Purchases Made with Future Cash Payments
Question:
A company buys a patent from an inventor on January 1, Year One, for $1
million to be paid immediately. The accounting here is straightforward;
the patent is recognized as an intangible asset and reported at the
historical cost of $1 million. Accounting rules are clear on the
handling of such acquisitions.
Assume,
instead, that the company offers to pay this $1 million but not until
five years have passed. The seller agrees to that proposal. The purchase
is made now, but payment is delayed. Is the $1 million still being paid
solely for the patent? Does the entire $1 million reflect the
historical cost of this intangible? What
reporting is appropriate if an asset such as a patent, building, or
land is bought but payment will not take place for several years? In such cases, how is historical cost determined?
Answer:
More than forty years ago, the accounting body that was viewed as
authoritative at the time ruled that when cash is paid for a purchase over an extended period of time, two distinct reasons for the payments always exist.
- The first is obviously the acquisition of the property such as the patent in this example.
- The second is interestThe
charge for using money over time, often associated with long-term
loans; even if not specifically mentioned in the debt agreement,
financial accounting rules require it to be computed and reported based
on a reasonable rate.. Interest is the charge for the use of money over time.
This rule assumes
that no reasonable seller would allow cash payments to be spread over
several years without some interest charge being factored into the
negotiated amounts. In other words, interest (the charge for the use of
the money over time) is included whether it can be seen or not. The
accounting demonstrated here is the result of that assertion.
In many
purchases where payments are made over time, interest payments are
explicitly included. For example, the contract to buy this patent could
have required payment of the $1 million after five years plus interest
at a 7 percent rate to be paid each year. With those terms, the
accounting process is not complicated. The $1 million is the historical
cost of the patent while the annual $70,000 payments ($1 million × 7
percent) are recorded each year by the buyer as interest expense. The
two amounts are clearly differentiated based on the terms of the
agreement.
A
theoretical problem arises if interest is not identified in the
contract. In the current illustration, assume that the company agrees to
make a single $1 million payment in five years with no mention of
interest. According to U.S. GAAP, interest is still present and must be
recognized because the conveyance of cash has been delayed. This means
that only part of the $1 million is actually paid for the patent with
the rest serving as interest. Authoritative accounting rules hold that
an interest charge is always present when payment is put off into the
future. Payment has been deferred for five years; some part of that
amount serves to compensate the seller for having to wait to receive the
money.
However,
the specific allocation of the $1 million between patent and interest is
not readily apparent. To calculate the interest included within the
price, an introduction to present valueThe
amount associated with cash flows after all future interest—computed at
a reasonable rate—has been mathematically removed; this figure is the
principal of those future cash flows. computations is necessary.
In simple
terms, the present value of future cash flows is the amount left after
all future interest is removed (hence the term “present value”). The
present value is the portion within the $1 million that is being paid
for the patent. The remainder will be recognized as interest expense
over the five-year period until payment is made.
To
determine the present value of future cash flows, a reasonable interest
rate is needed. Then, the amount of interest for these five years can be
mathematically calculated and removed. An appropriate interest rate is
often viewed as the one the buyer would be charged if the money were
borrowed from a local bank.
Assume
here that 10 percent is a reasonable annual interest rate. Fortunately,
present value conversion factors have already been mechanically
computed. They can serve to remove the future amount of interest so that
only the present value (the amount paid for the patent) is left. The
formula to determine the present value of $1 at a designated point in
the future is $1 divided by (1 + i) raised to the nth
power with “n” being the number of periods and “i” the appropriate
interest rate. In this case, because payment is due in five years, the
present value $1 is $1/(1.10)5, or 0.62092. This factor can then be multiplied by the actual cash payment to determine its present value.
In an
Excel spreadsheet, the present value of $1 at 10 percent for five years
is derived by entering the following formula into one of the cells:
=PV(.10,5,0,1). Thus, the present value of $1,000,000 is found in Excel
by entering =PV(.10,5,0,1000000).
Regardless
of the method being applied, if $1 is paid in five years for an asset
and a reasonable rate of interest is 10 percent per year, then the $0.62
(rounded) present value is the portion being paid for the asset with
the remaining $0.38 representing interest for those years. The present
value computation mathematically determines the interest and then
removes it to leave the cost of the asset.
Predetermined
present value tables are available as well as calculators and computer
spreadsheets that make this computation relatively easy. Present value
tables can be found at the end of this book as well as through Internet
links provided at appropriate spots throughout the chapters.
On a
table created to provide the present value of a single amount of $1, the
factor is found by looking under the specific interest rate column (10
percent) at the line for the number of applicable time periods (five).
The
present value today of paying $1 million in five years assuming a 10
percent annual interest rate is $1 million times 0.62092 or $620,920.
This is the cost before any future interest is accrued over time.
Mathematically, the interest for these five years has been computed and
removed to arrive at this figure. The remainder of the payment
($379,080) will be reported as interest expense by the buyer over the
subsequent five years using a 10 percent annual rate. The total
($620,920 for the patent plus $379,080 in interest) equals the $1
million payment.
The journal entries for Year One are shown in Figure 11.5 "Present Value—Acquisition of Patent with Future Payment of Cash and Recognition of Year One Interest".
On January 1, the patent and the liability are reported at present
value. No time has passed so no interest is recognized. However, at the
end of that first year, interest expense of $62,092 should be reported.
That amount is 10 percent of the liability’s principal balance for that
year ($620,920).
Notice in
the December 31 entry that no interest is paid on that date. Payment of
this additional charge actually occurs in five years when $1 million is
paid and not just $620,920. Because interest was recognized in Year One
but not paid, the amount of the liability (the principal) has grown.
Increasing a debt to reflect the accrual of interest is referred to as
“compounding.” Whenever interest is recognized but not paid, it is
compounded which means that it is added to the principal of the
liability.
In the
second year, the expense to be recognized is higher because the
principal has increased from $620,920 to $683,012 ($620,920 plus
$62,092) as a result of compounding the Year One interest. The ongoing
compounding raises the principal each year so that the interest expense
also increases as can be seen in the series of entries in Figure 11.6 "Present Value—Recognition and Compounding of Interest".
These journal entries show that three goals are achieved by this reporting process.
- The patent is recorded at its historical cost of $620,920, the total
amount to be paid less a reasonable interest rate for the five year
delay until payment is made.
- The compounding process adds the interest back into the
liability that was removed in determining the present value so that the
reported balance returns to $1 million as of the due date.
- Interest expense of $379,080 is recognized over the
five-year period ($62,092 + $68,301 + $75,131 + $82,644 + $90,912).
Although interest was not mentioned in the contract, U.S. GAAP requires
it to be computed and reported over these five years.
Test Yourself
Question:
Osgood Company buys an intangible asset on
January 1, Year One, for $300,000. The company will make this payment at
the end of Year Three. In the interim, interest payments of $27,000
will be made each year based on a reasonable rate. On January 1, Year
One, what amount is reported for the intangible and the liability?
- $300,000
- The present value of $300,000
- The present value of $327,000
- The present value of $381,000
Answer:
The correct answer is choice a: $300,000.
Explanation:
A reasonable interest rate is being paid, so
although payment to acquire the intangible has been delayed for three
years, there is no reason to compute the present value of the cash
flows. Present value is only used when a reasonable interest is not
explicitly stated and paid. The $300,000 amount is the principal amount
and the $27,000 annual payments are the interest.
Test Yourself
Question:
Weisz Company buys an intangible asset on
January 1, Year One, for $300,000 to be paid in exactly three years. No
additional amounts are mentioned in the contract although a reasonable
interest rate is 8 percent per year. The present value of $1 at an 8
percent rate to be paid at the end of a three-year period is $0.79383.
What does the company report on the date of acquisition?
- Asset of $238,149 and liability of $238,149
- Asset of $300,000 and liability of $238,149
- Asset of $238,149 and liability of $300,000
- Asset of $300,000 and liability of $300,000
Answer:
The correct answer is choice a: Asset of $238,149 and liability of $238,149.
Explanation:
Because a reasonable interest rate is not
being paid, the initial acquisition (both the cost of the asset and the
principal of the liability) is recorded at the present value of the
future cash flows ($238,149 or $300,000 × 0.79383). Present value
computes the interest for three years at an 8 percent rate and then
removes it to leave the amount paid, here, for the intangible asset.
Test Yourself
Question:
Tylo Company buys an intangible asset on
January 1, Year One, for a single $400,000 payment in exactly four years
with no additional cash being paid in the interim. A reasonable
interest rate is 10 percent per year. The present value of $1 at a 10
percent rate to be paid at the end of a four-year period is $0.68301.
How does the annual recognition of interest over those four years impact
the recorded amount of the intangible asset?
- It has no effect.
- It increases the reported asset by $6,830.10 per year.
- It increases the reported asset by $27,320.40 per year.
- It increases the reported asset by $40,000.00 per year.
Answer:
The correct answer is choice a: It has no effect.
Explanation:
Interest will be recognized each year based
on the reasonable rate of 10 percent. However, that impacts the
liability balance and has no impact on the asset. The asset is recorded
initially at present value and that cost is then amortized to expense
over the useful life of the asset (unless the asset does not have a
finite life). The interest is recorded each year as an expense and
compounded to increase the liability.
Test Yourself
Question:
Guthrie Company buys an intangible asset on
January 1, Year One, for a single $500,000 payment in exactly five years
with no additional cash being paid in the interim. A reasonable
interest rate is 10 percent per year. The present value of $1 at a 10
percent rate to be paid at the end of a five-year period is $0.62092.
What interest is recognized in each of the first two years?
- Zero in Year One and Zero in Year Two
- $31,046 in Year One and $31,046 in Year Two
- $31,046 in Year One and $34,150.60 in Year Two
- $50,000 in Year One and $50,000 in Year Two
Answer:
The correct answer is choice c: $31,046 in Year One and $34,150.60 in Year Two.
Explanation:
Because a reasonable interest rate is not
paid, the liability for this $500,000 payment is recorded initially at
its present value of $310,460 ($500,000 × 0.62092). Interest for the
first year is 10 percent of this principal or $31,046 ($310,460 × 10
percent). No interest is paid at that time so this entire amount is
compounded raising the principal to $341,506 ($310,460 plus $31,046).
Interest expense for the second year is $34,150.60 based on the
reasonable 10 percent annual rate.
Test Yourself
Question:
Laettner Company buys an intangible asset on
January 1, Year One, for $200,000 to be paid in exactly five years with
no additional cash being paid in the interim. A reasonable interest
rate is 10 percent per year. The present value of $1 at 10 percent rate
to be paid at the end of a five-year period is $0.62092. What does
Laettner Company report on its December 31, Year Two balance sheet for
this liability?
- $124,184.00
- $136,602.40
- $150,262.64
- $200,000.00
Answer:
The correct answer is choice c: $150,262.64.
Explanation:
Because reasonable interest is not paid, the
liability is recorded at present value ($200,000 × 0.62092 or
$124,184). After one year, interest of $12,418.40 ($124,184 × 10
percent) is recognized. It is not paid but compounded raising the
principal to $136,602.40 ($124,184.00 plus $12,418.40). After the second
year, interest is again computed. It is $13,660.24 ($136,602.40 × 10
percent). It is compounded raising the principal to $150,262.64
($136,602.40 plus $13,660.24).
The Present Value of Cash Flows Paid as an Annuity
Question:
Does the application of present value change substantially if cash is
paid each year rather than as a lump sum at the end of the term? What
reporting is appropriate if an intangible asset is purchased by making a
down payment today followed by a series of equal payments in the
future?
To
illustrate, assume a company acquires a copyright from an artist by
paying $10,000 on January 1, Year One, and agreeing to pay an additional
$10,000 at the beginning of each subsequent year until January 1, Year
Five. The total cash amount is $50,000. As with the previous example, no
separate interest is paid so that a present value computation is
required. What is the historical cost to be reported for this intangible
asset and what interest should be recorded on the liability over these
future years?
Answer:
Cash is conveyed over an extended period of time in this purchase.
However, a reasonable rate of interest is not being explicitly paid to
compensate for the delay in payments. Once again, accounting believes
that interest exists within the cash amounts. A present value
computation is necessary to pull out the appropriate amount of interest
and leave just the cost of the newly acquired asset. As before, the
present value of the payments is the cash paid after all future interest
is mathematically removed. The idea behind the process has not changed.
Here, though, cash is not conveyed as a single amount but rather as an annuityA series of equal payments made at equal time intervals.—an equal amount paid at equal time intervals. An annuity can be either of the following:
- An ordinary annuityAn annuity with payments made at the end of each period; it is also referred to as an annuity in arrears. with payments made at the end of each period
- An annuity dueAn annuity with payments made at the beginning of each period; it is also referred to as an annuity in advance. with payments starting immediately at the beginning of each period
The specific
series of payments in this question is an annuity due pattern because
the first $10,000 is conveyed immediately when the contract is signed.
As before, the applicable present value factor to remove the interest
can be determined by a calculator or computer spreadsheet. Tables are also available at the end of this book or through the following Internet link.
Regardless
of the approach applied, if a reasonable rate is assumed to be 12
percent per year, the present value of a $1 per year annuity due for
five periods is 4.0374. Thus, the present value of paying $10,000
annually for five years beginning immediately is $10,000 times 4.0374 or
$40,374. For annuities, the computation is constructed so that a single
payment ($10,000) is multiplied rather than the total cash amount
($50,000).
Of the
total cash to be paid, $40,374 (the present value) is the cost of the
copyright with the remaining $9,626 ($50,000 total less $40,374)
representing the interest expense over this period. The initial journal
entry to record this acquisition is shown in Figure 11.7 "Acquisition of Intangible Asset—Present Value of an Annuity Due". No interest is reported because no time has yet passed.
At the
end of the first year, amortization of the cost of the copyright must be
recognized along with interest expense on the liability. Assuming a
life of ten years and no residual value, annual amortization is $40,374
divided by ten years, or $4,037. Interest for the period is the $30,374
principal of the liability times the 12 percent reasonable rate, or
$3,645 (rounded). Because no interest is explicitly paid in this
contract, all of this interest is compounded (added to the liability).
The year-end adjusting entries are shown in Figure 11.8 "Intangible Asset—Recognition of Interest and Amortization for Year One".
The second scheduled payment is made on January 1, Year Two, and reduces the amount of the liability.
At the
end of Year Two, both amortization of the asset’s cost and interest
expense on the liability must be recognized again to reflect the passage
of another period. The amortization figure remains the same (assuming
application of the straight-line method) but interest must be
recomputed. The principal of the liability was $30,374 for the first
year, but interest of $3,645 was then compounded at the end of that
period followed by another $10,000 payment. As shown in Figure 11.10 "Computation of Liability Principal Throughout Year Two", these changes result in a liability principal throughout Year Two of $24,019.
Thus,
during the second year, the principal amount of the liability is $24,019
and the interest, at the reasonable rate of 12 percent, is $2,882
(rounded).
This
pattern of entries will continue until the liability has been
extinguished and the capitalized cost of the asset amortized to expense.
Key Takeaway
In making purchases,
companies often delay making cash payments for years. If interest is
calculated and paid in the interim, the purchase price and the interest
are easy to differentiate and record. The accounting is straightforward.
However, if no interest payments are specified, a present value
computation is made to separate the amount paid for the asset from the
interest. The resulting amount (the present value) is recognized
initially for both the asset and liability. Present value can be
determined using a table, a mathematical formula, or an Excel
spreadsheet. Thereafter, interest is recognized each period and
compounded (added to the principal of the liability) since it is not
paid at the time. Future cash payments can be a single amount or an
annuity (a stream of equal payments made at equal time intervals).
Payments constitute an ordinary annuity if made at the end of each
period or an annuity due if started immediately.
Talking with a Real Investing Pro (Continued)
Following is a continuation of our interview with Kevin G. Burns.
Question: Goodwill is one of the most misunderstood balances on any set of financial statements. For example, at June 30, 2011, Procter & Gamble
reported goodwill of nearly $58 billion. Many investors (even serious
investors) probably are unsure of what to make of that number. How do
you factor the reported balance for goodwill into your decision making?
Kevin Burns:
I am not a big fan of goodwill. As a reported asset, it is way too
subjective and frankly I am not sure that it provides credible
information. How do you value something from an accounting standpoint
that you cannot really measure or touch or feel? You cannot borrow
against it. The goodwill balance is irrelevant for the kind of investing
I do where I am more interested in asset values and what the real
market values are for those assets. My feeling about goodwill is a bit
like my feeling for financial footnotes. I prefer companies that can
explain how they have value and make money without relying too much on
either one.