MANAGEMENT CONSULTANCY - Solutions Manual
CHAPTER 17 SHORT-TERM CREDIT FOR FINANCING CURRENT ASSETS
I.
Questions 1. It is advisable advisable to borrow in in order order to take a cash discount discount when when the cost cost of borrowing borrowing is less than the cost of foregoing foregoing the discount. If it cost us 36 percent to miss a discount, discount, we would be much better off finding finding an alternate source of funds for 8 to 10 percent. 2. The The prim primee rate rate is the rate that that a bank bank charg charges es its most most cred credit itwo wort rthy hy customers. customers. The average customer customer can expect expect to pay one or two percent percent (or more) above prime. 3. The stated stated inte interes restt rate rate is the percen percentag tagee rate unadju unadjust sted ed for time time or method method of repaymen repayment. t. The effecti effective ve intere interest st rate is the true rate and considers all these variables. A 5 percent stated rate for 90 days days provides a 20 percent effective effective rate. The financial financial manager should should recognize recognize the effective effective rate as the true cost of borrowing. borrowing. The effective effective rate is also referred to as the APR (Annual Percentage Rate). 4. Commercial Commercial paper can be either either purchased purchased or issued issued by a corporation. corporation. To the extent one corporation purchases another corporation’s commercial paper as a short-term investment, investment, it is a current asset. Conversely, Conversely, if a corporation issues its own commercial paper, it is a current liability. 5. Pledgi Pledging ng account accountss receivabl receivablee means means receivabl receivables es are used as collate collateral ral for a loan; factoring account receivables means they are sold outright to a finance company. 6. Three types types of lender lender control control used in inven inventory tory financing financing are a.
Blanket Blanket invent inventory ory lienlien-gen general eral claim claim against against invent inventory ory or collate collateral. ral. No specific specific items items are marked or or designated. designated. b. Trust receipt-borrow receipt-borrower er holds holds the inventory inventory in trust for the lender. lender. Each item is marked and has a serial number. number. When the inventory is sold, the trust receipt is canceled and the funds go into the lender’s account. 17-1
Chapter 17
c.
Short-term Credit for Financing Current Assets
Warehousing the inventory is physically identified, segregated, and stored under the direction of an independent warehouse company that controls the movement of the goods. If done on the premises of the warehousing firm, it is termed public warehousing. An alternate arrangement is field warehousing whereby the same procedures are conducted on the borrower’s property.
II. Multiple Choice 1. 2. 3. 4. 5.
A B D B D
16. 17. 18. 19. 20.
6. 7. 8. 9. 10.
C A D B D
21. 22. 23. 24. 25.
11. 12. 13. 14. 15.
A A B C B
26. 27. 28. 29. 30.
B A C D D D C D C D D A B B D
31. 32. 33. 34. 35.
D A A A C
36. 37. 38. 39. 40.
D C D B C
41. 42. 43. 44. 45.
D D C C D
46. D 47. A
Supporting computations:
4. P1,080,000 / 360 = P3,000 in purchases per day. Typically, there will be P3,000 (40) = P120,000 of accounts payable on the books at any given time. Of this, P3,000 (10) is “free” credit, while P3,000 (30) = P90,000 is “non-free” credit.
5. Approx. cost =
=
Discount % 100 - Discount % 2% x 100% - 2%
17-2
x
360 Days credit is outstanding
360= 40 - 10
2x 98
− Discount period
360 30
Chapter 17
Short-term Credit for Financing Current Assets
=24.5% 6. =
=
=
= 0.1111 = 11.11%
Effective rate on the Interest discount loan Face value − Interest Credit terms are 2/10, net 40, but delaying payments 30 additional days is the equivalent of 2/10, net 70. Assuming no penalty, the approximate cost (P2,400,000) (0.10) is as follows: P2,400,000 − (P2,400,000) (0.10) Discount %P240,000 360 x 100 - Discount % Days credit is P2,160,000
Approx. cost =
outstanding
2% x 100% - 2%
=
360 = 70 - 10
2 x 98
− Discount period
360 60
=12.24% Therefore, the loan cost is 1.13 percentage points less than trade credit. 7. = =
= 11.1%
8. Approximate effective rate =
P1,000 / P5,000 = 20.0%
9. =
10.
Effective rate
= P10,000 (0.10) P10,000 − P10,000 (0.10) =
P13,333, 17-3
13.3% P1,000 P9,000
Chapter 17
Short-term Credit for Financing Current Assets
since 0.15 (P13,333) = P2,000 is required for the compensating balance, and 0.10 (P13,333) = P1,333 is required for the immediate interest payment. 10% Effective rate 1 − 0.15 − 0.10 21. The effective rate is equal to net interest expense divided by proceeds received not proceeds borrowed.
24.
P10,000 = 1 − 0.15 − 0.10 P10 million + P125,000 P200 million − P125,000 − P10 million =
= 12.67% 1 180 / 360
8.67%
26. = Interest Proceeds
=
= .0959
120,000 − (0.06 x 100,000) 1,000,000 − 100,000
(P1,000,000 − 980,000 + 1,200) x 4 1,000,000 − 20,000 − 1,200 III. Problems PROBLEM 1 (CAMATCHILE SALES COMPANY)
Interestinterest cost of the commercial .07 The discounted paper issue.07 is calculated as Proceeds [1.00 (.93) .20] .73 − follows: Interest expense
=
.10 x P200 million x 180 / 360 = P10 million
The effective cost of credit can now be calculated as follows: RATE =
=
x
46% 17-4
Short-term Credit for Financing Current Assets
Chapter 17
PROBLEM 2 (JAN MFG. CO.)
a.
Interest for two months = =
= =
RATE =
=
.14 x − x P500,000 P11,667
P500,000 − (.2 x P500,000 + P11,667) P383,333
x
.030043 x 6 = .18026, or 18.026%
Note that Jan would actually have to borrow more than the needed P500,000 in order to cover the compensating balance requirement. However, as we demonstrated earlier, the effective cost of credit will not be affected by adjusting the loan amount for interest expense changes accordingly. b. The estimation of the cost of forgoing trade discounts is generally quite straightforward; Loan proceedshowever, in this case the firm actually stretches its trade credit for purchases (for P500,000 loan) made during July beyond the due date by an additional 30 days. If it is able to do this without penalty, then the firm effectively forgoes a 3 percent discount for not paying within 15 days and does not pay for an additional 45 days (60 days less the discount period of P11,667 12 15 days). Thus, for the July trade credit, Jan’s cost is calculated as P388,333 2 follows: RATE =
(.03 / .97) x (360 / 45) = 24.74%
However, for the August trade credit the firm actually pays at the end of the credit period (the 30th day), so that the cost of trade credit becomes RATE =
(.03 / .97) x (360 / 15) =
74.22%
c. =
.12 x
=
P10,000 17-5
x P500,000
Chapter 17
Short-term Credit for Financing Current Assets
Pledging fee
RATE
= .005 x P 750,000 .16 x P200,000 = P3,750 P200,000 − .20 x P200,000
=
1 1
x
= .0275 x 6 = .165, or 16.5% .14 x P200,000 P200,000 − .14 x P200,000 − .2 x P200,000 PROBLEM 3 (JELO MFG. COMPANY)
1 1
a. RATE
b.
=
x
Interest for=two.18, or 18% months RATE
2 12
=
x
= .20, or 20% c. RATE
P10,000 + P3,750 P500,000
=
12 2
x
= .21212, or 21.212% Alternative (a) offers the lower-cost service of financing, although it carries the highest stated rate of interest. The reason for this, of course, its that there is no compensating balance requirement nor is interest discounted for this alternative. .18 x P200,000 1 P200,000 1 PROBLEM 4 (KIWI CORPORATION)
=
x 17-6
Short-term Credit for Financing Current Assets
=
Chapter 17
P5,500 360 P300,000 60 = 2.04% x 8 = 16.32%
x
Effective rate of interest with a 20% compensating balance requirement: 2% 360 (70 − 10) = Interest rate / (1 − C) 98% = 14% / (1 − .2) = 14% / (.8) = 17.5% The effective cost of the loan, 17.5%, is more than the cost of passing up the discount, 16.32%. Kiwi Corporation should continue to pay in 55 days and pass up the discount. P300,000 P300,000 P300,000 PROBLEM 5 (READY FLASHLIGHTS, INC.) (1 − C) (1 − .20) .80 a.
Effective rate of interest
=
x
=
1.83% x 6 = 10.98% P6,850 360 P375,000 − P75,000 60 b. Cost of lost discount= x P6,850 = Discount 2.04% P300,000 Cost of not taking a % x 6 = 12.24%360 cash discount 100% − Disc.% Final due datec. Yes, because the cost of borrowing is less than the cost ofperiod losing the Discount discount. d.
2% 98% =
e.
360 = (55 − 10)
=
P375,000 amount needed to be borrowed
Effective interest rate
=
x
= =
x 6
=
2.28% x 6
13.68%
No, do not borrow with a compensating balance of 20 percent since the effective rate is greater than the savings from taking the cash discount. 17-7
Chapter 17
Short-term Credit for Financing Current Assets
PROBLEM 6 (SUMMIT RECORD COMPANY)
a.
Trust Bank
2 x 12 x P9,000 (P100,000 − P10,000) x (12 + 1)
Effective interest rate = =
P72,000 / P355,000 = 20.28%
Northeast Bank Effective interest rate =
=
P216,000 / P1,170,000 = 18.46%
Choose Northeast Bank since it has the lowest effective interest rate. b. The numerators stay the same as in part (a) but the denominator increases to reflect the use of more money because compensating balances are already maintained at both banks. Trust Bank Effective interest rate
= =
P72,000 / (P100,000 − P9,000) x 5 P72,000 / P455,000 = 15.82%
= =
P216,000 / (P100,000 x 13) P216,000 / P1,300,000 = 16.62%
Northeast Bank Effective interest rate
c.
Yes. If compensating balances are maintained at both banks in the normal x 4 Bank x P9,000 course of business, then2Trust should be chosen over Northeast Bank. The(P100,000 effective cost of its loan−will P9,000) be less. x (4 + 1) − P20,000
PROBLEM 7 (ATBP., INC.) 17-8
Short-term Credit for Financing Current Assets
a. 11.73% b. 12.09% c. 18%
Chapter 17
Costs incurred by using commercial paper Net funds available from commercial paper
PROBLEM 8 (FAMILIA, INC.)
a.
Cost of commercial paper
=
Cost of commercial paper in the first quarter Cost of issuing commercial paper: Interest (P4,000,000 x .0775 x ¼) Placement fee (P4,000,000 x .00125) First quarter cost Funds available for use: Funds raised Less: Compensating balance Less: Interest and placement Net funds available in first quarter
P P =
P4,000,000 P400,000 82,500
Cost of commercial paper in the first quarter
482,500 P3,517,500 P 82,500 P3,517,500
= Cost of issuing commercial paper per quarter: Interest (P4,000,000 x .0775 x ¼) Funds available for use: Funds raised Less: Compensating balance Net funds available per quarter Cost of commercial paper per quarter 17-9
77,500 5,000 82,500
= P400,000 77,500
2.345%
P
77,500
P4,000,000 477,500 P3,522,500 P 77,500 P3,522,500
Chapter 17
Short-term Credit for Financing Current Assets
=
2.20%
Total annual effective cost of commercial paper Effective cost
= = = = =
1st quarter cost + 3(cost of 2nd, 3rd, 4th qtrs.) .02345 + 3(.02200) .02345 + .06600 .08945 8.95%
Familia Inc. should choose commercial paper because the cost of bank financing (10.4 percent) exceeds the cost of commercial paper (8.95 percent) by greater than 1 percent. b. The characteristics Familia Inc. should possess in order to deal regularly in the commercial paper market include: 1. Have a prestigious reputation, be financially strong, and have a high credit rating. 2. Have flexibility to arrange for large amounts of funds through regular banking channels. 3. Have a large and frequently recurring short-term or seasonal needs for funds. 4. Have the ability to deal in large denominations of funds for periods of one to nine months and be willing to accept the fact that commercial paper cannot be paid prior to maturity.
PROBLEM 9 (CANADA COMPANY)
a.
The expected monthly cost of bank financing is the sum of the interest cost, processing cost, bad debt expense, and credit department cost. The calculations are as follows: Interest .15 / 12 x P180,000 Processing .02 x P180,000 / .75 Credit department Bad debt expense .0175 x .7 x P900,000 Expected monthly cost of bank financing
17-10
= P 2,250 = 4,800 = 2,500 = 11,025 P20,575
Short-term Credit for Financing Current Assets
Chapter 17
b. The expected monthly cost of factoring is the sum of the interest cost and the factor cost. The calculations are as follows: Interest .015 x P180,000 Factor .025 x .7 x P900,000 Expected monthly cost of factoring c.
= P 2,700 = 15,750 P18,450
The following are possible advantages of factoring: 1. Using a factor eliminates the need to carry a credit department. 2. Factoring is a flexible source of financing because as sales increase, the amount of readily available financing increases. 3. Factors specialize in evaluating and diversifying credit risks.
d. The following are possible disadvantages of factoring: 1. The administrative costs may be excessive when invoices are numerous and relatively small in peso amount. 2. Factoring removes one of the most liquid of the firm’s assets and weakens the position of creditors. It may mar their credit rating and increase the cost of other borrowing arrangements. 3. Customers could react unfavorably to a firm’s factoring their accounts receivable. e.
Based upon the calculations in Parts a and b, the factoring arrangement should be continued. The disadvantages of factoring are relatively unimportant in this case, especially since Canada Company has been using the factor in the past. Before arriving at a final decision, the other services offered by the factor and bank would have to be evaluated, as well as the margin of error inherent in the estimation of the source data used in the calculations for Parts a and b. The additional borrowing capacity needed by Canada Company is irrelevant because the firm only needs P180,000 and the bank will loan P472,500 (P900,000 x .70 x . 75) and the factor will lend P567,000 (P900,000 x .70 x .90).
PROBLEM 10 (BILLY MADISON CORPORATION)
a.
The annual percentage cost of each company’s credit terms is calculated as follows: 17-11
Chapter 17
Cost
Short-term Credit for Financing Current Assets
=
x
The cost of each supplier must be weighted by the proportion of the total Discount 360 days provided by the supplier. 1.00 – Discount Credit period – Discount period
Supplier Fort Co. Jester Co. Jam Co. Smitt & Co. Total
Annual Percentage Cost (1) .367 .242 .172
Weight (2) .30 .25 .35 .10 1.00
Weighted Average Cost (1) x (2) .110 .061 .017 .188
Average effective annual interest rate is 18.8 percent. b. No, the average effective annual interest rate does not indicate whether they should borrow funds to take advantage of the terms on a specific account. The borrowing decision should be based on the effective annual interest rate of each supplier’s credit terms. Money should be borrowed to pay within the discount period only when the cost of borrowing is less than the effective annual interest rate of the credit terms. For instance, Fort Co. has an effective annual interest rate of 36.7% and should be paid on day 10 only if the cost of borrowing is less than 36.7%. c.
1. A line of credit is a loan agreement in which the borrower has, with certain specified limitations, control over the amount borrowed (up to some maximum) and when the funds are repaid. 2. Yes, a line of credit would be appropriate for Billy Madison if the company needs to borrow short-term money to take advantage of the cash discounts.
17-12
