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Unformatted text preview: ShortTerm
Financing
“If you would know the value of money
try to borrow some.”
—Benjamin Franklin Cash ’Til Payday®
Loan Mart is one of the companies offering socalled payday loans. These
loans are popular with some working people who need cash for a few
weeks until payday.
In a typical transaction the borrower makes out a check to the lender
dated two weeks hence. The lender then cashes the check on the specified
date, which is typically after the borrower’s payday. The lender provides
cash to the borrower in exchange for this postdated check.
Loan Mart charges the borrower a “fee” in the amount of $20 per $100
borrowed. This is for a loan that is repaid in two weeks.
If the $20 fee were considered to be interest, this would be an effective
annual interest rate of 11,348% on a $100 loan. The interest rate on your
Visa or Mastercard doesn’t look too bad in comparison, does it? Read this
chapter to see how the effective annual interest rate was calculated. Source: Terms posted at Loan Mart, Fort Collins, Colorado. 568 © Philippe Devanne (http://www.fotolia.com/p/15583) Chapter Overview Learning Objectives The credit card is perhaps the bestknown source of shortterm financing. However, After reading this chapter,
you should be able to:
businesses use many other types of shortterm financing to sustain their business
operations. In this chapter we discuss the advantages and disadvantages of short 1. Explain the need for shortterm financing, sources of that financing, and methods for calculating the cost of
term financing.
each source. We also show how loan terms can affect a loan’s effective interest
rate, and how accounts receivable and inventory can be used as shortterm loan 2. List the advantages and
disadvantages of shortterm
collateral.
financing. The Need for ShortTerm Financing
Businesses rely on shortterm financing from external sources for two reasons. The
first is growth—profits may simply not be high enough to keep up with the rate
at which the company is buying new assets. Imagine a convenience store chain
that wished to open one new store a month. If each new store cost $100,000, the
company would have to be very profitable to be able to do this without obtaining
external financing.
The second reason that businesses rely on external shortterm financing is
choice. Rather than waiting to save enough money from net profits to make their
desired purchases, many firms would rather borrow the money at the outset and
make their purchases on time. People make the same choices in their personal lives.
For example, you could save a little money each month until you saved enough 569 3. Describe three types of
shortterm financing. 4. Compute the cost of trade
credit and commercial
paper. 5. Calculate the cost of a
loan and explain how loan
terms affect the effective
interest rate. 6. Describe how accounts
receivable and inventory
can be used as collateral
for shortterm loans. 570 Part V ShortTerm Financing Decisions to buy a car with cash. This might take a long time, however, and in the meantime
you would be without transportation. Alternatively, you could borrow the money to
buy the car and have it to drive around while you’re paying off the loan. People—and
businesses—often choose the latter alternative.
Clearly, the ability to obtain external financing is crucial for most businesses. Without
it, most businesses could never even get started. ShortTerm Financing versus LongTerm Financing
Two factors influence the duration of external financing that businesses seek. The
first, of course, is availability. A firm may want to take out a 10year loan to finance
its inventory purchases, but it may find no one willing to make such a loan. In general,
businesses can usually find financing for short time periods. It is more difficult to find
longterm financing.
The second factor influencing the length of time that firms finance for is the risk–
return, or liquidity–profitability, tradeoff discussed in Chapter 17.
In the context of financing alternatives, here is how the tradeoff works:
• Shortterm financing is usually cheaper than longterm financing because shortterm
interest rates are normally lower than longterm interest rates.1 Therefore, the desire
for profitability (return) pushes firms toward shortterm financing. • Longterm financing is regarded as less risky than shortterm financing for the
borrower because the borrower locks in the agreedon interest rate for a long period
of time. No matter how interest rates change during the life of the loan, the borrower’s
interest costs are certain. Furthermore, the borrower does not have to incur the
transaction costs of obtaining new financing every few months. So, the desire to
avoid risk encourages firms to use longterm financing. The length of time that firms finance for depends on whether they want “to eat well or
to sleep well.”2 Returns generally increase as financing maturities grow shorter, but so
does risk. Risk decreases as financing maturities grow longer, but so do returns. The
blend of financing maturities that a firm selects reflects how aggressive or conservative
the firm’s managers are.
Figure 201 summarizes the factors that influence the sources of external financing.
External financing can come from shortterm or longterm sources. We discuss short‑term
financing sources next. ShortTerm Financing Alternatives
When most businesses need money for a short time—that is, for less than one year—they
usually turn to two sources: shortterm loans and trade credit (the process of delaying
payments to suppliers). Large, wellestablished businesses may make use of a third
financing source: commercial paper. In the sections that follow, we discuss the various
aspects of obtaining money from these three sources.
Remember from Chapter 2 that a normal yield curve is upward sloping. 1 The phrase is adapted from a remark by J. Kenfield Morley, who said, “In investing money, the amount of interest you want
should depend on whether you want to eat well or sleep well.” 2 571 Chapter 20 ShortTerm Financing
Determining
the Need Considerations Selecting
the Source Nature of Assets
(LongTerm or
ShortTerm) Need for
External
Financing Owner Preferences
(Savings vs.
Borrowing) ShortTerm Loans Cost Trade Credit Availability Commercial
Paper Size and Reputation
of Firm Growth
Opportunities LongTerm Sources
(Bonds, Common Stock,
Preferred Stock) ShortTerm Loans from Banks and Other Institutions
Financial institutions offer businesses many types of shortterm loans. No matter what
the type of loan, however, the cost to a borrower is usually measured by the percent
interest rate charged by the lender. The annual interest rate that reflects the dollars of
interest paid divided by the dollars borrowed is the effective interest rate.
Often, the effective interest rate differs from the interest rate advertised by the bank,
which is known as the stated interest rate.
Two common types of shortterm loans are the selfliquidating loan and the line
of credit. We examine these loan alternatives next. No matter what type of loan a firm
uses, the firm must sign a promissory note. A promissory note is the legal instrument
that the borrower signs and is the evidence of the lender’s claim on the borrower.
SelfLiquidating Loans Many of the shortterm loans obtained from banks are selfliquidating. A selfliquidating loan is one in which the proceeds of the loan are used
to acquire assets that will generate enough cash to repay the loan. An example is a loan
used to finance a seasonal increase in inventory, such as the purchase of swimwear to
sell during the summer months. The sale of the inventory generates enough cash to
repay the loan.
The Line of Credit As we now know, each time a firm borrows money from a bank,
it signs a promissory note. However, a firm may have more than one promissory
note outstanding at any one time. Indeed, a firm could have a substantial number of
promissory notes outstanding, all with overlapping terms of payment. To keep loans
under control, banks may specify the maximum total balance that firms may have in Figure 201
The External Financing
SourceSelection Process
The flowchart illustrates the
external financing sourceselection process. A firm
determines the need for external
financing, and then considers
several factors before selecting
the shortterm financing sources. 572 Part V ShortTerm Financing Decisions outstanding short‑term loans. A line of credit is the borrowing limit a bank sets for a
firm. A line of credit is an informal arrangement. The bank may change a firm’s credit
limit or withdraw it entirely at any time. This may happen when business conditions
change, but the bank doesn’t need a reason to reduce or eliminate a firm’s line of credit.
In contrast, a revolving credit agreement is a formal agreement between a bank and
a borrower to extend credit to a firm up to a certain amount for some period of time
(which may be for several years). The agreements are usually set forth in a written
contract, and firms generally pay a fee for the revolving credit. Trade Credit
When a company purchases materials, supplies, or services on credit instead of paying
cash, that frees up funds to be used elsewhere, just as if the funds had been borrowed
from a bank. Trade credit is the act of obtaining funds by delaying payment to suppliers.
The longer a company delays paying for purchases, the more trade credit the firm is
said to be using.
Even though trade credit is obtained by simply delaying payment to suppliers, it is
not always free. Next, we explain the cost of trade credit and how to compute that cost
so it can be compared to the cost of a bank loan or other credit source.
Computing the Cost of Trade Credit If a supplier charges a firm interest on credit
balances, then computing the cost of trade credit is easy—simply read the interest rate
charges on the supplier’s account statements, much as we would read a credit card’s
interest charges.
Most wholesale suppliers, however, do not charge interest on credit balances. Instead,
they simply give their customers so many days to pay and offer them a discount on
the amount of the purchase if they pay early. A typical example of such credit terms
is 2/10, n30—if customers pay their bills within 10 days of the invoice date, they will
receive a 2 percent discount; if not, the net amount of the bill is due within 30 days.3
Figure 202 diagrams a purchaser’s payment deadlines for a $100 purchase on credit
terms of 2/10, n30.
We see from Figure 202 that if a firm takes the discount, it can obtain the use of
$98 for up to 10 days without any cost. In this case the trade credit the firm receives is
free. But suppose a firm doesn’t take the discount? Look at Figure 202 again and think
of the situation this way: Instead of paying $98 on the tenth day, the firm can pay $98
anytime during the next 20 days as long as it pays a “fee” of $2 for delaying payment.
In essence, the firm is “borrowing” $98 for 20 days at a cost of $2. Assuming the firm
pays its bill on day 30, we can compute the effective annual interest rate of the trade
credit using the following equation:
Credit terms of this type were introduced in Chapter 19 from the point of view of the supplier granting the credit. Here, we
discuss the terms from the purchaser’s point of view. 3 Figure 202 Payment
Schedule with 2/10, n30
Credit Terms
Figure 202 shows the
purchaser’s payment schedule
for a $100 purchase from a
supplier who offfers 2/10, n30
credit terms. Day 1 Day 10 Take Discount, Pay $98 Day 30
Forgo Discount, Pay $100 ($98 + $2) Chapter 20 ShortTerm Financing Trade Credit Effective Interest Rate Formula 365 Days to Pay − Discount Period Discount % k = 1 + 100 − Discount % where: − 1 (201) k = ost of trade credit expressed as an effective annual
C
interest rate Discount % = Percentage discount being offered Days to Pay = ime between the day of the credit purchase and the day the
T
firm must pay its bill
Discount Period = Number of days in the discount period The 365 in the equation represents the number of days in a year. We also multiply
the result, k, by 100 to express it as a percentage.
In our example, the discount percentage is 2 percent, the total number of days to
pay is 30, and the number of days in the discount period is 10. We use Equation 201
to solve for k as follows:
2 k = 1 + 100 − 2 = (1 + .020408)( 365 30 − 10 18.25 ) = − 1 − 1 (1.020408)(18.25) − 1 = 1.4458 − 1
= .4458, or 44.58% As the calculation shows, the firm’s trade credit—the use of $98 for an additional 20
days—costs the firm an effective annual percentage rate of interest of nearly 45 percent!
Why would any reasonable financial manager pay such high rates? Most reasonable
financial managers wouldn’t, unless very unfavorable circumstances forced them to or
they didn’t realize they were doing it.
Instead, because bank loan rates are usually much lower than 45 percent, most
reasonable financial managers would borrow $98 from the bank and use it to pay the
supplier on the tenth day to take advantage of the discount. Twenty days later, the
financial manager would repay the loan plus the interest charges, which would be
considerably less than $2. Either way, a firm can obtain the use of $98 for 20 days, but
borrowing from a bank is usually the much cheaper alternative. Commercial Paper
Firms can sell commercial paper—unsecured notes issued by large, very creditworthy
firms for up to 270 days—to obtain cash. Selling commercial paper is usually a
cheaper alternative to getting a shortterm loan from a bank. Remember that only large,
creditworthy corporations sell commercial paper because only they can attract investors
who will lend them money for lower rates than banks charge for shortterm loans. In 573 574 Part V ShortTerm Financing Decisions 2008 and 2009 the financial crisis hit the commercial paper market along with most
of the rest of the financial system. Companies that had been considered very safe with
ready access to the commercial paper market for funding found themselves having
difficulty issuing new paper to refinance maturing issues. Investors had gotten very picky
as to what they would buy. Commercial paper had been considered to be quite a safe
investment but it is not as safe as U.S. Treasury securities. Investors were fleeing many
investments that had previously been considered safe for those U.S. Treasury securities
that have the backing of the full faith and credit of the United States.
Calculating the Cost of Commercial Paper Commercial paper is quoted on a
discount basis. So, to compare the percent cost of a commercial paper issue to the
percent cost of a bank loan, we first convert the commercial paper discount yield to an
effective annual interest rate. We use the following threestep process to find this rate.
1. ompute the discount from face value using Equation 202, the formula for the
C
dollar amount of the discount on a commercial paper note:
Dollar Amount of the Discount on a Commercial Paper Note
D = where: DY × Par × DTG
360 (202) D = Dollar amount of the discount DY = Discount yield Par = ace value of the commercial paper issue; the amount to be paid
F
at maturity DTG = Days to go until maturity 2. ompute the price of the commercial paper issue by subtracting the discount (D)
C
from par, as shown in Equation 203:
Price of a Commercial Paper Note Price = Par – D (203) 3. ompute the effective annual interest rate using the following formula, Equation
C
204:
Effective Annual Interest Rate of a Commercial Paper Note
Par k = Price where: 365 DTG − 1 (204) k = the effective annual interest rate Some firms sell commercial paper through dealers. Others, such as General Motors Acceptance Corporation (GMAC), sell it
directly to the public. 4 Chapter 20 ShortTerm Financing To illustrate the threestep process, imagine you are a financial analyst at GMAC,
Inc., and your commercial paper dealer4 has informed you that she is willing to pay
3.3 percent discount yield for a $1 million issue of GMAC 90day commercial paper
notes. What effective annual interest rate does the 3.3 percent discount yield equate to? tep 1: Compute the discount using Equation 202.
S
D = DY × Par × DTG
360 = .033 × $1, 000, 000 × 90
360 = $2, 970, 000
360 = $8, 250 We see that with a 3.3 percent discount rate, $1 million face value, and 90 days to go
until maturity, the dollar amount of the discount on the commercial paper note is $8,250. tep 2: Compute the price using Equation 203.
S Price = Par – D = $1,000,000 – $8,250 = $991,750 Our calculations show that the price of the 90day commercial paper note with a
face value of $1 million at a discount price of $8,250 is $991,750. tep 3: Compute the effective annual interest rate using Equation 204.
S
Par k = Price 365 DTG $1, 000, 000 = $991, 750 = 1.00832 4.056 − 1 365 90 − 1 − 1 = 1.0342 − 1
= .0342, or 3.42% Applying Equation 204, we find that the effective annual interest rate of a $1
million, 90day commercial paper note with a price of $991,750 is 3.42 percent. Now,
you can compare the 3.42 percent effective annual interest rate GMAC would pay for
commercial paper to the various loan rates available and choose the best deal.
In the next section, we examine the effect of loan terms on the effective interest rate. 575 576 Part V ShortTerm Financing Decisions How Loan Terms Affect the Effective Interest
Rate of a Loan
The effective interest rate of a bank loan may not be the same as the stated interest rate
advertised by the bank because of a lender’s loan terms. In the following sections, we
describe how to find the effective interest rate and what terms affect the effective interest rate. The Effective Interest Rate
Some loans have the same effective rate of interest as the stated rate of interest because
the bank places no terms on the loan other than the amount of interest and the amount
borrowed. In these cases, finding the effective interest rate per period is straightforward.
We divide the interest paid on the loan by the amount of money borrowed during the
period of the loan (and afterwards multiply the result by 100 to obtain a percent).
Equation 205 shows the effective interest rate formula:
Effective Interest Rate of a Loan
k = where: $ Interest You Pay
$ You Get to Use (205) k = the effective interest rate For example, suppose you borrow $10,000 from a bank for one year, and your
promissory note specifies that you are to pay $1,000 in interest at the end of the year.
We use Equation 205 to find the effective interest rate for the loan as follows:
k = $1, 000
$10, 000 = .10, or 10% The calculations show that for a $10,000 loan with $1,000 in interest, the effective
interest rate is 10 percent.
Effective interest rates are customarily expressed as annual rates. If a loan’s maturity
is for one year and there are no complicating factors, computing effective interest rates
is quite simple, as we have just seen. Equation 205 gives the effective rate per period.
For many loans, however, things are not so simple. Lenders have a variety of terms
and conditions that they apply to loans, and many of them affect the effective interest
rate. Two of the more common loan terms, discount loans and compensating balances,
are discussed next. Discount Loans
Sometimes a lender’s terms specify that interest is to be collected up front, at the time
the loan is made, rather than at maturity. When this is the case, the loan is referred to
as a discount loan. In a discount loan, the amount the borrower actually receives is the
principal amount borrowed minus the interest owed. So the amount the borrower may
use is lower than if the loan were a standard loan with interest paid annually at year’s
end. As a result, the borrower’s effective interest rate is higher than it would be for a
standard loan. Chapter 20 ShortTerm Financing Let’s return to our earlier oneyear, $10,000 loan example to see what happens
if it is a discount loan. Instead of paying $1,000 in interest at the end of the year (the
equivalent of an effective interest rate of 10 percent), the $1,000 in interest must be
paid at the beginning of the year. According to Equation 205, the effective interest
rate is as follows:
k = $ Interest You Pay
$ You Get to Use = $1, 000
$10, 000 − $1, 000 = $1, 000
$9, 000 = .1111, or 11.11% Note that by collecting the $1,000 interest on the loan at the start of the year, the
effective rate of interest rose from 10 percent to 11.11 percent, solely because of the
timing of the interest payment. The stated interest rate, then, is lower than the borrower’s
effective rate of interest. Compensating Balances
Sometimes a lender’s loan terms will specify that while a loan is outstanding the borrower
must keep some minimum balance in a checking account at the lender’s institution. The
amount required is called a compensating balance. The lender would say that this
minimum balance is its compensation for granting the borrower favorable loan terms (even
though the terms may not be especially favorable). Because the borrower cannot allow
the balance in the checking account to fall below the required minimum during the life
of the loan, the borrower may not use these funds during the life of the loan. As a result,
the borrower’s effective interest rate is higher than it would be without a compensating
balance requirement. This assumes that the borrower would not have kept the required
compensating balance funds in the checking account if the loan were a standard loan.
Let’s add a compensating balance requirement to our oneyear, $10,000 loan with
a yearend interest payment of $1,000. The stated rate of interest is 10 percent. Assume
the bank requires a compensating balance of 12 percent of the amount borrowed in a
checking account during the life of the loan. This compensating balance requirement
would be referred to as a “12 percent compensating balance requirement.” We quickly
figure out that 12 percent of $10,000 is $1,200. Then we use Equation 205 to find the
following effective interest rate:
k = $ Interest You Pay
$ You Get to Use = $1, 000
$10, 000 − $1, 200 = $1, 000
$8,800 = .1136, or 11.36% 577 578 Part V ShortTerm Financing Decisions We find that the effect of the bank’s 12 percent compensating balance requirement
is to raise the effective interest rate to the borrower by 1.36 percentage points. Instead
of paying 10 percent, the borrower actually pays 11.36 percent. The effect of the
compensating balance requirement is to increase the effective rate of interest, 11.36
percent, compared with the stated rate of interest of 10 percent.
Figure 203 shows how changing the terms of a oneyear loan can affect the effective
interest rate. The chart summarizes the effect of simple interest, discount interest, and
compensating balances. Figure 203 demonstrates that loan terms such as discount
interest and compensating balances reduce the amount the borrower gets to use, thus
raising the effective interest rate. Loan Maturities Shorter Than One Year
Another term that affects the effective interest rate is a loan maturity that is less than one
year. In such cases we modify Equation 205 to convert the effective interest rate of the
loan that is for less than a year into an annual rate. We find the annual rate so that we
can compare that rate with those from other lenders, almost all of which are expressed
as annual rates. Annualizing the rates allows a comparison of apples to apples, rather
than apples to oranges. An example demonstrates this point.
Suppose you are borrowing $10,000 for one month and paying $1,000 in interest
at the end of the month (with no other conditions). The effective interest rate of this
loan is 10 percent, according to Equation 205. However, remember that the rate is 10
percent per month. It would be inaccurate to say that the interest rate on this loan was
the same as a 10 percent loan from another financial institution. Why? Because the 10
percent stated rate from the other institution is an annual rate and you are comparing it
to a monthly rate. For one month, the other institution’s stated rate would be 10 percent
divided by 12 months equals .83 percent, which is considerably less than the 10 percent
monthly interest on your loan.
Annualizing Interest Rates We can modify Equation 205 so that it annualizes interest
rates that are not paid yearly. The modified formula, Equation 206, follows:
Effective Annual Interest Rate When the Loan Term Is Less Than One Year Figure 203 How
Changing the Terms of
a Loan Can Affect the
Effective Loan Maturities
Shorter Than One Year
Interest Rate Loan Periods in a Year $ Interest You Pay k = 1 + $ You Get to Use where: Simple Interest
Discount Interest
Compensating Balance
(12%) − 1 (206) k = the effective annual interest rate $ Interest You Pay
$ You Get to Use
$ Interest You Pay
$ You Get to Use
$ Interest You Pay
$ You Get to Use $1,000
$10,000
$1,000
$10,000 − $1,000 = $9,000
$1,000
$10,000 − $1,200 = $8,800 = .10, or 10%
= .1111, or 11.11%
= .1136, or 11.36% Chapter 20 ShortTerm Financing We multiply the results of Equation 206 by 100 to find the percentage rate.
Now let’s use Equation 206 to annualize the $10,000 loan with interest of $1,000
a month. Remember, the monthly interest rate for this loan is 10 percent, and there are
12 monthly loan periods in a year. The calculations follow:
$1, 000 k = 1 + $10, 000 = (1 + .10)
= (1.10) (12 ) (12 ) (12 ) − 1 − 1 − 1 = 3.1384 − 1
= 2.1384
× 100 = 213.84% We find that the interest rate is more than 213 percent. Surely there is a cheaper
alternative at another bank. Suppose you find one with a stated annual interest rate
of 12 percent for a $10,000 onemonth loan. What’s the effective annual interest rate
for this loan? In order to apply Equation 206 to find out, we first compute the dollar
amount of interest to be paid:
• The stated rate for one year, 5or 12 months, is 12 percent, so the rate for one month
is 12 percent/12 = 1 percent. • • 1 percent of $10,000 is $10,000 × .01 = $100.
So, the amount of “dollars you pay” to get this loan is $100. Because the loan is for one month, we know that there are 12 loan periods in a year.
Now we’re ready to plug these numbers into Equation 206 as shown next: Loan Periods in a Year $ Interest You Pay k = 1 + $ You Get to Use $100 = 1 + $10, 000 = (1 + .01)
= (1.01) (12 ) (12 ) (12 ) − 1 − 1 − 1 = 1.1268 − 1
= .1268
× 100 = 12.68%
If the loan’s term is one week, divide by 52. If it is one day, divide by 365, and so on. 5 − 1 579 580 Part V ShortTerm Financing Decisions The effective annual rate, 12.68 percent, is a little higher than the bank’s stated
rate of 12 percent because of the compounding effect of adding “interest on interest”
for 12 months.
In the chapter opener, we described the payday loan terms of Loan Mart. If $100
were borrowed for the normal twoweek period, a check for $120 dated two weeks hence
would have to be turned over to Loan Mart by the borrower. This reflects the repayment
of the $100 principal plus the $20 “fee” charged. Treating the fee as interest we get:
$20 k = 1 + $100 = 1.20 26 ( 26 ) − 1 − 1 = 114.47546 − 1
= 113.47546
× 100 = 11, 347.546% The exponent was 26, because there are 26 twoweek periods per year (52 weeks
per year divided by 2). The effective annual rate for this loan is 11,347.546 percent.
We have seen how discount loans, compensating balances, and loans that have
maturities less than a year affect the effective annual interest rate. Next, we walk through
an example of a loan with more than one complicating term. A Comprehensive Example
Let’s consider a loan that includes all the complicating factors discussed in the preceding
sections. Suppose you want to borrow $5,000 for one week, and the bank’s terms are 8
percent interest, collected on a discount basis, with a 10 percent compensating balance.
What is the effective annual interest rate of this loan?
Computing the Interest Cost in Dollars The bank’s stated rate of interest for one year,
or 52 weeks, is 8 percent, so the rate for one week is 8 percent/52 = 0.1538 percent.
.01538 percent of $5,000 is .001538 × $5,000 = $7.69 So, the amount of dollars in interest that you pay to obtain this loan is $7.69.
Computing the Net Amount Received Because this is a discount loan, the interest
will be collected up front. That means $7.69 will be deducted from the $5,000 loan.
The loan also has a 10 percent compensating balance requirement, so 10 percent of
the $5,000, or $500, must remain in a checking account at the bank, denying you the
use of it during the life of the loan.
The net amount of money that you will get to use during the life of the loan is
$5,000 – $7.69 – $500 = $4,492.31. Chapter 20 ShortTerm Financing Computing the Effective Annual Interest Rate We use Equation 206, the formula
for annualizing a loan with a term of interest payments less than a year, to find the
effective annual interest rate for this loan. The calculations follow: Loan Periods in a Year $ Interest You Pay k = 1 + $ You Get to Use $7.69 = 1 + $4, 492.31
= (1 + .001712)
= (1.001712) ( 52 ) ( 52 ) − 1 ( 52 ) − 1
− 1 − 1 = 1.093 − 1
= .093
× 100 = 9.3% We see that the effective annual interest rate for a oneweek, $5,000 discount loan with
an interest rate of 8 percent and a 10 percent compensating balance requirement is 9.3
percent. The effective rate of interest, 9.3 percent, is higher than the 8 percent stated
rate of interest. Computing the Amount to Borrow
In the preceding comprehensive example, you tried to borrow $5,000. Presumably that
was the amount you needed to use for a week. But, as shown, if the bank collected $7.69
in interest up front and made you keep $500 in a checking account during the term of
the loan, you would only receive $4,492.31. Clearly, given the bank’s terms, you will
have to borrow some amount greater than $5,000 to end up with the $5,000 you need. So
the question is, how much do you have to borrow to walk out of the bank with $5,000?
We solve this question algebraically. Let X = the amount to borrow. Now, because
the loan is a discount loan, the bank will collect one week’s worth of interest, or (.08/52)
times X at the beginning of the week. Furthermore, 10 percent of X must remain in a
checking account at the bank as a compensating balance. When these two amounts are
subtracted from X, the remainder must equal $5,000. Here is the equation describing
the situation:
.08
X − X − .10X = $5, 000 52 581 582 Part V ShortTerm Financing Decisions We then solve for X as follows:
.08
X − X − .10X = $5, 000 52 X − .001538X − .10X = $5, 000
.8985X = $5, 000
X = $5, 564.83 We find that if you borrow $5,564.83 for one week at 8 percent, discount interest,
with a 10 percent compensating balance requirement, you will leave the bank with
$5,000.6
We have examined how loan terms can affect the effective interest rate. Now we
turn to types of collateral that are used to secure shortterm loans. Collateral for ShortTerm Loans
Take Note
Loans for which collateral
is required are called
secured loans. If no
collateral is required, the
loan is unsecured. The promissory note that specifies the terms of the loan often includes the type of
collateral used to secure the loan.
For secured shortterm loans, lenders usually require that the assets pledged for
collateral be short term in nature also. Lenders require shortterm assets because they
are generally more liquid than longterm assets and are easier to convert to cash if the
borrower defaults on the loan. The major types of shortterm assets used for shortterm
loan collateral are accounts receivable and inventory. Accounts Receivable as Collateral
Accounts receivable are assets with value because they represent money owed to a firm.
Because of their value, a lender might be willing to accept the accounts as collateral
for a loan. If so, the borrowing firm may pledge its accounts receivable. The pledge is
a promise that the firm will turn over the accounts receivable collateral to the lender in
the case of default.
Loan agreements that use accounts receivable as collateral usually specify that the firm
is responsible for the amount of the accounts receivable even if the firm’s credit customers
fail to pay. In short, the borrowing firm still has to pay even if its customers don’t.
Lenders try to safeguard against accounts receivable that fluctuate so much that
the value of the account becomes less than the value of the loan. Accounts receivable
fluctuate because some credit customers may send in payments on their outstanding
accounts receivable, others may make new charges, and some may be late with payments.
If accounts receivable are pledged as shortterm loan collateral, lenders usually require a
loan payment plan that prevents the value of the accounts from dropping below the value
of the loans. For instance, a bank may require a borrower to send payments received on
pledged accounts to the lender to apply against the loan balance. Sending payments as
received decreases the balance of the loan as the value of accounts receivable decreases,
thereby protecting the lender.
In case you’re wondering, the effective annual interest rate for this loan, per Equation 202, is 9.3 percent. 6 Chapter 20 ShortTerm Financing Inventory as Collateral
Like accounts receivable, inventory represents assets that have value, so it can be used
as collateral for loans. The practice of using inventory as collateral for a shortterm loan
is called inventory financing.
A major problem with inventory financing is valuing the inventory. If a borrowing
firm defaults on a loan secured by inventory, the lender wants to know that the inventory
can compensate for the remaining loan balance. To illustrate how important valuing
inventory is, suppose you were a banker who lent a firm $200,000 for six months. As
collateral, the firm put up its entire inventory of Alien Angels dolls, based on characters
in a soontobereleased major motion picture. Unfortunately, the movie was a bust. The
firm was unable to repay its loan, and you as the banker have ended up with 10,000
dolls no one wants. It is small comfort to you now that the firm said the angels were
worth $20 each when they were offered as collateral.
To compensate for the difficulties in valuing inventory, lenders usually lend only a
fraction of the stated value of the inventory. If the inventory consists of fairly standard
items that can be resold easily, like 2 × 4s, then the lender might be willing to lend up
to 80 percent of the inventory’s stated value. In contrast, if the inventory consists of
perishable or specialized items, like the Alien Angels in our example, then the lender
will only lend a small fraction of their value, or might not be willing to accept them as
collateral at all.
Inventory depletion is an additional concern for lenders who allow borrowers to
use inventory as shortterm loan collateral. The borrowing firm can sell the pledged
inventory and use the cash received for other purposes, leaving the lender with nothing
if the borrower defaults. This can happen when the lender has only a general claim,
or blanket lien, on the borrower’s inventory in the event of a default. Therefore, when
inventory is used as collateral for a loan, the lender will often insist on some procedures
to safeguard its interests.
One procedure to safeguard the interests of the lender is for the borrower to issue
trust receipts to the lender. A trust receipt is a legal document in which specifically
identified assets, inventory in this case, are pledged as collateral for the loan. Automobiles,
railroad cars, and airplanes are often financed this way. The lender can make surprise
visits to the borrower’s business, checking to be sure that the pledged assets are on hand
as they should be. There is often a unique identification number (a car’s VIN, vehicle
identification number, for example) on these assets.
Another procedure to control pledged inventory is to use a public warehouse where
the inventory cannot be removed and sold without permission of the lender. When the
inventory is sold (with the lender’s permission), the proceeds are sent to the lender and
used to reduce the outstanding loan balance. Although this arrangement gives the lender
control, it is expensive for the borrowing firm. Usually the borrowing firm must pay for
the warehouse and seek the lender’s permission each time it wants to sell some inventory.
We have seen that shortterm secured loans generally have shortterm liquid assets
pledged as collateral, such as accounts receivable or inventory. Lenders often add loan
terms to protect against problems such as fluctuating accounts receivable and overvalued
or depleted inventory. 583 584 Part V ShortTerm Financing Decisions What’s Next
We discussed shortterm financing in this chapter, the final chapter of Part 5 of the
text. We turn next to Part 6, Finance in the Global Economy. In Chapter 21, we discuss
international finance. Summary
1. xplain the need for shortterm financing.
E
Firms rely on shortterm financing from outside sources for two reasons: • Growth: Profits simply may not be high enough to keep up with the rate at
which they are buying new assets.
C • hoice: Rather than save enough money to make desired purchases, many
firms borrow money at the outset to make their purchases. 2. ist the advantages and disadvantages of shortterm financing.
L
Shortterm financing is usually a cheaper option than longterm financing because of its
generally lower interest rates. However, shortterm financing is riskier than longterm
financing because, unlike longterm financing, the loans come due soon, the lender may
not be willing to renew financing on favorable terms, and shortterm interest rates may
rise unexpectedly.
3. escribe three types of shortterm financing.
D • Loans from banks and other institutions: When a bank or other institution
agrees to lend money to a firm, the firm signs a promissory note that specifies
the repayment terms. Two common types of shortterm business loans are
selfliquidating loans and a line of credit. A selfliquidating loan is a loan for
an asset that will generate enough return to repay the loan balance. A line of
credit is a maximum total balance that a bank sets for a firm’s outstanding
shortterm loans. T • rade credit: Trade credit is obtained by purchasing materials, supplies, or services on credit. By buying on credit, the firm has use of the funds during
the time of the purchase until the account is paid. C • ommercial paper: Commercial paper consists of unsecured notes issued by
large, creditworthy corporations for periods up to 270 days. 4. Compute the cost of trade credit and commercial paper.
The cost of trade credit is calculated by dividing the amount of the discount offered by
the supplier by the amount the buyer owes. The result is annualized for comparison
with other financing sources.
The cost of commercial paper is quoted as a discount yield. To compare the percent
cost of a commercial paper issue to the percent cost of a bank loan, the commercial
paper’s discount yield must be converted to an effective annual interest rate. Chapter 20 ShortTerm Financing 5. alculate the cost of a loan and explain how loan terms affect the effective
C
interest rate.
The cost of a loan is normally measured by dividing the amount paid to obtain the loan
by the amount the borrower gets to use during the life of the loan. The result is converted
to a percentage. The stated interest rate on a loan is not always the same as the loan’s
effective annual interest rate. If the lender collects interest up front (a discount interest
loan) or requires the borrowing firm to keep a fraction of the loan in an account at the
lending institution (a compensating balance), then the amount of money the borrower
gets to use is reduced. As a result, the effective rate of interest the borrower is paying
is increased.
6. escribe how accounts receivable and inventory can be used as collateral for
D
shortterm loans.
Shortterm loans are often secured by shortterm, liquid assets, such as accounts
receivable and inventory. When accounts receivable are used for collateral, the borrower
pledges to turn over its accounts receivable to the lender if the borrower defaults. When
inventory is used for collateral, the borrowing firm often sets aside the inventory that
has been identified for collateral in a separate warehouse. When the inventory is sold,
the cash received is forwarded to the lender in payment for the loan. Equations Introduced in This Chapter
Equation 201.
Trade Credit Effective Annual Interest Rate Formula:
Discount % k = 1 + 100 − Discount % − 1 where: k = ost of trade credit expressed as an effective annual interest rate
C
Discount % = Percentage discount being offered 365 Days to Pay − Discount Period Days to Pay = ime between the day of the credit purchase and the day the
T
firm must pay its bill
Discount Period = Number of days in the discount period Equation 202.
Dollar Amount of the Discount on a Commercial Paper Note:
D = where: DY × Par × DTG
360 D = Dollar amount of the discount DY = Discount yield Par = ace value of the commercial paper issue; the amount to be paid
F
at maturity DTG = Days to go until maturity 585 586 Part V ShortTerm Financing Decisions Equation 203.
Price of a Commercial Paper Note: Price = Par – D
where: Par = Face value of the note at maturity
D = Dollar amount of the discount Equation 204.
Effective Annual Interest Rate of a Commercial Paper Note:
Par k = Price where: 365 DTG − 1 k = The effective annual interest rate Par = Face value of the note at maturity Price = Price of the note when purchased DTG = Number of days until the note matures Equation 205.
Effective Interest Rate of a Loan:
k = where: $ Interest You Pay
$ You Get to Use k = The effective interest rate Equation 206.
Effective Annual Interest Rate: Loan Periods in a Year $ Interest You Pay k = 1 + $ You Get to Use where: k = The effective annual interest rate − 1 Chapter 20 ShortTerm Financing 587 SelfTest
ST1.
Your company’s suppliers offer terms of 3/15,
n40. What is the cost of forgoing the discount and
delaying payment until the fortieth day?
ST2. commercial paper dealer is willing to pay
A
4 percent discount yield for a $1 million issue of
Pennzoil 60day commercial paper notes. To what
effective annual interest rate does the 4 percent
discount yield equate? ST3. bank is willing to lend your company $20,000
A
for six months at 8 percent interest, with a 10
percent compensating balance. What is the
effective annual interest rate of this loan?
ST4.
Using the loan terms from ST3, how much would
your firm have to borrow in order to have $20,000
for use during the loan period? Review Questions
1. ompanies with rapidly growing levels of sales
C
do not need to worry about raising funds from
outside the firm. Do you agree or disagree with this
statement? Explain.
2. anks like to make shortterm, selfliquidating
B
loans to businesses. Why?
3. hat are compensating balances and why do
W
banks require them from some customers? Under
what circumstances would banks be most likely to
impose compensating balances? 4. hat happens when a bank charges discount
W
interest on a loan?
5. hat is trustworthy collateral from the lender’s
W
perspective? Explain whether accounts receivable
and inventory are trustworthy collateral.
6. rade credit is free credit. Do you agree or disagree
T
with this statement? Explain.
7. hat are the pros and cons of commercial paper
W
relative to bank loans for a company seeking
short‑term financing? Build Your Communication Skills
CS1.
Your firm’s request for a $50,000 loan for one
month has been approved. The bank’s terms
are 10 percent annual discount interest with
a 10 percent compensating balance. Prepare
a onepage report for the CEO of your firm
explaining how the effective interest rate of
this loan is calculated.
CS2.
Imagine you are a loan officer for a bank.
One of the town’s businesses has applied for a loan of $200,000 for six months. The
company has offered to put up the building
in which its manufacturing operations are
located as collateral for the loan. Local real
estate agents estimate the building is worth at
least $220,000. Write a letter to the company
explaining why your bank does not wish to
accept the building as collateral. Propose two
alternative assets that your bank would accept. 588 Part V ShortTerm Financing Decisions Problems Simple and Discount Loans Loans with Compensating
Balance 201.
Harold Hill is planning to borrow $20,000 for one year, paying interest in the
amount of $1,600 to a bank. Calculate the effective annual interest rate if the
interest is paid: a. the end of the year
At b. the beginning of the year (discount loan)
At
202.
Chad Gates is planning to borrow $40,000 for one year, paying interest of
$2,400 to a bank at the beginning of the year (discount loan). In addition,
according to the terms of the loan, the bank requires Chad to keep 10 percent
of the borrowed funds in a noninterestbearing checking account at the bank
during the life of the loan. Calculate the effective annual interest rate. C hallenge Problem 203.
Ralph Bellamy is considering borrowing $20,000 for a year from a bank that
has offered the following alternatives: a. interest payment of $1,800 at the end of the year
An b. interest payment of 8 percent of $20,000 at the beginning of the year
An c. interest payment of 7.5 percent of $20,000 at the end of the year in
An
addition to a compensating balance requirement of 10 percent (i)
Which alternative is best for Ralph from the effectiveinterestrate
point of view? (ii) Ralph needs the entire amount of $20,000 at the beginning of the
If
year and chooses the terms under (c), how much should he borrow?
How much interest would he have to pay at the end of the year? Loans with a Life of Less Than a Year 204. Joyce Heath borrows $14,000 for three months at an annual interest rate
If
of 16 percent paid upfront with a compensating balance of 10 percent,
compute the effective annual interest rate of the loan. Discount Loans with Compensating Balance for Less Than a Year 205.
You are planning to borrow $10,000 from a bank for two weeks. The bank’s
terms are 7 percent annual interest, collected on a discount basis, with a 10
percent compensating balance. Compute the effective annual interest rate of
the loan. Commercial Paper 206.
Bud Baxter is planning a $1 million issue of commercial paper to finance
increased sales from easing the credit policy. The commercial paper note has
a 60day maturity and 6 percent discount yield. Calculate: a.
The dollar amount of the discount b.
The price c.
The effective annual interest rate for the issue 589 Chapter 20 ShortTerm Financing 207.
Carmen Velasco, an analyst at Smidgen Corporation, is trying to calculate
the effective annual interest rate for a $2 million issue of a Smidgen 60day
commercial paper note. The commercial paper dealer is prepared to offer a
4 percent discount yield on the issue. Calculate the effective annual interest
rate for Carmen. Commercial Paper 208.
Bathseba Everdene, the sales manager of Gordon’s Bakery, Inc., wants to
extend trade credit with terms of 2/15, n45 to your company to boost sales.
Calculate the cost of forgoing the discount and paying on the fortyfifth day. Trade Credit 209.
Calculate the cost of forgoing the following trade credit discounts and
paying on the last day allowed: a.
3/10, n60 b.
2/15, n30
Recalculate the costs assuming payments were made on the fortieth day in each
of the preceding cases without any penalty. Compare your results. Trade Credit 2010.
Legacy Enterprises received an invoice from its supplier. The terms of credit
were stated as 3/15, n45. Calculate the effective annual interest rate on the
trade credit. Trade Credit 2011.
Callaway Krugs issues $2,000,000 in commercial paper for 90 days at a 3.8
percent discount yield. Calculate each of the following. a.
Dollar amount of the discount b.
Price of the commercial paper c.
Effective annual interest rate on the commercial paper Commercial Paper 2012. Daniels wants to buy a new car. The bank has offered him a $20,000
Mr.
discount interest loan at 6.5 percent. What is the effective interest rate? Effective Interest Rate 2013.
National Bank requires that all its borrowers have a compensating balance of
13 percent of the amount borrowed. If you need to take out a smallbusiness
expansion loan for $30,000 at 10 percent, what would be your effective
interest rate on this oneyear loan? Compensating Balance 2014.
You are the financial manager for Talc, Ltd., and the owner has just asked
you to compute the effective annual interest rate on the loans the company
currently has outstanding. The following is a list of these loans: a.
$50,000; .5% monthly rate, maturity: 1 month b.
$150,000, .6% monthly rate, maturity: 3 months c.
$75,000, .75% monthly rate, maturity: 1 month d. 120,000; .8% monthly rate, maturity: 6 months
$ Annualizing Interest Rates 590 Part V ShortTerm Financing Decisions Comparing Costs of Alternative ShortTerm Financing Sources 2015. sustain its growth in sales, Monarch Machine Tools Company needs
To
$100,000 in additional funds next year. The following alternatives for
financing the growth are available: a.
Forgoing a discount available on trade credit with terms of 1/10, n45 and,
hence, increasing its accounts payable b.
Obtaining a loan from a bank at 10 percent interest paid up front Calculate the cost of financing for each option and select the best source. Comparing Costs of Alternative ShortTerm Financing Sources 2016. the bank imposes an additional requirement of a 12 percent compensating
If
balance on Monarch in problem 2015 and the company could negotiate
moreliberal credit terms of 1/15, n60 from its supplier, would there be any
change in Monarch’s choice of shortterm financing? mount to Borrow A 2017.
Ms. Johnson has just finished her company’s pro forma financial statements
and has concluded that $1.5 million in additional funds are needed. To cover
this cash shortage, her company is going to take out a loan. HomeLand
Bank has offered them a 9 percent discount interest loan with a 12 percent
compensating balance. How much does Ms. Johnson’s company need to
borrow with these stated terms to leave the bank with $1.5 million in usable
funds? Answers to SelfTest
ST1. he cost is found using Equation 201. The discount percentage is 3 percent,
T
the discount period is 15 days, and payment is to be made on the fortieth day.
The calculations follow:
3 k = 1 + 100 − 3 = (1 + .0309278)
= 365 40 − 15 (14.6 ) − 1 (1.0309278)(14.6 ) − 1 = 1.56 − 1
= .56, or 56% − 1 Chapter 20 ShortTerm Financing ST2. se the threestep process described in the text to find the effective annual
U
interest rate as follows:
Step 1: ompute the discount using Equation 202.
C
D = DY × Par × DTG
360 = .04 × $1, 000, 000 × 60
360 = $2, 400, 000
360 = $6, 667 Step 2: ompute the price using Equation 203.
C Price = Par – D = $1,000,000 – $6,667 = $993,333 Step 3: ompute the effective annual interest rate using Equation 204.
C
Par k = Price 365 DTG − 1 $1, 000, 000 = $993, 333 6.083 = 1.00671 365 60 − 1 − 1 = 1.0415 − 1
= .0415, or 4.15% ST3. he amount your firm would pay in interest with the loan is
T .08 / 2 = .04 for six months .04 × $20,000 = $800
The amount your firm would be able to use during the life of the loan is the
principal less the compensating balance: $20,000 – (.10 × $20,000) = $18,000 591 592 Part V ShortTerm Financing Decisions The loan is for six months, so we use Equation 206 to solve for the effective annual
interest rate:
$800 k = 1 + $18, 000 = (1 + .0444)
= (1.044) (2) − 1 = 1.0908 − 1
= .0908
× 100 = 9.08% ST4. et X = the amount to borrow.
L X – .10X = $20,000 .9X = $20,000 X = $22,222 (2) (2) − 1 − 1 ...
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