Title: Current Liabilities, Contingencies, and the Time Value of Money
1Chapter 9
Current Liabilities, Contingencies, and the Time
Value of Money
Financial Accounting, Alternate 4e by Porter and
Norton
2McDonald's Corporation2002 Consolidated Balance
Sheet (partial)
Listed in order of liquidity
(in millions)
- Liabilities and shareholders' equity
- Current liabilities
- Notes payable .3
- Accounts payable 635.8
- Income taxes 16.3
- Other taxes 191.8
- Accrued interest 199.4
- Accrued restructuring and restaurant
- closing costs 328.5
- Accrued payroll and other liabilities 774.7
- Current maturities of long-term debt
275.5 - Total current liabilities 2,422.3
Require payment within one year
3Selected 2002 Liquidity Ratios
- Current Quick
- Ratio Ratio
- Georgia-Pacific 1.16 0.64
- J. C. Penney 2.00 0.76
- Johnson Controls 1.03 0.82
- McDonald's 0.71 0.49
- Pfizer 1.34 1.09
4Accounts Payable
- Purchase of inventory, goods or services on credit
5Promissory Note
I promise to pay 1,000 plus 12 annual interest
on December 31, 2004. Date January 1,
2004 Signed_________
Lamanski Co.
S.J.Devona
Total repayment 1,120 1,000 (1,000 x 12)
6Discounted Promissory Note
Effective interest rate on note 13.6 (120
interest / 880 proceeds)
7Balance Sheet Presentation of Discounted Notes
Discount transferred to interest expense over
life of note
- 1/1/04 12/31/04
- Notes Payable 1,000 1,000
- Less Discount on
- Notes Payable 120 - 0 -
- Net Liability 880 1,000
8Current Maturities of Long-Term Debt
- Principal repayment on borrowings due within one
year of balance sheet date
Due in upcoming year
8
9Taxes Payable
- Record expense when incurred not when paid
12/31/04
3/15/05
Record 2004 tax expense
Taxes Paid
10Current Liabilities on the Statement of Cash
Flows
- Operating Activities
- Net income xxx
- Increase in current liability
- Decrease in current liability
- Investing Activities
- Financing Activities
- Increase in notes payable
- Decrease in notes payable
-
11Contingent Liability
- Obligation involving existing condition
- Outcome not known with certainty
- Dependent upon some future event
- Actual amount is estimated
11
12Contingent Liability
- Accrue estimated amount if
- Liability is probable
- Amount can be reasonably estimated
Record in year criteria are met Assets
Liab. O/E Rev. Exp.
Est. Liab. For Warranty Exp.
10,000 Warranty 10,000
Balance Sheet
Income Statement
13Typical Contingent Liabilities
- Warranties
- Premium or coupon offers
- Lawsuits
13
14Recording Contingent Liabilities
Example
- Quickkey Computer sells a computer product for
5,000 with a one-year warranty. In 2004, 100 of
these products were sold for a total sales
revenue of 500,000. - Analyzing past records, Quickkey estimates that
repairs will average 2 of total sales.
15Recording Contingent Liabilities
Probable liability has been incurred? Amount
reasonably estimable?
YES
YES
Record in 2004
Estimated Liability for Warranty 100,000
Warranty Expense 100,000
16Disclosing Contingent Liabilities
IF not probable but reasonably
possible OR amount not estimable
17Contingent Assets
- Contingent gains and assets are not recorded but
may be disclosed in footnotes
- Conservatism principle applies
17
18Time Value of Money
- Prefer payment now vs. in future due to interest
factor
- Applicable to both personal and business decisions
18
19Simple Interest
I P x R x T
Dollar amount of interest per year
Time in years
Principal amount
Interest rate as a percentage
20Example of Simple Interest
Given following data principal amount
3,000 annual interest rate
10 term of note 2
years Calculate interest on the note.
20
21Example of Simple Interest
Given following data principal amount
3,000 annual interest rate
10 term of note 2
years Calculate interest on the note. P x R
x T 3,000 x .10 x 2 600
21
22Compound Interest
- Interest is calculated on principal plus
previously accumulated interest -
Compounding can occur annually, semi-annually,
quarterly, etc.
22
23Example of Compound Interest
Given following data principal amount
3,000 annual interest rate
10 term of note 2
years semiannual compounding of interest
Calculate interest on note.
24Compound Interest Periods
Year 1 Year 2 10 annually 10
annually
5 5 semiannually
5 5 semiannually
4 periods _at_ 5 semi-annual interest
25Example of Compound Interest
26Comparing Interest Methods
Simple annual interest 3,000 x .10 x
2 600 Semiannual compounding 1
150 2 158 3 165
4 174 Total 647
27Compound Interest Computations
Present value of a single amount
Future value of a single amount
Present value of an annuity
Future value of an annuity
28Future Value of Single Amount
Known amount of single payment or deposit
Future Value
Interest
29Future Value of a Single Amount Example
- If you invest 10,000 today _at_ 10 compound
interest, what will it be worth 3 years from now? -
invest 10,000
Future Value?
Yr. 1
Yr. 2
Yr. 3
Interest _at_ 10 per year
30Future Value of a Single Amount Example - Using
Formulas
n FV p (1 i) 3 10,000
(1.10) 13,310
31Future Value of a Single Amount Example - Using
Tables
Yr. 1
Yr. 2
Yr. 3
- FV Present Value x FV Factor
- 10,000 X (3 periods _at_ 10)
32Future Value of 1
- (n) 2 4 6 8 10
- 1 1.020 1.040 1.060 1.080 1.10
- 2 1.040 1.082 1.124 1.166 1.210
- 3 1.061 1.125 1.191 1.260 1.331
- 4 1.082 1.170 1.262 1.360 1.464
- 5 1.104 1.217 1.338 1.470 1.611
- 6 1.126 1.265 1.419 1.587 1.772
- 7 1.149 1.316 1.504 1.714 1.949
- 8 1.172 1.369 1.594 1.851 2.144
-
33Future Value of a Single Amount Example - Using
Tables
Yr. 1
Yr. 2
Yr. 3
10,000 PV
FV 13,310
- FV Present Value x FV Factor
- 10,000 X (3 periods _at_ 10)
- 10,000 X 1.331
- 13,310
34Present Value of Single Amount
Known amount of single payment in future
Present Value
Discount
34
35Present Value of a Single Amount Example
- If you will receive 10,000 in three years, what
is it worth today (assuming you could invest at
10 compound interest)?
Present Value?
10,000
Yr. 1
Yr. 2
Yr. 3
Discount _at_ 10
36Present Value of a Single Amount Example - Using
Formulas
-n PV payment x (1 i) -3
10,000 x (1.10) 7,513
37Present Value of a Single Amount Example - Using
Tables
Yr. 1
Yr. 2
Yr. 3
- PV Future Value x PV Factor
- 10,000 X (3 periods _at_ 10)
38Present Value of 1
- (n) 2 4 6 8 10
- 1 .9804 .9615 .9434 .9259 .9090
- 2 .9612 .9246 .8900 .8573 .8265
- 3 .9423 .8890 .8396 .7938 .7513
- 4 .9238 .8548 .7921 .7350 .6830
- 5 .9057 .8219 .7473 .6806 .6209
-
39Present Value of a Single Amount Example - Using
Tables
Yr. 1
Yr. 2
Yr. 3
PV 7,513
FV10,000
- PV Future Value x PV Factor
- 10,000 X (3 periods _at_ 10)
- 10,000 X .7513
- 7,513
40Future Value of an Annuity
Periods
1 2 3 4
0 3,000 3,000 3,000 3,000
Interest
Future Value?
41Future Value of Annuity Example
- If we invest 3,000 each year for four years at
10 compound interest, what will it be worth 4
years from now?
Yr. 1 Yr. 2 Yr. 3 Yr. 4
0 3,000 3,000 3,000
3,000
FV ??
42Future Value of Annuity Example
Yr. 1 Yr. 2 Yr. 3 Yr. 4
0 3,000 3,000 3,000
3,000
FV ??
- FV Payment x FV Factor
- 3,000 x (4 periods _at_ 10)
-
43Future Value of Annuity of 1
- (n) 2 4 6 8 10 12
- 1 1.000 1.000 1.000 1.000 1.000
1.000 - 2 2.020 2.040 2.060 2.080 2.100 2.120
- 3 3.060 3.122 3.184 3.246 3.310 3.374
- 4 4.122 4.246 4.375 4.506 4.641 4.779
- 5 5.204 5.416 5.637 5.867 6.105 6.353
-
44Future Value of Annuity Example
FV 13,923
- FV Payment x FV Factor
- 3,000 x (4 periods _at_ 10)
- 3,000 x 4.641
- 13,923
45Present Value of an Annuity
46Present Value of an Annuity Example
- What is the value today of receiving 4,000 at
the end of the next 4 years, assuming you can
invest at 10 compound annual interest?
PV ??
47Present Value of an Annuity Example
- PV Payment x PV Factor
- 500 x (4 periods _at_ 10)
48Present Value of Annuity of 1
- (n) 2 4 6 8 10
- 1 0.980 0.962 0.943 0.926 0.909
- 2 1.942 1.886 1.833 1.783 1.735
- 3 2.884 2.775 2.673 2.577 2.487
- 4 3.808 3.630 3.465 3.312 3.170
- 5 4.713 4.452 4.212 3.992 3.791
49Present Value of an Annuity Example
Yr. 1 Yr. 2 Yr. 3 Yr. 4
0 4,000 4,000 4,000 4,000
P.V. 12,680
- PV Payment x PV Factor
- 4,000 x (4 periods _at_ 10)
- 4,000 x 3.170
- 12,680
50Solving for Unknowns
- Assume that you have just purchased a new car for
14,420. Your bank has offered you a 5-year
loan, with annual payments of 4,000 due at the
end of each year. What is the interest rate - being charged
- on the loan?
51Solving for Unknowns
Yr. 1 Yr. 2 Yr. 3 Yr. 4 Yr. 5
discount discount discount discount
discount PV 14,420
- PV Payment x PV factor
- PV factor PV / Payment
-
rearrange equation to solve for unknown
52Solving for Unknowns
Yr. 1 Yr. 2 Yr. 3 Yr. 4 Yr. 5
discount discount discount discount
discount PV 14,420
- PV factor PV / Payment
- 14,420 / 4,000
- 3.605
-
53Present Value of an Annuity Table
- (n) 10 11 12 15
- 1 0.909 0.901 0.893 0.870
- 2 1.736 1.713 1.690 1.626
- 3 2.487 2.444 2.402 2.283
- 4 3.170 3.102 3.037 2.855
- 5 3.791 3.696 3.605 3.352
-
PV factor of 3.605 equates to an interest rate of
12.
53
54 Appendix A
- Accounting Tools
- Payroll Accounting
55Calculation of Gross Wages
- Hourly
- Multiply the number of hours worked times
employees hourly rate - Salaried
- Paid at a flat rate per week, month, or year,
regardless of hours
56Calculation of Net Pay
- Gross wages
- - Income tax (federal, state, local)
- - FICA
- - Voluntary deductions
- (includes health insurance, retirement
contributions, savings plans, charitable
contributions, union dues) - Net pay
57Employer Payroll Taxes
- Not deducted from paycheck employer pays taxes
per employee, in addition to salary - FICA employers share
- Unemployment tax
58Payroll Accounting
Example
Gross wages for Kori Company for July are
100,000. The following amounts have been
withheld from employees paychecks Kori
Companys unemployment tax rate is 6. Show the
effects of these transactions on the accounting
equation.
Income Tax 20,000 FICA 7,650 United
Way contributions 5,000 Union dues 3,000
59Payroll Accounting
- Record July salary and deductions
- Assets Liab. O/E Rev.
Exp. - Salary Pay. 64,350
Salary Exp. (100,000) - Inc. Tax Pay. 20,000
- FICA Pay. 7,650
- United Way Pay. 5,000
- Union Dues Pay. 3,000
60Payroll Accounting
- Record payment of employee salaries
- Assets Liab. O/E Rev.
Exp. - Cash (64,350) Salary Pay. (64,350)
- Record employers payroll taxes
- Assets Liab. O/E Rev.
Exp. - FICA Pay. 7,650
Payroll Tax Exp. (13,650) - Unemploy.
- Tax Pay. 6,000
61Compensated Absences
- Employee absences for which the employee will be
paid - Vacation, illness, holidays
- Accrued as a liability if
- The services have been rendered
- The rights (days) accumulate
- Payment is probable and can be reasonably
estimated
62 Appendix B
- Accounting Tools
- Using Excel for Problems Involving Interest
Calculations
63Using Excel Functions
- Many functions built into Excel, including PV and
FV calculations - Click on Paste or Insert button for list
64FV Function in Excel
Example
- Find the FV of a 10 note payable for 2,000,
due in 2 years and compounded annually
Answer 2,420
65PV Function in Excel
Example
- How much should you invest now at 10
(compounded annually) in order to have 2,000 in
2 years?
Answer 1,653 (rounded)
66End of Chapter 9