrow  at  9%  ,  what  discount  rate  should  the   firm  use  to  discount  lease  cash  flows?  (The  marginal  tax   rate  for  the  firm  is  35%)       Tax  Shield=  0.09(1-­‐0.35)   Tax  Shield  =5.85%     v Nodhead  College  needs  a  new  computer.  It  can  either  buy   it  for  $250,000  or  lease  it  from  Compulease.  The  lease   terms  requires  Nodhead  to  make  six  annual  payments   (prepaid)  of  $62,000.  Nodhead  pays  no  tax.  Compulease   pays  tax  at  35%.  Compulease  can  depreciate  the  computer   for  tax  purposes  over  five  years.  The  computer  will  have   no  residual  value  at  the  end  of  year  5.  The  interest  rate  is   8%.   a.  What  is  the  NPV  of  the  lease  for  Nodhead  College?   Given:     𝑃𝑉 = 62,000 (1 + 0.08)! ! !!!   NPV  cash  flow  of  Nodhead  is:     250,000  –  value  of  PV  =  -­‐59,500   b.  What  is  the  NPV  for  Compulease?   - Adjusted  discount  rate=  rD(1  -­‐  Tc)   - The  after  tax  interest  rate  is:     (1 − 0.35)×  0.08 = 0.052 = 5.2%   - The  NPV  cash  flow  of  Compulease  is  40.0  or   $40,000   c.  What  is  the  overall  gain(loss)  from  leasing?   40,000 − 59,500 = −19,500   v Suppose  that  National  Waferonics  has  before  it  a  proposal   for  a  four-­‐year  financial  lease.  The  table  below  summarizes   the  lease  cash  flows  of  the  proposal:     These  flows  reflect  the  cost  of  machine,  depreciation  tax   shields,  and  the  after-­‐tax  lease  payments.  Ignore  salvage   value.  Assume  the  firm  could  borrow  at  10%  and  faces  a   35%  marginal  tax  rate.   a.  What  is  the  value  of  the  equivalent  loan?   – Adjusted  discount  rate=  rD(1  -­‐  Tc)   – 0.10  ×  (1  –  0.35)  =  0.065  =  6.5%   – The  value  of  the  equivalent  loan  is  the  present   value  of  the  cash  flows  for  years  1,  2  and  3:   $59,307.30    
  • 4. b.  What  is  the  value  of  the  lease?   - The  value  of  the  lease  is:     $62,000  –  $59,307.30  =  $2,692.70   c.  Suppose  the  machine’s  NPV  under  normal  financing  is   ($5,000).  Should  Thor  Inc.  invest?   - National  Waferonics  should  not  invest.    The   lease’s  value  of  +$2,692.70  does  not  offset  the   machine’s  negative  NPV.    On  the  other  hand,  the   company  would  be  happy  to  sign  the  same  lease   on  a  more  attractive  asset.     EQUATIONS:     Break  Even  Lease  Rate = 𝐵𝑟𝑒𝑎𝑘  𝑒𝑣𝑒𝑛  𝑙𝑒𝑎𝑠𝑒  𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  (𝐶) (1 + 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)   Present  Value = C 1 𝑟 − 1 𝑟(1 + 𝑟) 1 + 𝑟   𝑃𝑟𝑒𝑠𝑒𝑛𝑡  𝑉𝑎𝑙𝑢𝑒 = 𝐶! + 𝐶! (1 + 𝑟)! + 𝐶! (1 + 𝑟)! + ⋯ +   𝐶! (1 + 𝑟)!   𝐴𝑑𝑗𝑢𝑠𝑡𝑒𝑑  𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡  𝑅𝑎𝑡𝑒 = 𝑟!"#$%&'((1 − 𝑇!"#$"#%&'"()   𝑇𝑎𝑥  𝑆ℎ𝑖𝑒𝑙𝑑  𝑜𝑓  𝐿𝑒𝑎𝑠𝑒  𝑃𝑎𝑦𝑚𝑒𝑛𝑡 = 𝐴𝑛𝑛𝑢𝑎𝑙  𝐿𝑒𝑎𝑠𝑒  𝑃𝑎𝑦𝑚𝑒𝑛𝑡  ×  𝑇𝑎𝑥  𝑟𝑎𝑡𝑒   𝐷𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑇𝑎𝑥  𝑆ℎ𝑖𝑒𝑙𝑑 =   𝑑𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑎𝑚𝑜𝑢𝑛𝑡 𝑐𝑜𝑟𝑝𝑜𝑟𝑎𝑡𝑒  𝑡𝑎𝑥  𝑟𝑎𝑡𝑒   𝐷𝑒𝑝𝑟𝑐𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝐴𝑚𝑜𝑢𝑛𝑡 = 𝑖𝑛𝑖𝑡𝑖𝑎𝑙  𝑐𝑜𝑠𝑡  ×  𝑑𝑒𝑝𝑟𝑖𝑐𝑖𝑎𝑡𝑖𝑜𝑛  𝑟𝑎𝑡𝑒   𝐴𝑓𝑡𝑒𝑟  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡 = 𝑃𝑟𝑒  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡   1 − 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒   𝐵𝑒𝑓𝑜𝑟𝑒  𝑇𝑎𝑥  𝑃𝑎𝑦𝑚𝑒𝑛𝑡 = 𝑎𝑓𝑡𝑒𝑟      𝑡𝑎𝑥  𝑝𝑎𝑦𝑚𝑒𝑛𝑡 (1 − 𝑡𝑎𝑥  𝑟𝑎𝑡𝑒)   𝑇𝑜𝑡𝑎𝑙  𝐶𝑎𝑠ℎ  𝐹𝑙𝑜𝑤 = 𝑖𝑛𝑖𝑡𝑖𝑎𝑙  𝑐𝑜𝑠𝑡 + 𝑑𝑒𝑝  𝑡𝑎𝑥  𝑠ℎ𝑖𝑒𝑙𝑑 + 𝑎𝑓𝑡𝑒𝑟  𝑡𝑎𝑥  𝑎𝑑𝑚𝑖𝑛  𝑐𝑜𝑠𝑡