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Chapter 9 Current Liabilities, Contingencies, and the Time Value of Money Copyright © 2009 South-Western, a part of Cengage Learning. Financial Accounting: The Impact on Decision Makers 6/e by Gary A. Porter and Curtis L. Norton
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Liabilities and shareholders' equity Current liabilities: Accounts payable $ 340,937 Accrued compensation and related costs 288,963 Accrued occupancy costs54,868 Accrued taxes 94,010 Short-term borrowings700,000 Other accrued expenses224,154 Deferred revenue231,926 Current portion of long term debt 762 Total current liabilities $1,935,620 Starbucks Corp. Partial Balance Sheet (in thousands) Requires payment within one year 2006
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Selected 2006 Liquidity Ratios Current Quick Industry Ratio Ratio Starbucks Food.79.39 Caribou Coffee Food.92.56 Green Mountain Food 1.74.89 LO1
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Accounts Payable Amounts owed for the purchase of inventory, goods, or services on credit Discount payment terms offered to encourage early payment 2/10, n30
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Promissory Note S.J.Devona I promise to pay $1,000 plus 12% annual interest on December 31, 2008. Date: January 1, 2008 Signed: _________ Hot Coffee Inc. Total repayment = $1,120 $1,000 + ($1,000 × 12%)
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Discounted Promissory Note In exchange for $880 received today, I promise to pay $1,000 on December 31, 2008. Date: January 1, 2008 Signed: _________ Hot Coffee, Inc. Effective interest rate on note = 13.6% ($120 interest/$880 proceeds)
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1/1/08 12/31/08 Notes Payable $1,000 $1,000 Less: Discount on Notes Payable 120 - 0 - Net Liability $ 880 $1,000 Balance Sheet Presentation of Discounted Notes Discount transferred to interest expense over life of note
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Current Maturities of Long-Term Debt Principal repayment on borrowings due within one year of balance sheet date Due in upcoming year
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Taxes Payable Record expense when incurred, not when paid Record 2007 tax expense Taxes Paid 12/31/073/15/08 LO2
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Current 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 – LO3
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Contingent Liabilities Obligation involving existing condition Outcome not known with certainty Dependent upon some future event Actual amount is estimated LO4
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Accrue estimated amount if: Liability is probable Amount can be reasonably estimated Contingent Liabilities In year criteria are met: Expense(loss)XXX Liability XXX
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Warranties Premium or coupon offers Lawsuits Typical Contingent Liabilities
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Recording Contingent Liabilities Quickkey Computer sells a computer product for $5,000 with a one-year warranty. In 2008, 100 computers were sold for a total sales revenue of $500,000. Analyzing past records, Quickkey estimates that repairs will average 2% of total sales. Example:
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Recording Contingent Liabilities Probable liability has been incurred? Amount reasonably estimable? Warranty Expense 10,000 Estimated Liability 10,000 YES Record in 2008:
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Disclosing Contingent Liabilities IF not probable but reasonably possible OR amount not estimable Disclose in Financial Statement notes
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Contingent Assets Contingent gains and assets are not recorded but may be disclosed in financial statement notes Conservatism principle applies
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Time Value of Money Prefer payment at the present time rather than in the future due to the interest factor Applicable to both personal and business decisions
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Simple Interest I = P × R × T Principal Dollar amount of interest per year Time in years Interest rate as a percentage LO5
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Example of Simple Interest Given following data: principal amount = $ 3,000 annual interest rate = 10% term of note = 2 years Calculate interest on the note.
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Example 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 × R × T $3,000 ×.10 × 2 = $ 600
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Compound Interest Interest is calculated on principal plus previously accumulated interest Interest on interest Compound interest amount always higher than simple interest due to interest on interest
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Example of Interest Compounding Given following data: principal amount = $ 3,000 annual interest rate = 10% term of note = 2 years semiannual compounding of interest Calculate interest on note. LO6
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Compound Interest Periods 4 periods @ 5% semiannual interest Year 1Year 2 10% annually 5% + 5% semiannually 5% + 5% semiannually
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Example of Interest Compounding Principal Amount at Beginning Interest at Accumulated Period of Year 5% per Period at End of Period 1 $3,000$150 $3,150 2 3,150 158 3,308 3 3,308 165 3,473 4 3,473 174 3,647
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Comparing Interest Methods Simple annual interest: $3,000 ×.10 × 2 = $600 Semiannual compounding: 1$150 2 158 3 165 4 174 Total $647
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Compound Interest Computations Present value of an annuity Future value of an annuity Present value of a single amount Future value of a single amount
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Future Value of Single Amount Known amount of single payment or investment Future Value + Interest =
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Future Value of a Single Amount If you invest $2,000 today @ 10% compound interest, what will it be worth 2 years from now? invest $2,000 Future Value = ? + Interest @ 10% per year Year 1Year 2 Example:
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Future Value of a Single Amount Example – Using Formulas FV = p(1 + i) n = $2,000(1.10) 2 = $2,420
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FV = Present value × table factor = $2,000 × (2 periods @ 10%) Future Value of a Single Amount Example – Using Tables FV = ?? PV = $2,000 Year 1Year 2
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(n) 2% 4% 6% 8% 10% 12% 15% 11.020 1.0401.0601.0801.1001.1201.150 21.0401.082 1.124 1.1661.2101.2541.323 31.0611.1251.1911.2601.3311.4051.521 41.0821.1701.2621.3601.4641.5741.749 51.1041.2171.3381.4701.6111.7622.011 61.1261.2651.4191.5871.7721.9742.313 71.1491.3161.5041.7141.9492.2112.660 81.1721.3691.5941.8512.1442.4763.059 Future Value of $1
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FV = Present value × table factor = $2,000 × (2 periods @ 10%) = $2,000 × 1.210 = $2,420 Future Value of a Single Amount Example – Using Tables PV = $2,000 Year 1Year 2 FV = $2,420
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Present Value of Single Amount Discount Known amount of single payment in future Present Value
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Present Value of a Single Amount If you will receive $2,000 in two years, what is it worth today (assuming you could invest at 10% compound interest)? $2,000 Discount @ 10% Year 1Year 2 Present Value = ? Example:
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Present Value of a Single Amount Example – Using Formulas PV = Future value × (1 + i) –n = $2,000 × (1.10) –2 = $1,652
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PV = Future value × table factor = $2,000 × (2 periods @ 10%) Present Value of a Single Amount Example – Using Tables FV = $2,000 PV = ?? Year 1Year 2
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(n) 2% 4% 6% 8% 10% 12% 15% 10.980 0.9620.9430.9260.9090.8930.870 20.9610.925 0.890 0.8570.8260.7970.756 30.9420.8890.8400.7940.7510.7120.658 40.9240.8550.7920.7350.6830.6360.572 50.9060.8220.7470.6810.6210.5670.497 60.8880.7900.7050.6300.5640.5070.432 70.8710.7600.6650.5830.5130.4520.376 80.8530.7310.6270.5400.4670.4040.327 Present Value of $1
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PV = Future value × table factor = $2,000 × (2 periods @ 10%) = $2,000 × 0.826 = $1,652 Present Value of a Single Amount Example – Using Tables PV = $1,652 Year 1Year 2 FV = $2,000
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Periods Future Value = ? + Interest Future Value of an Annuity 1 2 3 4 $0 $3,000 $3,000$3,000 $3,000
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If we invest $3,000 each year for four years at 10% compound interest, what will it be worth 4 years from now? Future Value of an Annuity $0 $3,000 $3,000 $3,000 $3,000 Year 1 Year 2 Year 3 Year 4 FV = ?? Example:
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$0 $3,000 $3,000 $3,000 $3,000 Year 1 Year 2 Year 3 Year 4 FV = ?? Future Value of an Annuity FV = Payment × table factor = $3,000 × (4 periods @ 10%) Example:
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(n) 2% 4% 6% 8% 10% 12% 15% 11.000 1.0001.0001.0001.0001.0001.000 22.0202.040 2.060 2.0802.1002.1202.150 33.0603.1223.1843.2463.3103.3743.473 44.1224.2464.3754.5064.6414.7794.993 55.2045.4165.6375.8676.1056.3536.742 66.3086.6336.9757.3367.7168.1158.754 77.4347.8988.3948.923 9.48710.08911.067 88.5839.2149.897 10.637 11.43612.30013.727 Future Value of Annuity of $1
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Future Value of an Annuity $0 $3,000 $3,000 $3,000 $3,000 Year 1 Year 2 Year 3 Year 4 FV = $13,923 PV = Payment × table factor = $3,000 × (4 periods @ 10%) = $3,000 × 4.641 = $13,923 Example:
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Present Value of an Annuity 1 2 3 4 $0 $4,000 $4,000 $4,000 $4,000 Periods Discount Present Value = ?
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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? Present Value of an Annuity $0 $4,000 $4,000 $4,000 $4,000 Year 1 Year 2 Year 3 Year 4 PV = ?? Example:
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$0 $4,000 $4,000 $4,000 $4,000 Year 1 Year 2 Year 3 Year 4 PV = ?? Present Value of an Annuity PV = Payment × table factor = $4,000 × (4 periods @ 10%) Example:
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(n) 2% 4% 6% 8% 10% 12% 15% 10.980 0.9620.9430.9260.9090.8930.870 21.9421.886 1.833 1.7831.7361.6901.626 32.8842.7752.6732.5772.4872.4022.283 43.8083.6303.4653.3123.1703.0372.855 54.7134.4524.2123.9933.7913.6053.352 65.6015.2424.9174.6234.3554.1113.784 76.4726.0025.5825.2064.8684.5644.160 87.3256.7336.2105.7475.3354.9684.487 Present Value of Annuity of $1
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Present Value of an Annuity $0 $4,000 $4,000 $4,000 $4,000 Year 1 Year 2 Year 3 Year 4 PV = $12,680 PV = Payment × table factor = $4,000 × (4 periods @ 10%) = $4,000 × 3.170 = $12,680 Example:
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Solving for Unknowns Example 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? LO7 Year 1 Year 2 Year 3 Year 4 Year 5 $0$4,000 $4,000 $4,000 $4,000 $4,000 Discount PV = $14,420
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Solving for Unknowns Example PV = Payment × table factor Table factor = PV/payment Year 1 Year 2 Year 3 Year 4 Year 5 $0$4,000 $4,000 $4,000 $4,000 $4,000 PV = $14,420 Rearrange equation to solve for unknown
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Solving for Unknowns Example Year 1 Year 2 Year 3 Year 4 Year 5 $0$4,000 $4,000 $4,000 $4,000 $4,000 PV = $14,420 Table factor = PV/payment = $14,420/$4,000 = 3.605
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(n) 2% 4% 6% 8% 10% 12% 15% 10.980 0.9620.9430.9260.9090.8930.870 21.9421.886 1.833 1.7831.7361.6901.626 32.8842.7752.6732.5772.4872.4022.283 43.8083.6303.4653.3123.1703.0372.855 54.7134.4524.2123.9933.7913.6053.352 65.6015.2424.9174.6234.3554.1113.784 76.4726.0025.5825.2064.8684.5644.160 87.3256.7336.2105.7475.3354.9684.487 Present Value of Annuity of $1 The factor of 3.605 equates to an interest rate of 12%
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Appendix Accounting Tools: Using Excel for Problems Involving Interest Calculations
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Using Excel Functions Many functions built into Excel, including PV and FV calculations Click on the PASTE function (fx) of the Excel toolbar or the Insert command
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FV Function in Excel Find the FV of a 10% note payable for $2,000, due in 2 years and compounded annually Example: Answer: $2,420
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PV Function in Excel How much should you invest now at 10% (compounded annually) in order to have $2,000 in 2 years? Example: Answer: $1,653 (rounded)
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End of Chapter 9
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