Cap 8 6u2d52
This document was ed by and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this report form. Report 3i3n4
Overview 26281t
& View Cap 8 as PDF for free.
More details 6y5l6z
- Words: 3,695
- Pages: 26
S-1
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Problems 8-1.
Compute the cost of not taking the following cash discounts. a. b. c. d.
2/10, net 40. 2/15, net 30. 2/10, net 45. 3/10, net 90.
Solution: Cost of not = taking a cash discount
Discount % 100 % Disc. %
360 F i n ad lu de a t-e D i s c opnetr i o
a. Cost of = lost discount
2% 98%
360 40 10
= 2.04% x 12.00 = 24.48%
b. Cost of = lost discount
2% 98%
360 30 15
= 2.04 % x 24.00 = 48.96%
c. Cost of = lost discount
2% 98%
360 45 10
= 2.04% x 10.29 = 20.99%
d. Cost of = lost discount
3% 97%
360 90 10
= 3.09% x 4.50 = 13.91%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-2
8-2.
Delilah’s Haircuts can borrow from its bank at 13 percent to take a cash discount. The of the cash discount are 2/15, net 55. Should the firm borrow the funds?
Solution: Delilah’s Haircuts First, compute the cost of not taking the cash discount and compare this figure to the cost of the loan. Cost of not taking a cash discount
Discount % 100 % Disc. % 2% 98 % 2.04 %
final due date
360 discount period
360 55 15 9
18 .36 %
The cost of not taking the cash discount is greater than the cost of the loan (18.36% vs. 13%). The firm should borrow the money and take the cash discount. 8-3.
Your bank will lend you $4,000 for 45 days at a cost of $50 interest. What is your effective rate of interest?
Solution: Effective
rate
Interest Principal
Days in the year (360) Days loan is outstandin g
$50 360 $4,000 45 1.25 % 8 10 %
8-4.
Your bank will lend you $3,000 for 50 days at a cost of $45 interest. What is your effective rate of interest?
Solution:
S-3
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Effective
rate
Interest Principal
Days in the year (360) Days loan is outstandin g
$45 360 $3,000 50 1.5% 7.2 10 .80 %
8-5.
I.M. Boring borrows $5,000 for one year at 13 percent interest. What is the effective rate of interest if the loan is discounted?
Solution: I.M. Boring Effective rate on a discounted loan
Interest Princ. Int. $650 $5,000 $650 14 .94 %
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-4
Days per year (360) Days loan is outstandin 360 360
$650 $4,350
1
g
8-6.
Ida Kline borrows $8,000 for 90 days and pays $180 interest. What is the effective rate of interest if the loan is discounted?
Solution: Ida Kline Interest Princ. Int.
Effective rate on a discounted loan
Days per year (360) Days loan is outstandin
$180 $8,000 $180 2.30 %
8-7.
4
360 90
$180 $7,820
g
4
9.20 %
Mo and Chris’ Sporting Goods, Inc., borrows $14,500 for 20 days at 12 percent interest. What is the dollar cost of the loan? Use the formula: Dollar cost of loan
Amount borrowed
Interest rate
Days loan is outstandin g Days in the year 360
Solution: Mo and Chris’ Sporting Goods Dollar cost of loan = Amount Borrowed x Interest rate x $14 ,500 12 % $14 ,500 12 %
= $14,500
Days loan is outstandin g Days in the year (360) 20 360 1
18
.67% = $97.15
S-5
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-8.
Sampson Orange Juice Company normally takes 20 days to pay for its average daily credit purchases of $6,000. Its average daily sales are $7,000, and it collects s in 28 days. a. What is its net credit position? That is, compute its s receivable and s payable and subtract the latter from the former. s receivable = Average daily credit sales x Average collection period s payable = Average daily credit purchases x Average payment period b. If the firm extends its average payment period from 20 days to 35 days (and all else remains the same), what is the firm's new net credit position? Has it improved its cash flow?
Solution: Sampson Orange Juice Company a. Net credit position = s receivable – s payable Accts rec. = Average Daily Credit Purchases x Average Payment Period = $7,000 x 28 = $196,000 s payable = Average Daily Credit Purchases x Average Payment Period = $6,000 x 20 = $120,000 Net Credit Position = $196,000 – $120,000 = $76,000 b. s Receivable will remain at s Payable = $6,000 x 35 = Net Credit Position
$196,000 210,000 ($14,000)
The firm has improved its cash flow position. Instead of extending $76,000 more in credit (funds) than it is receiving, it has reversed the position and is the net recipient of $14,000 in credit.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-6
8-9.
Maxim Air Filters, Inc. plans to borrow $300,000 for one year. Northeast National Bank will lend the money at 10 percent interest and require a compensating balance of 20 percent. What is the effective rate of interest?
Solution: Maxim Air Filters, Inc. Effective rate of interest with 20% compensating balance = Interest rate 1 C
10% 1 .2
10% .8
12.5%
or Principal
Interest Compensati
$30 ,000 $300 ,000 $60 ,000
ng balance
1
$30 ,000 $240 ,000
Days of the Year (360) Days loan is outstandin g
1
12 .5%
S-7
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-10.
Digital Access, Inc. needs $400,000 in funds for a project. a. With a compensating balance requirement of 20%, how much will the firm need to borrow? b. Given your answer to part a and a stated interest rate of 9 percent on the total amount borrowed, what is the effective rate on the $400,000 actually being used?
Solution: Digital Access, Inc. a. Amount to be borrowed
Amount needed 1 C $400 ,000 1 .20
$400 ,000 .80
$500 ,000
b. $500,000 9% $ 45,000 $45,000 $400 ,000
total amount borrowed Interest rate Interest 11 .5%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-8
8-11.
Carey Company is borrowing $200,000 for one year at 12 percent from Second Intrastate Bank. The bank requires a 20 percent compensating balance. What is the effective rate of interest? What would the effective rate be if Carey were required to make 12 equal monthly payments to retire the loan? The principal, as used in Formula 8-6, refers to funds the firm can effectively utilize (Amount borrowed – Compensating balance).
Solution: Carey Company Effective rate of interest with 20% compensating balance = Interest Compensati
Principal
ng balance
$24 ,000 $200 ,000 $40 ,000
360 360
Days in the year 360 Days loan is outstandin g $24 ,000 $160 ,000
360 360
15 %
Installment loan with compensating balance 2 Annual no. payments Total no. of payments 1
12
Interest Principal
2 12 $24,000 1 $200 ,000 $40,000
$576 ,000 13 $160 ,000
$576 ,000 $2,080 ,000
27.69%
S-9
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-12.
Capone Child Care Centers, Inc., plans to borrow $250,000 for one year at 10 percent from the Chicago Bank and Trust Company. There is a 20 percent compensating balance requirement. Capone keeps minimum transaction balances of $18,000 in the normal course of business. This idle cash counts toward meeting the compensating balance requirement. What is the effective rate of interest?
Solution: Capone Child Care Centers, Inc. Effective rate of interest = Principal
Interest Compensati ng balance
$25,000 360 $250,000 $32,000 * 360
Days in the year 360 Days loan is outstandin g
$25,000 $218,000
11.47%
*Compensating Balance = 20% x 250,000 = $50,000 Normal Funds = 18,000 Restricted Compensating Balance $32,000
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-10
8-13.
The treasurer for Neiman Supermarkets is seeking a $30,000 loan for 180 days from Wrigley Bank and Trust. The stated interest rate is 10 percent, and there is a 15 percent compensating balance requirement. The treasurer always keeps a minimum of $2,500 in the firm’s checking s. These funds count toward meeting any compensating balance requirements. What is the effective rate of interest on this loan?
Solution: Neiman Supermarkets Effective rate of interest = Principal
Interest * Compensati ng balance
$1,500 $30 ,000 $2,000 * *
10% $30,000
180 360
360 180
Days in the year 360 Days loan is outstandin g
* 5.36 %
2
10 .72 %
$1,500
**Compensating Balance = 15% x 30,000 = $4,500 Normal Funds = 2,500 Restricted Compensating Balance $2,000
S-11
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-14.
Tucker Drilling Corp. plans to borrow $200,000. Northern National Bank will lend the money at one half percentage point over the prime rate of 8 ½ percent (9 percent total) and requires a compensating balance of 20 percent. Principal in this case refers to funds that the firm can effectively use in the business. What is the effective rate of interest? What would the effective rate be if Tucker Drilling were required to make four quarterly payments to retire the loan?
Solution: Tucker Drilling Corp. Effective rate of interest with 20% compensating balance = $18,000/($200,000 – $40,000) = $18,000/$160,000 = 11.25% Installment Loan with compensating balance 2 4 $18,000 5 $160 ,000
$144 ,000 / $800 ,000
Copyright © 2005 by The McGraw-Hill Companies, Inc.
18 .0%
S-12
8-15.
Your company plans to borrow $5 million for 12 months, and your banker gives you a stated rate of 14 percent interest. You would like to know the effective rate of interest for the following types of loans. (Each of the following parts stands alone.) a. b. c. d.
Simple 14 percent interest with a 10 percent compensating balance. Discounted interest. An installment loan (12 payments). Discounted interest with a 5 percent compensating balance.
Solution: a. Simple interest with a 10% compensating balance $700 ,000 $5,000 ,000 $500 ,000
1
$700 ,000 $4,500 ,000
15 .56 %
b. Discounted interest $700 ,000 1 $5,000 ,000 $700 ,000
$700 ,000 $4,300 ,000
16.28%
c. An installment loan with 12 payments 2 12 $700,000 13 $5,000,000
$16,800,000 $65,000 ,000
25.85%
d. Discounted interest with a 5% compensating balance $700,000/($5,000,000 – $700,000 – $250,000) = 17.28%
S-13
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-16.
If you borrow $12,000 at $900 interest for one year, what is your effective interest cost for the following payment plans? a. b. c. d.
Annual payment. Semiannual payments. Quarterly payments. Monthly payments.
Solution: a. $900/$12,000 = 7.5% Use formula 8-6 for b, c, and d. Rate on installment loan = 2 Annual no. of payments Interest Total no. of payments 1 Principal
b. (2 x 2 x $900)/(3 x $12,000) = $3,600/$36,000
= 10.00%
c. (2 x 4 x $900)/(5 x $12,000) = $7,200/$60,000
= 12.00%
d. (2 x 12 x $900)/(13 x $12,000) = $21,600/$156,000
= 13.85%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-14
8-17.
Vroom Motorcycle Company is borrowing $30,000 from First State Bank. The total interest charge is $9,000. The loan will be paid by making equal monthly payments for the next three years. What is the effective rate of interest on this installment loan?
Solution: Vroom Motorcycle Company Rate on installment loan = 2
Annual no. of payments Total no. of payments 1 2 12 36
1
$9,000 $30 ,000
Interest Principal
$216 ,000 $1,110 ,000
19 .46 %
S-15
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-18.
Mr. Paul Promptly is a very cautious businessman. His supplier offers trade credit of 3/10, net 70. Mr. Promptly never takes the discount offered, but he pays his suppliers in 60 days rather than the 70 days allowed so he is sure the payments are never late. What is Mr. Promptly’s cost of not taking the cash discount?
Solution: Paul Promptly Cost of not taking a cash discount
10 0 0
D isco un t % % D isc. %
3 60 P aym en t D isco un t
10 0 0
3% % 3%
3.09 %
7.2
d ate p erio d
3 60 60 10 2 2 2 .25 %
In this problem, Mr. Promptly has the use of funds for 50 extra days (60-10), instead of 60 extra days (70-10). Mr. Promptly’s suppliers are offering of 3/10, net 70. Mr. Promptly is effectively accepting of 3/10, net 60.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-16
8-19.
The Ogden Timber Company buys from its suppliers on of 2/10, net 35. Ogden has not been utilizing the discount offered and has been taking 50 days to pay its bills. The suppliers seem to accept this payment pattern, and Ogden’s credit rating has not been hurt. Mr. Wood, Ogden Timber Company’s vice president, has suggested that the company begin to take the discount offered. Mr. Wood proposes the company borrow from its bank at a stated rate of 15 percent. The bank requires a 25 percent compensating balance on these loans. Current balances would not be available to meet any of this compensating balance requirement. Do you agree with Mr. Wood’s proposal?
Solution: The Ogden Timber Company Cost of not taking a cash discount
D i s c %o u n t 3 6 0 1 0%0 D i %s c F. i nd audl ea t D i s c po eu rn 2% 360 98% 50 10
2.04% 9 18.36%
We use 50 days instead of 35 days as the final due date because Ogden’s suppliers have effectively made this the due date even though the stated due date is 35 days. Effective rate of interest with a 25% compensating balance requirement: = Interest rate/(1 – C) = 15%/(1 – .25) = 15%/(.75) = 20% The effective cost of the loan, 20%, is more than the cost of pas the discount, 18.36%. Ogden Timber Company should continue to pay in 50 days and up the discount. S-17
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-20.
In problem 19, if the compensating balance requirement were 10 percent instead of 25 percent, would you change your answer? Do the appropriate calculation.
Solution: The Ogden Time Company (Continued) Effective rate of interest with a 10% compensating balance requirement: Interest rate 1 C
15% 1 .1
15% .9
16.67%
The answer now changes. The effective cost of the loan, 16.67%, is less than the cost of pas the discount. Ogden Timber Company should borrow the funds and take the discount. 8-21.
Bosworth Petroleum needs $500,000 to take a cash discount of 2/10, net 70. A banker will loan the money for 60 days at an interest cost of $8,100. a. What is the effective rate on the bank loan? b. How much would it cost (in percentage ) if Bosworth did not take the cash discount, but paid the bill in 70 days instead of 10 days? c. Should Bosworth borrow the money to take the discount? d. If the banker requires a 20 percent compensating balance, how much must Bosworth borrow to end up with the $500,000? e. What would be the effective interest rate in part d if the interest charge for 60 days were $13,000? Should Bosworth borrow with the 20 percent compensating balance? (There are no funds to count against the compensating balance requirement.)
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-18
8-21. Continued Solution: Bosworth Petroleum a. Effective rate of interest
$8,100 $500,000 1.62 %
b. Cost of lost discount
360 60 6
9.72 %
2%
360
98%
70 10
2.04%
6 12.24%
c. Yes, because the cost of borrowing is less than the cost of losing the discount. d.
$500,000 1 C
$500 ,000 1 .20
e. Effective interest rate
$500 ,000 .80
$13,000 $625,000 - 125,000 $13,000 $500,000
6 2.6%
$625 ,000
Amount needed to be borrowed
360 60
6
15.6%
No, do not borrow with a compensating balance of 20 percent since the effective rate is greater than the savings from taking the trade discount.
S-19
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-22.
Columbus Shipping Company is negotiating with two banks for a $100,000 loan. Bankcorp of Ohio requires a 20 percent compensating balance, discounts the loan, and wants to be paid back in four quarterly payments. Cleveland Bank requires a 10 percent compensating balance, does not discount the loan, but wants to be paid back in 12 monthly installments. The stated rate for both banks is 10 percent. Compensating balances and any discounts will be subtracted from the $100,000 in determining the available funds in part a. a. Which loan should Columbus accept? b. Recompute the effective cost of interest, assuming Columbus ordinarily maintains $20,000 at each bank in deposits that will serve as compensating balances. c. How much did the compensating balances inflate the percentage interest costs? Does your choice of banks change if the assumption in part b is correct?
Solution: Columbus Shipping Company a. Bankcorp of Ohio Effective interest rate $100 ,000
2 4 $10 ,000 $20 ,000 $10 ,000
$80 ,000 / $350 ,000
4
22 .86 %
Cleveland Bank Effective interest rate 2 12 $10 ,000 $100 ,000 $10 ,000 12 $240 ,000 / $1,170 ,000
1
20 .51 %
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-20
1
8-22. Continued Choose Cleveland Bank since it has the lowest effective cost. b. The numerators stay the same as in part (a) but the denominator increases to reflect the use of more money because balances are already maintained at both banks. Bankcorp of Ohio Effective rate = $80,000/($100,000 – $10,000) x 5 = 17.78% Cleveland Bank Effective rate = $240,000/($100,000 x 13) = 18.46% c. The compensating balance assumption changed interest rates as follows:
Interest Cost with Comp/Bal. Without Comp/Bal. Difference in cost
Bankcorp 22.86% 17.78% 5.08%
Cleveland 20.51% 18.46% 2.05%
If compensating balances are maintained at both banks in the normal course of business, then Bankcorp of Ohio’s loan becomes cheaper than Cleveland Bank’s loan.
S-39
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-23.
Texas Oil Supplies sells to the 12 s listed below.
A............... B............... C............... D............... E............... F............... G............... H............... I................ J................ K............... L...............
Receivable Balance Outstanding $ 50,000 80,000 120,000 10,000 250,000 60,000 40,000 180,000 15,000 25,000 200,000 60,000
Average Age of the over the Last Year 35 25 47 15 35 51 18 60 43 33 41 28
J & J Financial Corporation will lend 90 percent against balances that have averaged 30 days or less; 80 percent for balances between 30 and 40 days; and 70 percent for balances between 40 and 45 days. Customers that take over 45 days to pay their bills are not considered as adequate s for a loan. The current prime rate is 12 percent, and J & J Financial Corporation charges 3 percent over prime to Texas Oil Supplies as its annual loan rate. a. Determine the maximum loan for which Texas Oil Supplies could qualify. b. Determine how much one month's interest expense would be on the loan balance determined in part a.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-40
8-23. Continued Solution: Texas Oil Supplies a.
0-30days B D G L Total loan % loan
Amount $ 80,000 10,000 40,000 60,000 190,000 90% $171,000
Total loan % loan
Amount $ 50,000 250,000 25,000 $325,000 80% $260,000
Total loan % loan
Amount $ 15,000 200,000 $215,000 70% $150,500
31-40days A E J
41-45days I K
Maximum Loan = $171,000 + $260,000 + $150,500 = $581,500 b.
Loan balances Interest, 15% annual One month’s interest
$ 581,500 (1.25%) $7,268.75
S-41
per month
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-24.
The treasurer for Thornton Pipe and Steel Company wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $105,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 7.4 percent. If they increase to 8.5 percent, assume the value of the contracts will go down by 10 percent. Also if interest rates do increase by 1.1 percent, assume the firm will have additional interest expense on its business loans and other commitments of $60,800. This expense, of course, will be separate from the futures contracts. a. What will be the profit or loss on the futures contract if interest rates go to 8.5 percent? b. Explain why a profit or loss took place on the futures contracts. c. After considering the hedging in part a, what is the net cost to the firm of the increased interest expense of $60,800? What percent of this increased cost did the treasurer effectively hedge away? d. Indicate whether there would be a profit or loss on the futures contracts if interest rates went down.
Solution: Thornton Pipe and Steel Company a. Sales price, December Treasury bond contract (Sale takes place in July) 5 x $105,000 = $525,000 Purchase price, December Treasury bond contract (10% price decline) .9 x $105,000 = $ 94,500 New Price of T-Bond 5 x $94,000 = $472,500 Value of 5 T-Bond Contracts Sold 5 T-Bond Contracts in July at $525,000 Purchased 5 T-Bond Contracts in December at $472,500 Profit on futures contracts $ 52,500 b. A profit took place because the value of the bond went down due to increasing rates. This meant the subsequent price was less than the initial sales price.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-42
8-24. Continued c. Increased interest cost Profit from hedging Net cost Net Cost Increased interest cost
$8,300 $60 ,800
$60,800 52,500 $ 8,300 13 .65 %
The net cost is 13.65%. This means 86.35% of the increased interest cost was hedged away. d. If interest rates went down, there would be a loss on the futures contracts. The lower interest rates would lead to higher bond prices and a purchase price that exceeded the original sales price.
S-43
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-44
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Problems 8-1.
Compute the cost of not taking the following cash discounts. a. b. c. d.
2/10, net 40. 2/15, net 30. 2/10, net 45. 3/10, net 90.
Solution: Cost of not = taking a cash discount
Discount % 100 % Disc. %
360 F i n ad lu de a t-e D i s c opnetr i o
a. Cost of = lost discount
2% 98%
360 40 10
= 2.04% x 12.00 = 24.48%
b. Cost of = lost discount
2% 98%
360 30 15
= 2.04 % x 24.00 = 48.96%
c. Cost of = lost discount
2% 98%
360 45 10
= 2.04% x 10.29 = 20.99%
d. Cost of = lost discount
3% 97%
360 90 10
= 3.09% x 4.50 = 13.91%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-2
8-2.
Delilah’s Haircuts can borrow from its bank at 13 percent to take a cash discount. The of the cash discount are 2/15, net 55. Should the firm borrow the funds?
Solution: Delilah’s Haircuts First, compute the cost of not taking the cash discount and compare this figure to the cost of the loan. Cost of not taking a cash discount
Discount % 100 % Disc. % 2% 98 % 2.04 %
final due date
360 discount period
360 55 15 9
18 .36 %
The cost of not taking the cash discount is greater than the cost of the loan (18.36% vs. 13%). The firm should borrow the money and take the cash discount. 8-3.
Your bank will lend you $4,000 for 45 days at a cost of $50 interest. What is your effective rate of interest?
Solution: Effective
rate
Interest Principal
Days in the year (360) Days loan is outstandin g
$50 360 $4,000 45 1.25 % 8 10 %
8-4.
Your bank will lend you $3,000 for 50 days at a cost of $45 interest. What is your effective rate of interest?
Solution:
S-3
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Effective
rate
Interest Principal
Days in the year (360) Days loan is outstandin g
$45 360 $3,000 50 1.5% 7.2 10 .80 %
8-5.
I.M. Boring borrows $5,000 for one year at 13 percent interest. What is the effective rate of interest if the loan is discounted?
Solution: I.M. Boring Effective rate on a discounted loan
Interest Princ. Int. $650 $5,000 $650 14 .94 %
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-4
Days per year (360) Days loan is outstandin 360 360
$650 $4,350
1
g
8-6.
Ida Kline borrows $8,000 for 90 days and pays $180 interest. What is the effective rate of interest if the loan is discounted?
Solution: Ida Kline Interest Princ. Int.
Effective rate on a discounted loan
Days per year (360) Days loan is outstandin
$180 $8,000 $180 2.30 %
8-7.
4
360 90
$180 $7,820
g
4
9.20 %
Mo and Chris’ Sporting Goods, Inc., borrows $14,500 for 20 days at 12 percent interest. What is the dollar cost of the loan? Use the formula: Dollar cost of loan
Amount borrowed
Interest rate
Days loan is outstandin g Days in the year 360
Solution: Mo and Chris’ Sporting Goods Dollar cost of loan = Amount Borrowed x Interest rate x $14 ,500 12 % $14 ,500 12 %
= $14,500
Days loan is outstandin g Days in the year (360) 20 360 1
18
.67% = $97.15
S-5
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-8.
Sampson Orange Juice Company normally takes 20 days to pay for its average daily credit purchases of $6,000. Its average daily sales are $7,000, and it collects s in 28 days. a. What is its net credit position? That is, compute its s receivable and s payable and subtract the latter from the former. s receivable = Average daily credit sales x Average collection period s payable = Average daily credit purchases x Average payment period b. If the firm extends its average payment period from 20 days to 35 days (and all else remains the same), what is the firm's new net credit position? Has it improved its cash flow?
Solution: Sampson Orange Juice Company a. Net credit position = s receivable – s payable Accts rec. = Average Daily Credit Purchases x Average Payment Period = $7,000 x 28 = $196,000 s payable = Average Daily Credit Purchases x Average Payment Period = $6,000 x 20 = $120,000 Net Credit Position = $196,000 – $120,000 = $76,000 b. s Receivable will remain at s Payable = $6,000 x 35 = Net Credit Position
$196,000 210,000 ($14,000)
The firm has improved its cash flow position. Instead of extending $76,000 more in credit (funds) than it is receiving, it has reversed the position and is the net recipient of $14,000 in credit.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-6
8-9.
Maxim Air Filters, Inc. plans to borrow $300,000 for one year. Northeast National Bank will lend the money at 10 percent interest and require a compensating balance of 20 percent. What is the effective rate of interest?
Solution: Maxim Air Filters, Inc. Effective rate of interest with 20% compensating balance = Interest rate 1 C
10% 1 .2
10% .8
12.5%
or Principal
Interest Compensati
$30 ,000 $300 ,000 $60 ,000
ng balance
1
$30 ,000 $240 ,000
Days of the Year (360) Days loan is outstandin g
1
12 .5%
S-7
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-10.
Digital Access, Inc. needs $400,000 in funds for a project. a. With a compensating balance requirement of 20%, how much will the firm need to borrow? b. Given your answer to part a and a stated interest rate of 9 percent on the total amount borrowed, what is the effective rate on the $400,000 actually being used?
Solution: Digital Access, Inc. a. Amount to be borrowed
Amount needed 1 C $400 ,000 1 .20
$400 ,000 .80
$500 ,000
b. $500,000 9% $ 45,000 $45,000 $400 ,000
total amount borrowed Interest rate Interest 11 .5%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-8
8-11.
Carey Company is borrowing $200,000 for one year at 12 percent from Second Intrastate Bank. The bank requires a 20 percent compensating balance. What is the effective rate of interest? What would the effective rate be if Carey were required to make 12 equal monthly payments to retire the loan? The principal, as used in Formula 8-6, refers to funds the firm can effectively utilize (Amount borrowed – Compensating balance).
Solution: Carey Company Effective rate of interest with 20% compensating balance = Interest Compensati
Principal
ng balance
$24 ,000 $200 ,000 $40 ,000
360 360
Days in the year 360 Days loan is outstandin g $24 ,000 $160 ,000
360 360
15 %
Installment loan with compensating balance 2 Annual no. payments Total no. of payments 1
12
Interest Principal
2 12 $24,000 1 $200 ,000 $40,000
$576 ,000 13 $160 ,000
$576 ,000 $2,080 ,000
27.69%
S-9
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-12.
Capone Child Care Centers, Inc., plans to borrow $250,000 for one year at 10 percent from the Chicago Bank and Trust Company. There is a 20 percent compensating balance requirement. Capone keeps minimum transaction balances of $18,000 in the normal course of business. This idle cash counts toward meeting the compensating balance requirement. What is the effective rate of interest?
Solution: Capone Child Care Centers, Inc. Effective rate of interest = Principal
Interest Compensati ng balance
$25,000 360 $250,000 $32,000 * 360
Days in the year 360 Days loan is outstandin g
$25,000 $218,000
11.47%
*Compensating Balance = 20% x 250,000 = $50,000 Normal Funds = 18,000 Restricted Compensating Balance $32,000
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-10
8-13.
The treasurer for Neiman Supermarkets is seeking a $30,000 loan for 180 days from Wrigley Bank and Trust. The stated interest rate is 10 percent, and there is a 15 percent compensating balance requirement. The treasurer always keeps a minimum of $2,500 in the firm’s checking s. These funds count toward meeting any compensating balance requirements. What is the effective rate of interest on this loan?
Solution: Neiman Supermarkets Effective rate of interest = Principal
Interest * Compensati ng balance
$1,500 $30 ,000 $2,000 * *
10% $30,000
180 360
360 180
Days in the year 360 Days loan is outstandin g
* 5.36 %
2
10 .72 %
$1,500
**Compensating Balance = 15% x 30,000 = $4,500 Normal Funds = 2,500 Restricted Compensating Balance $2,000
S-11
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-14.
Tucker Drilling Corp. plans to borrow $200,000. Northern National Bank will lend the money at one half percentage point over the prime rate of 8 ½ percent (9 percent total) and requires a compensating balance of 20 percent. Principal in this case refers to funds that the firm can effectively use in the business. What is the effective rate of interest? What would the effective rate be if Tucker Drilling were required to make four quarterly payments to retire the loan?
Solution: Tucker Drilling Corp. Effective rate of interest with 20% compensating balance = $18,000/($200,000 – $40,000) = $18,000/$160,000 = 11.25% Installment Loan with compensating balance 2 4 $18,000 5 $160 ,000
$144 ,000 / $800 ,000
Copyright © 2005 by The McGraw-Hill Companies, Inc.
18 .0%
S-12
8-15.
Your company plans to borrow $5 million for 12 months, and your banker gives you a stated rate of 14 percent interest. You would like to know the effective rate of interest for the following types of loans. (Each of the following parts stands alone.) a. b. c. d.
Simple 14 percent interest with a 10 percent compensating balance. Discounted interest. An installment loan (12 payments). Discounted interest with a 5 percent compensating balance.
Solution: a. Simple interest with a 10% compensating balance $700 ,000 $5,000 ,000 $500 ,000
1
$700 ,000 $4,500 ,000
15 .56 %
b. Discounted interest $700 ,000 1 $5,000 ,000 $700 ,000
$700 ,000 $4,300 ,000
16.28%
c. An installment loan with 12 payments 2 12 $700,000 13 $5,000,000
$16,800,000 $65,000 ,000
25.85%
d. Discounted interest with a 5% compensating balance $700,000/($5,000,000 – $700,000 – $250,000) = 17.28%
S-13
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-16.
If you borrow $12,000 at $900 interest for one year, what is your effective interest cost for the following payment plans? a. b. c. d.
Annual payment. Semiannual payments. Quarterly payments. Monthly payments.
Solution: a. $900/$12,000 = 7.5% Use formula 8-6 for b, c, and d. Rate on installment loan = 2 Annual no. of payments Interest Total no. of payments 1 Principal
b. (2 x 2 x $900)/(3 x $12,000) = $3,600/$36,000
= 10.00%
c. (2 x 4 x $900)/(5 x $12,000) = $7,200/$60,000
= 12.00%
d. (2 x 12 x $900)/(13 x $12,000) = $21,600/$156,000
= 13.85%
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-14
8-17.
Vroom Motorcycle Company is borrowing $30,000 from First State Bank. The total interest charge is $9,000. The loan will be paid by making equal monthly payments for the next three years. What is the effective rate of interest on this installment loan?
Solution: Vroom Motorcycle Company Rate on installment loan = 2
Annual no. of payments Total no. of payments 1 2 12 36
1
$9,000 $30 ,000
Interest Principal
$216 ,000 $1,110 ,000
19 .46 %
S-15
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-18.
Mr. Paul Promptly is a very cautious businessman. His supplier offers trade credit of 3/10, net 70. Mr. Promptly never takes the discount offered, but he pays his suppliers in 60 days rather than the 70 days allowed so he is sure the payments are never late. What is Mr. Promptly’s cost of not taking the cash discount?
Solution: Paul Promptly Cost of not taking a cash discount
10 0 0
D isco un t % % D isc. %
3 60 P aym en t D isco un t
10 0 0
3% % 3%
3.09 %
7.2
d ate p erio d
3 60 60 10 2 2 2 .25 %
In this problem, Mr. Promptly has the use of funds for 50 extra days (60-10), instead of 60 extra days (70-10). Mr. Promptly’s suppliers are offering of 3/10, net 70. Mr. Promptly is effectively accepting of 3/10, net 60.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-16
8-19.
The Ogden Timber Company buys from its suppliers on of 2/10, net 35. Ogden has not been utilizing the discount offered and has been taking 50 days to pay its bills. The suppliers seem to accept this payment pattern, and Ogden’s credit rating has not been hurt. Mr. Wood, Ogden Timber Company’s vice president, has suggested that the company begin to take the discount offered. Mr. Wood proposes the company borrow from its bank at a stated rate of 15 percent. The bank requires a 25 percent compensating balance on these loans. Current balances would not be available to meet any of this compensating balance requirement. Do you agree with Mr. Wood’s proposal?
Solution: The Ogden Timber Company Cost of not taking a cash discount
D i s c %o u n t 3 6 0 1 0%0 D i %s c F. i nd audl ea t D i s c po eu rn 2% 360 98% 50 10
2.04% 9 18.36%
We use 50 days instead of 35 days as the final due date because Ogden’s suppliers have effectively made this the due date even though the stated due date is 35 days. Effective rate of interest with a 25% compensating balance requirement: = Interest rate/(1 – C) = 15%/(1 – .25) = 15%/(.75) = 20% The effective cost of the loan, 20%, is more than the cost of pas the discount, 18.36%. Ogden Timber Company should continue to pay in 50 days and up the discount. S-17
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-20.
In problem 19, if the compensating balance requirement were 10 percent instead of 25 percent, would you change your answer? Do the appropriate calculation.
Solution: The Ogden Time Company (Continued) Effective rate of interest with a 10% compensating balance requirement: Interest rate 1 C
15% 1 .1
15% .9
16.67%
The answer now changes. The effective cost of the loan, 16.67%, is less than the cost of pas the discount. Ogden Timber Company should borrow the funds and take the discount. 8-21.
Bosworth Petroleum needs $500,000 to take a cash discount of 2/10, net 70. A banker will loan the money for 60 days at an interest cost of $8,100. a. What is the effective rate on the bank loan? b. How much would it cost (in percentage ) if Bosworth did not take the cash discount, but paid the bill in 70 days instead of 10 days? c. Should Bosworth borrow the money to take the discount? d. If the banker requires a 20 percent compensating balance, how much must Bosworth borrow to end up with the $500,000? e. What would be the effective interest rate in part d if the interest charge for 60 days were $13,000? Should Bosworth borrow with the 20 percent compensating balance? (There are no funds to count against the compensating balance requirement.)
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-18
8-21. Continued Solution: Bosworth Petroleum a. Effective rate of interest
$8,100 $500,000 1.62 %
b. Cost of lost discount
360 60 6
9.72 %
2%
360
98%
70 10
2.04%
6 12.24%
c. Yes, because the cost of borrowing is less than the cost of losing the discount. d.
$500,000 1 C
$500 ,000 1 .20
e. Effective interest rate
$500 ,000 .80
$13,000 $625,000 - 125,000 $13,000 $500,000
6 2.6%
$625 ,000
Amount needed to be borrowed
360 60
6
15.6%
No, do not borrow with a compensating balance of 20 percent since the effective rate is greater than the savings from taking the trade discount.
S-19
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-22.
Columbus Shipping Company is negotiating with two banks for a $100,000 loan. Bankcorp of Ohio requires a 20 percent compensating balance, discounts the loan, and wants to be paid back in four quarterly payments. Cleveland Bank requires a 10 percent compensating balance, does not discount the loan, but wants to be paid back in 12 monthly installments. The stated rate for both banks is 10 percent. Compensating balances and any discounts will be subtracted from the $100,000 in determining the available funds in part a. a. Which loan should Columbus accept? b. Recompute the effective cost of interest, assuming Columbus ordinarily maintains $20,000 at each bank in deposits that will serve as compensating balances. c. How much did the compensating balances inflate the percentage interest costs? Does your choice of banks change if the assumption in part b is correct?
Solution: Columbus Shipping Company a. Bankcorp of Ohio Effective interest rate $100 ,000
2 4 $10 ,000 $20 ,000 $10 ,000
$80 ,000 / $350 ,000
4
22 .86 %
Cleveland Bank Effective interest rate 2 12 $10 ,000 $100 ,000 $10 ,000 12 $240 ,000 / $1,170 ,000
1
20 .51 %
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-20
1
8-22. Continued Choose Cleveland Bank since it has the lowest effective cost. b. The numerators stay the same as in part (a) but the denominator increases to reflect the use of more money because balances are already maintained at both banks. Bankcorp of Ohio Effective rate = $80,000/($100,000 – $10,000) x 5 = 17.78% Cleveland Bank Effective rate = $240,000/($100,000 x 13) = 18.46% c. The compensating balance assumption changed interest rates as follows:
Interest Cost with Comp/Bal. Without Comp/Bal. Difference in cost
Bankcorp 22.86% 17.78% 5.08%
Cleveland 20.51% 18.46% 2.05%
If compensating balances are maintained at both banks in the normal course of business, then Bankcorp of Ohio’s loan becomes cheaper than Cleveland Bank’s loan.
S-39
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-23.
Texas Oil Supplies sells to the 12 s listed below.
A............... B............... C............... D............... E............... F............... G............... H............... I................ J................ K............... L...............
Receivable Balance Outstanding $ 50,000 80,000 120,000 10,000 250,000 60,000 40,000 180,000 15,000 25,000 200,000 60,000
Average Age of the over the Last Year 35 25 47 15 35 51 18 60 43 33 41 28
J & J Financial Corporation will lend 90 percent against balances that have averaged 30 days or less; 80 percent for balances between 30 and 40 days; and 70 percent for balances between 40 and 45 days. Customers that take over 45 days to pay their bills are not considered as adequate s for a loan. The current prime rate is 12 percent, and J & J Financial Corporation charges 3 percent over prime to Texas Oil Supplies as its annual loan rate. a. Determine the maximum loan for which Texas Oil Supplies could qualify. b. Determine how much one month's interest expense would be on the loan balance determined in part a.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-40
8-23. Continued Solution: Texas Oil Supplies a.
0-30days B D G L Total loan % loan
Amount $ 80,000 10,000 40,000 60,000 190,000 90% $171,000
Total loan % loan
Amount $ 50,000 250,000 25,000 $325,000 80% $260,000
Total loan % loan
Amount $ 15,000 200,000 $215,000 70% $150,500
31-40days A E J
41-45days I K
Maximum Loan = $171,000 + $260,000 + $150,500 = $581,500 b.
Loan balances Interest, 15% annual One month’s interest
$ 581,500 (1.25%) $7,268.75
S-41
per month
Copyright © 2005 by The McGraw-Hill Companies, Inc.
8-24.
The treasurer for Thornton Pipe and Steel Company wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $105,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 7.4 percent. If they increase to 8.5 percent, assume the value of the contracts will go down by 10 percent. Also if interest rates do increase by 1.1 percent, assume the firm will have additional interest expense on its business loans and other commitments of $60,800. This expense, of course, will be separate from the futures contracts. a. What will be the profit or loss on the futures contract if interest rates go to 8.5 percent? b. Explain why a profit or loss took place on the futures contracts. c. After considering the hedging in part a, what is the net cost to the firm of the increased interest expense of $60,800? What percent of this increased cost did the treasurer effectively hedge away? d. Indicate whether there would be a profit or loss on the futures contracts if interest rates went down.
Solution: Thornton Pipe and Steel Company a. Sales price, December Treasury bond contract (Sale takes place in July) 5 x $105,000 = $525,000 Purchase price, December Treasury bond contract (10% price decline) .9 x $105,000 = $ 94,500 New Price of T-Bond 5 x $94,000 = $472,500 Value of 5 T-Bond Contracts Sold 5 T-Bond Contracts in July at $525,000 Purchased 5 T-Bond Contracts in December at $472,500 Profit on futures contracts $ 52,500 b. A profit took place because the value of the bond went down due to increasing rates. This meant the subsequent price was less than the initial sales price.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-42
8-24. Continued c. Increased interest cost Profit from hedging Net cost Net Cost Increased interest cost
$8,300 $60 ,800
$60,800 52,500 $ 8,300 13 .65 %
The net cost is 13.65%. This means 86.35% of the increased interest cost was hedged away. d. If interest rates went down, there would be a loss on the futures contracts. The lower interest rates would lead to higher bond prices and a purchase price that exceeded the original sales price.
S-43
Copyright © 2005 by The McGraw-Hill Companies, Inc.
Copyright © 2005 by The McGraw-Hill Companies, Inc.
S-44
Related Documents 3h463d
Cap 8 6u2d52
December 2019 44
Cap 8. 154q2r
April 2022 0
Cap 8 Y Cap 9 2r5j6h
February 2021 0
Cuestionario Cap 8 r14b
August 2020 0
Problemas Cap 8 1i3k1d
April 2020 22
Resposta Cisco Cap 8 3x1k2y
June 2020 4More Documents from "Uver Jhon Terrones Leon" 5v462i
Cap 8 6u2d52
December 2019 44
Metodo De Ventas Y Compras Omitidas - Tercer Examen 3336v
October 2020 0
Nagas (auditoria) kv4b
December 2019 33
4p345f
January 2023 0
El Contrato Social.docx 2g6p44
November 2020 0