|
July 16, 2003
218 Overcast Avenue, Suite 2000
Toronto
Ontario, M2K 2W2
Attention: Jack Rambrandt
Dear Mr. Rambrandt
You have asked us to report to
you on the following alternatives of acquiring a passenger vehicle:
- Lease the car
- Purchase the car and finance it
- Purchase the car and pay cash
In our calculations, we have
noted that the car will be purchased or leased by a GST registered business. We have also determined that the proprietor
of the business will use the car.
The relevant information for making the comparison appears on the
attached “Schedule A” and the result of the comparison
appears on “Schedule B”. As you
can see, the best alternative is to lease the car,
which is the lowest amount displayed at the bottom of the three columns.
You may ask, what methodology did
we use in making this comparison. One way to make this comparison is simply to
add up all the costs and subtract all the tax savings and come up with a
number. However, this answer will not be accurate because it ignores the time
value of money. A dollar you pay now is worth more than a dollar you pay in the
future. So, we have discounted all future costs and tax savings to its present
values. We have used the market interest rate – assumed to be the interest rate
offered on your best financing deal – to discount all costs and tax savings.
To make a meaningful comparison
between a car lease and a car purchase, we have assumed that at the end of the
lease, in all scenarios you will neither own the car nor have any debts on
account of the car. Therefore the
following assumption would have to be made.
- Term of the lease and the term of the loan are the
same.
- The leased car is returned at the end of the term of
the lease and the purchased car is sold after the expiry of the same time
period as the term of the lease.
- At the end of term, the loan is repaid from the
proceeds of the sale of the car at its residual value.
- The residual value (plus sales taxes) of the leased
car and the balance of loan are equal.
The following is a list of
factors used to make the comparison. Negative numbers denote benefits, while
positive numbers represent costs:
| 1. Present Value of Cash Outflow |
+ |
| 2. Present Value of Tax Savings on Interest Income |
- |
| 3. Present Value of Benefit or Cost of Utilizing Your Own Cash |
+/- |
| 4. Present Value of Cash Inflow (from income tax savings) |
- |
| 5. Present Value of Tax or Tax Savings on the disposal of the car (if any) |
+/- |
| 6. Present Value of GST input-credit |
- |
A detailed explanation of the
above factors, should you wish to acquaint yourself more with the methodology,
appears on “Schedule C”.
Should you have anymore questions
please call the undersigned.
Yours truly,
Joseph
Tavana
| Schedule “A“ |
|
| Input Information |
| Cash purchase price |
$50,995 |
| Freight & PDI |
$1,350 |
| Trade-In value of old car |
$2,500 |
| Cash up front |
$1,000 |
| Security deposit |
$500 |
| Manufacture suggested retail price |
$53,345 |
| Current earning on your free cash |
6% |
| Monthly lease payment |
$779 |
| Term of the lease |
36 |
| Buy back – Residual value |
$27,522 |
| Car loan rate of interest |
6% |
| Marginal tax rate of owner |
31% |
| GST, HST or QST |
7% |
| PST |
8% |
| Schedule “B“ |
|
| Comparison of Present Value’s of
Lease and Finance or Buy Cash |
|
Lease, Buy Or Finance a Car |
Lease
$
|
Loan
$
|
Buy
$
|
|
Present value of:
|
|
|
|
|
Lease, loan payments or cash price
|
60,251
|
60,197
|
60,197
|
|
Buyback
|
(26,630)
|
(23,156)
|
(23,156)
|
|
PST & GST saving on trade-in
|
(200)
|
(200)
|
(200)
|
|
GST input credit claimed
|
0
|
0
|
0
|
|
Investment income less loan interest
|
0
|
0
|
0
|
|
|
|
|
|
|
|
33,421
|
36,841
|
36,841
|
|
Present value of tax savings:
|
|
|
|
GST input credit business use less than
90%
|
(1,581)
|
(1,498)
|
(1,498)
|
Lease payments
|
(7,617)
|
|
|
|
Depreciation
|
|
(5,949)
|
(5,949)
|
|
|
|
0
|
0
|
|
Interest income on free cash
|
|
|
(2,387)
|
|
Interest payments
|
|
(2,387)
|
|
|
|
|
|
|
|
|
(9,197)
|
(9,834)
|
(7,447)
|
|
Add: Personal use
|
2,759
|
2,950
|
2,234
|
|
|
|
|
|
| Total of present value of net costs and |
26,983
|
29,957
|
31,628
|
|
benefits: |
|
|
|
Schedule “C”
1.
Present Value of
Cash Outflow.
The
cash outflow when buying the car in cash equals the total payment to the dealer
(including sales taxes) less the cash received (excluding sales tax) when the
car is sold; when leasing a car the cash outflow is total down payment and
lease payments. In the case of financing the car, payments are made to the
lender over a period of time including the repayment of loan balance when the
car is sold. To properly compare the
cost of the three methods one has to calculate the present value of the future
stream of payments. In order to make this calculation an appropriate rate of
interest should be used. If the
appropriate rate of interest is 10% then a payment of $110 one year from now
equals a payment of $100 today. In our
calculation we have assumed that the most appropriate interest rate for
calculating the present value is the market rate of interest. We have further assumed the market
interest rate to be the best interest rate available to the purchaser of
the car.
One point to
note is that interest rates are calculated as if interest was paid
semi-annually. It is natural that 12%
per annum interest paid once at the end of the year is of a lower value than 12
payments of 1% per month.
2.
Present Value of Benefit or Cost of Utilizing Your Own Cash.
When paying cash
for a car or making a down-payment one should consider the earning power of the
cash that is to be used to make these payments. The cost of the loss of this
earning should be compared to the savings in loan interest expense. One should also take into account the tax on
the interest income, unless the car is used in business and the interest paid
is deductible. Therefore, the after tax comparison is relevant. Once the income level and province of
residence of the owner is entered the program displays the relevant marginal
tax rate. This marginal tax rate is
used to calculate the net after tax interest earned on the cash. If the comparison shows that your net after
tax interest income is less than the interest rate you have to pay on your car
loan, then there is a benefit in paying as much down-payment, as you can or
buying the car outright. This
calculation is added to the cost or subtracted from it depending on whether it
is a cost or benefit. As this cost or
the benefit accrues over the term of the loan, in order to do an accurate
comparison, the program calculates the present value of the net cost or
benefit. To calculate the present value we have assumed that the costs or
benefits are realized at the end of the borrower or lessee’s fiscal years.
3. Present Value of Cash Inflow (From
income tax savings)
If the car is used in
business, the expenses, with certain limitations, can be deducted from business
income. This deduction will result in
a tax saving; subject to the business being profitable. The deductions (except
for operating expenses that would be the same under all scenarios) for each
fiscal year are calculated using the rules of the Income Tax Act. The tax savings accruing to the owner of the
car or the holder of the lease is the amount of the deduction multiplied by his
marginal tax rate. The program
calculates the marginal tax rate after you have input the province of your
residence and your annual income.
The tax savings are not immediate and
materialize at certain future dates. To
properly evaluate the tax benefits their present value is calculated. In calculating the present value we used the
interest rate payable on the car loan, which, we have assumed to be equal, the
market rate of interest.
We have assumed
that tax benefits materialize at the end of the fiscal years except for the
last fiscal year when the benefit is taken to realize at end of the last month,
when the lease ends. The program, for
simplicity, ignores that taxes have to be paid in quarterly or monthly
installments or that they are due several months after the fiscal year-ends.
4.
Present Value of Tax or Tax Savings on the disposal of the car.
When the car is sold, assumed to be when the term of the lease ends,
there could be a taxable gain (recapture) or a taxable loss (terminal loss). If
the cost of the car is less than the maximum allowable for depreciation (Class
10) then the recapture results in additional tax, which increases the cost of
ownership, while a terminal loss results in tax savings. When the cost of the
car exceeds the maximum allowable for depreciation (Class 10.1) neither a
recapture is assessed, nor is a terminal loss allowed.
5. Present Value of GST input-credit.
If a business is
registered for Goods & Services Tax, the GST paid on the purchase of a car
or on the lease of one is recovered subject to limitation and percentage use of
the car for business. See details in “Schedule D”.
GST input credit
is received or is deducted from GST payable at a future date. To have a meaningful comparison the present
value of the input credits enjoyed in the future is calculated and used in our
computations. We have assumed that
the future dates when the credit is enjoyed are at the end of the fiscal years;
except, in the last year of lease or ownership when the credit is enjoyed at
the end of the month in which the lease ends. We have ignored that often GST is
remitted on a quarterly basis and that the effect of the GST input credit does
not materialize until one month after the end of the GST quarter. Although,
this assumption may not be accurate in all cases it is accurate enough for the
purpose of computing the present value of the GST benefits realized in the
future.
| Schedule “D“ |
|
| Goods and Services Tax Refundable on Business Use of a
Car |
|
|
Car Used
|
Car Used
|
|
|
By Business
Owner
|
By Employee
|
|
|
Lease
|
Own
|
Lease
|
Own
|
|
|
|
|
|
|
|
Personal use > 90%
|
Denied
|
Denied
|
Denied
|
Denied
|
|
Personal use = 90%
|
Denied
|
Denied
|
Denied
|
Denied
|
|
Personal use < 90%
|
Denied
|
Allowed
7/107
|
Allowed
100%
|
Allowed
100%
|
|
|
|
|
|
|
|
Personal use > 50%
|
Denied
|
Allowed
7/107
|
Allowed
100%
|
Allowed 100%
|
|
Personal use = 50%
|
Allowed
Proportional
|
Allowed
7/107
|
Allowed
100%
|
Allowed
100%
|
|
Personal use < 50%
|
Allowed
Proportional
|
Allowed
7/107
|
Allowed
100%
|
Allowed
100%
|
|
|
|
|
|
|
|
Personal use > 10%
|
Allowed
Proportional
|
Allowed
7/107
|
Allowed
100%
|
Allowed
100%
|
|
Personal use = 10%
|
Allowed
100%
|
Allowed
100%
|
Allowed
100%
|
Allowed
100%
|
|
Personal use < 10%
|
Allowed
100%
|
Allowed
100%
|
Allowed
100%
|
Allowed
100%
|
|