4-1 4 ACCRUAL ACCOUNTING CONCEPTS 4-2 Accounting, Fourth Edition Study Objectives 4-3 1. Explain the revenue recognition principle and the expense recognition principle. 2. Differentiate between the cash basis and the accrual basis of accounting. 3. Explain why adjusting entries are needed, and identify the major types of adjusting entries. 4. Prepare adjusting entries for deferrals. 5. Prepare adjusting entries for accruals. 6. Describe the nature and purpose of the adjusted trial balance. 7. Explain the purpose of closing entries. 8. Describe the required steps in the accounting cycle. 9. Understand the causes of differences between net income and cash provided by operating activities. Accrual Accounting Concepts Timing Issues The Basics of Adjusting Entries Revenue recognition principle Types of adjusting entries Preparing the adjusted trial balance Expense recognition principle Adjusting entries for deferrals Preparing financial statements Accrual versus cash basis of accounting Adjusting entries for accruals Summary of basic relationships 4-4 The Adjusted Trial Balance and Financial Statements Closing the Books Quality of Earnings Preparing closing entries Earnings management Preparing a post-closing trial balance Sarbanes-Oxley Summary of the accounting cycle Timing Issues Accountants divide the economic life of a business into artificial time periods (Periodicity Assumption). ..... Jan. Feb. Mar. Apr. Dec. Generally a month, a quarter, or a year. Fiscal year vs. calendar year 4-5 SO 1 Explain the revenue recognition principle and the expense recognition principle. Timing Issues Review Question What is the periodicity assumption? a. Companies should recognize revenue in the accounting period in which it is earned. b. Companies should match expenses with revenues. c. The economic life of a business can be divided into artificial time periods. d. The fiscal year should correspond with the calendar year. 4-6 SO 1 Explain the revenue recognition principle and the expense recognition principle. Timing Issues The Revenue Recognition Principle Companies recognize revenue in the accounting period in which it is earned. In a service enterprise, revenue is considered to be earned at the time the service is performed. 4-7 SO 1 Explain the revenue recognition principle and the expense recognition principle. Timing Issues Illustration: Assume Conrad Dry Cleaners cleans clothing on June 30, but customers do not claim and pay for their clothes until the first week of July. The journal entries for June and July would be: 4-8 SO 1 Explain the revenue recognition principle and the expense recognition principle. Timing Issues Illustration 4-1 (Partial) “Let the expenses follow the revenues.” 4-9 SO 1 Explain the revenue recognition principle and the expense recognition principle. Timing Issues Illustration 4-1 GAAP relationships in revenue and expense recognition 4-10 SO 1 Explain the revenue recognition principle and the expense recognition principle. 4-11 Discussion on notes page. Timing Issues Accrual versus Cash Basis of Accounting Accrual-Basis Accounting ► Transactions recorded in the periods in which the events occur. ► Revenues are recognized when earned, even if cash was not received. ► Expenses are recognized when incurred, even if cash was not paid. 4-12 SO 2 Differentiate between the cash basis and the accrual basis of accounting. Timing Issues Accrual versus Cash Basis of Accounting Cash-Basis Accounting ► Revenues are recognized only when cash is received. ► Expenses are recognized only when cash is paid. ► Prohibited under generally accepted accounting principles (GAAP). 4-13 SO 2 Differentiate between the cash basis and the accrual basis of accounting. Timing Issues Illustration: Suppose that Fresh Colors paints a large building in 2011. In 2011, it incurs and pays total expenses (salaries and paint costs) of $50,000. It bills the customer $80,000, but does not receive payment until 2012. Illustration 4-2 (Partial) 4-14 SO 2 Differentiate between the cash basis and the accrual basis of accounting. Timing Issues Review Question Which one of these statements about the accrual basis of accounting is false? a. Companies record events that change their financial statements in the period in which events occur, even if cash was not exchanged. b. Companies recognize revenue in the period in which it is earned. c. This basis is in accord with generally accepted accounting principles. d. Companies record revenue only when they receive cash, and record expense only when they pay out cash. 4-15 SO 2 Differentiate between the cash basis and the accrual basis of accounting. 4-16 The Basics of Adjusting Entries Adjusting entries make it possible to report correct amounts on the balance sheet and on the income statement. A company must make adjusting entries every time it prepares financial statements. Includes one income statement account and one balance sheet account. 4-17 SO 3 Explain why adjusting entries are needed, and identify the major types of adjusting entries The Basics of Adjusting Entries Revenues - recorded in the period in which they are earned. Expenses - recognized in the period in which they are incurred. Adjusting entries - needed to ensure that the revenue recognition and expense recognition principles are followed. 4-18 SO 3 Explain why adjusting entries are needed, and identify the major types of adjusting entries The Basics of Adjusting Entries Review Question Adjusting entries are made to ensure that: a. expenses are recognized in the period in which they are incurred. b. revenues are recorded in the period in which they are earned. c. balance sheet and income statement accounts have correct balances at the end of an accounting period. d. All of the above. 4-19 SO 3 Explain why adjusting entries are needed, and identify the major types of adjusting entries Types of Adjusting Entries Illustration 4-3 Categories of adjusting entries Deferrals: 1. Prepaid expenses: Expenses paid in cash and recorded as assets before they are used or consumed. 2. Unearned revenues: Cash received and reported as liabilities before revenue is earned. Accruals: 1. Accrued revenues: Revenues earned but not yet received in cash or recorded. 2. Accrued expenses: Expenses incurred but not yet paid in cash or recorded. 4-20 SO 3 Explain why adjusting entries are needed, and identify the major types of adjusting entries Types of Adjusting Entries Trial Balance – Each account is analyzed to determine whether it is complete and upto-date. Illustration 4-4 4-21 SO 3 Explain why adjusting entries are needed, and identify the major types of adjusting entries Adjusting Entries for Deferrals Deferrals are either: Prepaid expenses OR Unearned revenues. 4-22 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Payment of cash, that is recorded as an asset because service or benefit will be received in the future. Cash Payment BEFORE Expense Recorded Prepayments often occur in regard to: insurance supplies advertising 4-23 rent equipment buildings SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Prepaid Expenses Costs that expire either with the passage of time or through use. Adjusting entry results in an increase (a debit) to an expense account and a decrease (a credit) to an asset account. 4-24 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Adjusting entries for prepaid expenses Illustration 4-5 Increases (debits) an expense account and Decreases (credits) an asset account. 4-25 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Illustration: Sierra Corporation purchased supplies costing $2,500 on October 5. Sierra recorded the purchase by increasing (debiting) the asset Supplies. This account shows a balance of $2,500 in the October 31 trial balance. An inventory count at the close of business on October 31 reveals that $1,000 of supplies are still on hand. Oct. 31 Supplies Expense Supplies 1,500 1,500 ($2,500 – 1,000 = $1,500) Illustration 4-6 (Partial) 4-26 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Illustration: On October, 4 Sierra Corporation paid $600 for a oneyear fire insurance policy. Coverage began on October 1. Sierra recorded the payment by increasing (debiting) Prepaid Insurance. This account shows a balance of $600 in the October 31 trial balance. Insurance of $50 ($600 ÷ 12) expires each month. Oct. 31 Insurance Expense 50 Prepaid Insurance 50 Illustration 4-7 (Partial) 4-27 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Depreciation Buildings, equipment, and motor vehicles (long-lived assets) are recorded as assets, rather than an expense, in the year acquired. Companies report a portion of the cost of a long-lived asset as an expense (depreciation) during each period of the asset’s useful life. Depreciation does not attempt to report the actual change in the value of the asset. 4-28 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Illustration: For Sierra Corporation, assume that depreciation on the office equipment is $480 a year, or $40 per month. Oct. 31 Depreciation Expense 40 Accumulated Depreciation-Equipment 40 Illustration 4-8 (Partial) 4-29 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Statement Presentation Accumulated Depreciation-Equipment is a contra asset account. Appears just after the account it offsets (Equipment) on the balance sheet. 4-30 Illustration 4-9 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Prepaid Expenses” Summary Illustration 4-10 4-31 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Unearned Revenues” Receipt of cash that is recorded as a liability because the revenue has not been earned. Cash Receipt BEFORE Revenue Recorded Unearned revenues often occur in regard to: 4-32 rent magazine subscriptions airline tickets customer deposits SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Unearned Revenues” Unearned Revenues Adjusting entry to record the revenue that has been earned and to show the liability that remains. Adjusting entry results in a decrease (a debit) to a liability account and an increase (a credit) to a revenue account. 4-33 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Unearned Revenues” Adjusting entries for unearned revenues Illustration 4-11 Decrease (a debit) to a liability account and Increase (a credit) to a revenue account. 4-34 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Unearned Revenues” Illustration: Sierra Corporation received $1,200 on October 2 from R. Knox for guide services for multi-day trips expected to be completed by December 31. Unearned Service Revenue shows a balance of $1,200 in the October 31 trial balance. From an evaluation of the service Sierra performed for Knox during October, the company determines that it has earned $400 in October. Oct. 31 Unearned Service Revenue Service Revenue 400 400 Illustration 4-12 (Partial) 4-35 SO 4 Prepare adjusting entries for deferrals. Adjusting Entries for “Unearned Revenues” Summary Illustration 4-13 4-36 SO 4 Prepare adjusting entries for deferrals. 4-37 Adjusting Entries for Accruals Made to record: Revenues earned and OR Expenses incurred in the current accounting period that have not been recognized through daily entries. 4-38 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Revenues” Revenues earned but not yet received in cash or recorded. Adjusting entry results in: Revenue Recorded BEFORE Cash Receipt Accrued revenues often occur in regard to: rent interest services performed 4-39 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Revenues” Accrued Revenues An adjusting entry serves two purposes: (1) Shows the receivable that exists, and (2) Records the revenues earned. 4-40 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Revenues” Adjusting entries for accrued revenues Illustration 4-14 Increases (debits) an asset account and Increases (credits) a revenue account. 4-41 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Revenues” Illustration: In October, Sierra Corporation earned $200 for guide services that were not billed to clients before October 31. Oct. 31 Accounts Receivable Service Revenue 200 200 Illustration 4-15 4-42 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Revenues” Summary Illustration 4-16 4-43 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Expenses incurred but not yet paid in cash or recorded. Adjusting entry results in: Expense Recorded BEFORE Cash Payment Accrued expenses often occur in regard to: 4-44 rent taxes interest salaries SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Accrued Expenses An adjusting entry serves two purposes: (1) Records the obligations, and (2) Recognizes the expenses. 4-45 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Adjusting entries for accrued expenses Illustration 4-17 Increases (debits) an expense account and Increases (credits) a liability account. 4-46 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Illustration: Sierra Corporation signed a three-month note payable in the amount of $5,000 on October 1. The note requires Sierra to pay interest at an annual rate of 12%. Illustration 4-18 Oct. 31 Interest Expense 50 Interest Payable 50 Illustration 4-19 (Partial) 4-47 SO 5 Prepare adjusting entries for accruals. 4-48 Adjusting Entries for “Accrued Expenses” Illustration: Sierra Corporation last paid salaries on October 26; the next payment of salaries will not occur until November 9. The employees receive total salaries of $2,000 for a five-day work week, or $400 per day. Thus, accrued salaries at October 31 are $1,200 ($400 × 3 days). Illustration 4-20 4-49 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Illustration: Sierra Corporation last paid salaries on October 26; the next payment of salaries will not occur until November 9. The employees receive total salaries of $2,000 for a five-day work week, or $400 per day. Thus, accrued salaries at October 31 are $1,200 ($400 x 3 days). Oct. 31 Salaries Expense 1,200 Salaries Payable 1,200 Illustration 4-21 4-50 SO 5 Prepare adjusting entries for accruals. Adjusting Entries for “Accrued Expenses” Summary Illustration 4-22 4-51 SO 5 Prepare adjusting entries for accruals. Summary of Basic Relationships 4-52 SO 5 Prepare adjusting entries for accruals. The Adjusted Trial Balance After all adjusting entries are journalized and posted the company prepares another trial balance from the ledger accounts (Adjusted Trial Balance). The adjusted trial balance’s purpose is to prove the equality of debit balances and credit balances in the ledger. The adjusted trial balance is the primary basis for the preparation of the financial statements. 4-53 SO 6 Describe the nature and purpose of the adjusted trial balance. The Adjusted Trial Balance 4-54 SO 6 The Adjusted Trial Balance Review Question Which of the following statements is incorrect concerning the adjusted trial balance? a. An adjusted trial balance proves the equality of the total debit balances and the total credit balances in the ledger after all adjustments are made. b. The adjusted trial balance provides the primary basis for the preparation of financial statements. c. The adjusted trial balance lists the account balances segregated by assets and liabilities. d. The adjusted trial balance is prepared after the adjusting entries have been journalized and posted. 4-55 SO 6 Describe the nature and purpose of the adjusted trial balance. Preparing Financial Statements Financial statements are prepared directly from the Adjusted Trial Balance. Income Statement 4-56 Retained Earnings Statement Balance Sheet SO 6 Describe the nature and purpose of the adjusted trial balance. Preparing Financial Statements Illustration 4-27 4-57 Preparing Financial Statements 4-58 Illustration 4-28 Closing the Books At the end of the accounting period, companies transfer the temporary account balances to the permanent stockholders’ equity account—Retained Earnings. Illustration 4-29 4-59 SO 7 Explain the purpose of closing entries. Closing the Books In addition to updating Retained Earnings to its correct ending balance, closing entries produce a zero balance in each temporary account. Illustration 4-30 4-60 SO 7 Explain the purpose of closing entries. Closing the Books 2012 Illustration 4-31 4-61 Closing the Books 4-62 SO 7 Explain the purpose of closing entries. Preparing a Post-Closing Trial Balance The purpose of the post-closing trial balance is to prove the equality of the permanent account balances that the company carries forward into the next accounting period. All temporary accounts will have zero balances. 4-63 SO 7 Explain the purpose of closing entries. Summary of the Accounting Cycle 1. Analyze business transactions 4-64 Illustration 4-33 Required steps in the accounting cycle 9. Prepare a post-closing trial balance 2. Journalize the transactions 8. Journalize and post closing entries 3. Post to ledger accounts 7. Prepare financial statements 4. Prepare a trial balance 6. Prepare an adjusted trial balance 5. Journalize and post adjusting entries: Deferrals/Accruals SO 8 Describe the required steps in the accounting cycle. Quality of Earnings Quality of Earnings – company provides full and transparent information. Earnings Management - the planned timing of revenues, expenses, gains, and losses to smooth out bumps in net income. Companies may manage earnings by: one-time items to prop up earnings numbers. inflate revenue numbers in the short-run. improper adjusting entries. As a result of the Sarbanes-Oxley Act, many companies are trying to improve the quality of their financial reporting. 4-65 SO 8 Describe the required steps in the accounting cycle. Keep an Eye on Cash Sierra Corporation’s income statement shows net income of $2,860. Net income and net cash provided by operating activities often differ. Net income on a cash basis is referred to as “Net cash provided by operating activities.” The statement of cash flows, reports net cash provided by operating activities. Illustration 4-27 4-66 SO 9 Understand the causes of differences between net income and cash provided by operating activities. Keep an Eye on Cash The difference for Sierra is $2,840 ($5,700 - $2,860). The following summary shows the causes of this difference. 4-67 SO 9 Adjusting Entries in an Automated World— Using a Worksheet (Appendix) Trial Balance – Each account is analyzed to determine whether it is complete and upto-date. Illustration 4-4 4-68 SO 10 Adjusting Entries in an Automated World— Using a Worksheet (Appendix) 4-69 SO 10 Describe the purpose and the basic form of a worksheet. 1. Prepare a Trial Balance on the Worksheet Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Trial Balance Dr. Cr. 15,200 2,500 600 5,000 5,000 2,500 1,200 10,000 500 10,000 Salaries Expense Rent Totals 4,000 900 28,700 Adjustments Dr. Cr. Adjusted Trial Balance Dr. Cr. Income Statement Dr. Cr. Balance Sheet Dr. Cr. 28,700 Trial balance amounts come directly from ledger accounts. Include all accounts with balances. 4-70 SO 10 Describe the purpose and the basic form of a worksheet. Using a Worksheet Illustration 4-24 General journal showing adjusting entries Adjusting Journal Entries 4-71 2012 2. Enter the Adjustments in Adjustments Columns Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Salaries Expense Rent Totals Supplies Expense Insurance Expense Accumulated DepreciationEquipment Depreciation Expense Interest Expense Accounts Receivable Interest Payable Salaries Payable Totals Net income Add Totals 4-72 Trial Balance Adjustments Dr. Cr. Dr. Cr. 15,200 (a) 1,500 2,500 (b) 600 50 5,000 5,000 2,500 1,200 (d) 400 10,000 500 10,000 (d) 400 (e) 200 (g) 1,200 4,000 900 28,700 28,700 (a) 1,500 (b) 50 (c) 40 (c) 40 (f) 50 (e) 200 Adjusted Trial Balance Dr. Cr. Income Statement Dr. Cr. Balance Sheet Dr. Cr. Adjustments Key: (a) Supplies Used. (b) Insurance Expired. (c) Depreciation Expensed. (d) Service Revenue Earned. (e) Service Revenue Accrued. (f) Interest Accrued. (g) Salaries Accrued. Enter adjustment amounts, total adjustments columns, and check for equality. (f) 50 (g) 1,200 3,440 3,440 additional accounts as needed. SO 10 3. Complete the Adjusted Trial Balance Columns Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Salaries Expense Rent Totals Supplies Expense Insurance Expense Accumulated DepreciationEquipment Depreciation Expense Interest Expense Accounts Receivable Interest Payable Salaries Payable Totals Net income Total Totals 4-73 Trial Balance Adjustments Dr. Cr. Dr. Cr. 15,200 (a) 1,500 2,500 (b) 600 50 5,000 5,000 2,500 1,200 (d) 400 10,000 500 10,000 (d) 400 (e) 200 (g) 1,200 4,000 900 28,700 28,700 (a) 1,500 (b) 50 (c) Adjusted Trial Balance Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 (f) 50 (g) 1,200 3,440 3,440 the adjusted trial balance columns and check for equality. Balance Sheet Dr. Cr. 500 10,600 5,200 900 1,500 50 40 (c) 40 (f) 50 (e) 200 Income Statement Dr. Cr. 40 40 50 200 30,190 50 1,200 30,190 SO 10 4. Extend Amounts to Financial Statement Columns Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Salaries Expense Rent Totals Supplies Expense Insurance Expense Accumulated DepreciationEquipment Depreciation Expense Interest Expense Accounts Receivable Interest Payable Salaries Payable Totals Net income Extend Totals 4-74 Trial Balance Adjustments Dr. Cr. Dr. Cr. 15,200 (a) 1,500 2,500 (b) 50 600 5,000 5,000 2,500 1,200 (d) 400 10,000 500 10,000 (d) 400 (e) 200 (g) 1,200 4,000 900 28,700 28,700 (a) 1,500 (b) 50 (c) (c) (f) (e) Adjusted Trial Balance Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 10,600 5,200 900 1,500 50 1,500 50 40 40 50 200 3,440 10,600 5,200 900 (f) 50 (g) 1,200 3,440 Balance Sheet Dr. Cr. 500 40 40 50 200 Income Statement Dr. Cr. 30,190 all revenue and expense account balances to the income statement columns. 40 50 50 1,200 30,190 7,740 10,600 SO 10 4. Extend Amounts to Financial Statement Columns Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Salaries Expense Rent Totals Supplies Expense Insurance Expense Accumulated DepreciationEquipment Depreciation Expense Interest Expense Accounts Receivable Interest Payable Salaries Payable Totals Net income Extend Totals 4-75 Trial Balance Adjustments Dr. Cr. Dr. Cr. 15,200 (a) 1,500 2,500 (b) 600 50 5,000 5,000 2,500 1,200 (d) 400 10,000 500 10,000 (d) 400 (e) 200 (g) 1,200 4,000 900 28,700 28,700 (a) 1,500 (b) 50 (c) (c) (f) (e) Adjusted Trial Balance Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 500 (f) 50 (g) 1,200 3,440 3,440 Balance Sheet Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 500 10,600 10,600 5,200 900 5,200 900 1,500 50 1,500 50 40 40 50 200 Income Statement Dr. Cr. 40 40 50 200 30,190 all asset, liability, and equity account balances to the balance sheet columns. 40 40 50 200 50 1,200 30,190 7,740 10,600 22,450 50 1,200 19,590 SO 10 5. Total Columns, Compute Net Income (Loss) Account Titles Cash Supplies Prepaid Insurance Equipment Notes Payable Accounts Payable Unearned Service Revenue Common Stock Retained Earnings Dividends Service Revenue Salaries Expense Rent Totals Supplies Expense Insurance Expense Accumulated DepreciationEquipment Depreciation Expense Interest Expense Accounts Receivable Interest Payable Salaries Payable Totals Net income Totals 4-76 Trial Balance Adjustments Dr. Cr. Dr. Cr. 15,200 (a) 1,500 2,500 (b) 600 50 5,000 5,000 2,500 1,200 (d) 400 10,000 500 10,000 (d) 400 (e) 200 (g) 1,200 4,000 900 28,700 28,700 (a) 1,500 (b) 50 (c) (c) (f) (e) Adjusted Trial Balance Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 500 (f) 50 (g) 1,200 3,440 3,440 Balance Sheet Dr. Cr. 15,200 1,000 550 5,000 5,000 2,500 800 10,000 500 10,600 10,600 5,200 900 5,200 900 1,500 50 1,500 50 40 40 50 200 Income Statement Dr. Cr. 40 40 50 200 30,190 Compute Net Income or Net Loss. 40 40 50 200 50 1,200 30,190 7,740 2,860 10,600 10,600 22,450 10,600 22,450 50 1,200 19,590 2,860 22,450 SO 10 Copyright “Copyright © 2011 John Wiley & Sons, Inc. All rights reserved. Reproduction or translation of this work beyond that permitted in Section 117 of the 1976 United States Copyright Act without the express written permission of the copyright owner is unlawful. Request for further information should be addressed to the Permissions Department, John Wiley & Sons, Inc. The purchaser may make back-up copies for his/her own use only and not for distribution or resale. The Publisher assumes no responsibility for errors, omissions, or damages, caused by the use of these programs or from the use of the information contained herein.” 4-77