The Role of Accounting in Business Reference: Textbook Chapter 1 (Warren) BUSA 601: Fundamentals of Accounting and Finance Jason W. Stanfield, PhD, CPA Adapted from Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. Learning Objectives • Describe the types and forms of businesses, how businesses make money, • • • • • and business stakeholders Describe the three business activities of financing, investing, and operating Define accounting and describe its role in business Describe and illustrate the basic financial statements and how they are integrated Describe eight accounting concepts underlying financial reporting Describe types of metrics and analyze a company’s performance using return on assets Learning Objective 1 • Describe the types and forms of businesses, how businesses make money, and business stakeholders Types of Businesses Service business • Provides services rather than products to customers Merchandising business • Sells products purchased from other businesses to customers Manufacturing business • Changes basic inputs into products that are sold to customers Forms of Business Proprietorship Partnership Corporation Limited liability company (LLC) Characteristics of Different Forms of Business How Do Businesses Make Money? • Businesses earn a profit by providing goods and services to customers • Strategies used by businesses to gain an advantage over their competitors • Low-cost strategy • Premium-price strategy Exhibit 1: Business Strategies and Industries Exhibit 2: Business Stakeholders Learning Objective 2 • Describe the three business activities of financing, investing, and operating Exhibit 4: Business Activities Financing Activities: Forms of Liability • Account payable: Liability when a company borrows from a vendor or supplier • Bonds payable: Any bond obligations • Any interest due is reported as interest payable • Note payable: Payment of the amount borrowed plus interest • Issued on a short-term or long-term basis • Shares of ownership issued in the form of shares of stock • Include common stock Investing Activities: Types of Assets • Tangible assets • Assets that have physical characteristics • Intangible assets • Include assets such as patents, goodwill, and copyrights • Prepaid expenses are considered as assets until consumed • Accounts receivable include rights to payments from customers who purchase merchandise or services on credit Operating Activities: Revenues and Expenses • Sources of revenue • Sales • Fees earned • Expenses • Cost of goods sold, cost of merchandise sold, or cost of sales • Selling expenses • Administrative expenses Learning Objective 3 • Define accounting and describe its role in business Accounting • Information system that provides reports to stakeholders about the economic activities and condition of a business • Summarizes the financial performance of a business for external stakeholders Branches of Accounting Financial accounting • Associated with preparing reports for users external to a business Managerial accounting • Used to guide management in making financing, investing, and operations decisions for a company Objectives of Financial Accounting • To report the financial condition of a business at a point in time • To report changes in the financial condition of a business over a period of time Exhibit 5: Objectives of Financial Accounting Learning Objective 4 • Describe and illustrate the basic financial statements and how they are integrated Financial Statements Exhibit 6: Income Statement—The Hershey Company • Summary of revenue and expenses for a specific period of time (month, quarter, or year) • Reports the change in financial condition due to the operations of the company Exhibit 7: Statement of Stockholders’ Equity • Reports the changes in financial condition due to changes in stockholders’ equity for a period Exhibit 8 - Balance Sheet Balance Sheet: Preparation • Step 1 • Each asset is listed and added to arrive at total assets • Step 2 • Each liability is listed and added to arrive at total • Step 3 • Step 4 • Step 5 liabilities • Each stockholders’ equity item is listed and added to arrive at total stockholders’ equity • Total liabilities and total stockholders’ equity are added to get total liabilities and stockholders’ equity •Total assets must equal total liabilities and stockholders’ equity Exhibit 9: Statement of Cash Flows Statement of Cash Flows • Reports the change in financial condition due to the changes in cash during a period • Net cash flows from operating activities • Primary focus of a company’s stakeholders • Concerns the employees, managers, suppliers, customers, and other stakeholders interested in the long-term success of the company • Net cash flows from investing activities • Includes cash receipts from selling property, plant, and equipment • Cash used to purchase property, plant, and equipment is reported as cash payments Statement of Cash Flows • Net cash flows from financing activities • Includes any cash receipts from issuing debt or stock • Reports any cash payments of debt and dividends Order of Preparing Financial Statements • 1. Income statement • 2. Statement of changes in stockholders’ equity • 3. Balance sheet • 4. Statement of cash flows Exhibit 10: Integrated Financial Statements Integrated Financial Statements • Integrations help analyze: • Financial statements • Impact of transactions on the financial statements Learning Objective 5 • Describe eight accounting concepts underlying financial reporting Generally Accepted Accounting Principles (GAAP) • Accounting rules • Institutions that develop and regulate accounting principles and concepts • Financial Accounting Standards Board (FASB) • Securities and Exchange Commission (SEC) • International Accounting Standards Board (IASB) Accounting Concepts: Basis of GAAP • Business entity: Company is viewed as an entity separate from its owners, creditors, or other companies • Cost: Assets in the accounting records should be initially recorded at their cost or purchase price • Going concern: Assumption that a company will continue in business indefinitely Accounting Concepts: Basis of GAAP • Matching: Expenses are matched against the revenues they generate • Based on revenue recognition and expense recognition principles • Objectivity: Entries in the accounting records and the data reported on financial statements should be based on verifiable or objective evidence • Unit of measure: All economic data are to be recorded in dollars Accounting Concepts: Basis of GAAP • Adequate disclosure: The financial statements, including related notes, contain all relevant data a stakeholder needs to understand the financial condition and performance of the company • Accounting period: Accounting data should be recorded and summarized in financial statements for periods of time Exhibit 13: Accounting Frauds Company Concept Violated Result Adelphia Business Entity Concept: Rigas family treated the company assets as their own. Bankruptcy. Rigas family members convicted of fraud and lost their investment in the company. AIG Business Entity Concept: Compensation CEO (Chief Executive Officer) transactions with an offshore company resigned. AIG paid out $126 million in that should have been disclosed on fines. AIG’s books. AOL and Matching Concept: Back-dated contracts Civil charges filed against senior PurchasePr to inflate revenues. executives of both companies. Fined o $500 million. Computer Associates Matching Concept: Fraudulently inflating CEO and senior executives indicted. revenues. Five executives pled guilty. Fined $225 million. Exhibit 13: Accounting Frauds Company Concept Violated Result Enron Business Entity Concept: Treated transactions as revenue, when they should have been treated as debt. Bankruptcy. Criminal charges against senior executives. Over $60 billion in stock market losses. Fannie Mae Accounting Period Concept: Managing earnings by shifting expenses between periods. CEO and CFO fired. $9 billion in restated earnings. HealthSout h Matching Concept: $4 billion in false entries to overstate revenues. Senior executives faced regulatory and civil charges. Quest Matching Concept: Improper recognition of $3 billion in revenue. CEO and six other executives charged with “massive financial fraud.” Fined $250 million by SEC. Exhibit 13: Accounting Frauds Company Concept Violated Result Tyco Adequate Disclosure Concept: Failure to CEO forced to resign and was disclose secret loans to executives that convicted in were subsequently forgiven. criminal proceedings. WorldCom Matching Concept: Improperly treated expenses as assets. Bankruptcy. Criminal conviction of CEO and CFO. Over $100 billion in stock market losses. Directors fined $18 million. Xerox Matching Concept: Recognized $3 billion in revenue in periods earlier than should have been recognized. Fined $10 million by SEC. Six executives fined $22 million. Factors That Promote Accounting Frauds Failure of individual character • Managers and accountants perform ethical violations to avoid pressures from supervisors Culture of greed and ethical indifference • Senior managers create a culture of greed and indifference to the truth Guidelines for Ethical Conduct • • • • Identify an ethical decision by using your personal ethical standards of honesty and fairness Identify the consequences of the decision and its effect on others Consider your obligations and responsibilities to those that will be affected by your decision Make a decision that is ethical and fair to those affected by it Learning Objective 6 • Describe types of metrics and analyze a company’s performance using return on assets Metrics • Any quantitative measures • Types: Ratios and amounts • Metric-based analysis: Use of metrics to assess financial condition, performance, and decisions • Level of application • Financial statement level • Transaction level • Managerial decision level Return on Assets • Measure of a company’s profitability • Used to compare a company’s performance over time and with its competitors • Expressed as a percentage or as an amount per dollar invested • Example: 12% rate of return on assets could also be expressed as $0.12 return per $1 invested Rate of Return on Assets • Apple Inc. is approximately 1.7 (13.9% ÷ 8.2%) times more profitable as measured by return on assets than is HP Inc. Basic Accounting Systems: Cash Basis Reference: Textbook Chapter 2 (Warren) BUSA 601: Fundamentals of Accounting and Finance Jason W. Stanfield, PhD, CPA Adapted from Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Elements of a Financial Accounting System • Rules • Framewor k • Controls Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Rules of an Accounting System • Derived from accounting concepts, which are the basis of generally accepted accounting principles (GAAP) • Transaction: Economic event that under GAAP affects the financial statements Framework of an Accounting System • Transactions must be analyzed, recorded, and summarized using a framework • Accounting equation • Basis for frameworks • Expressed as follows: • Assets = Liabilities + Stockholders’ Equity Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 1: Integrated Financial Statement Framework Controls of an Accounting System • Include the following points: • Accounting equation must balance • Ending cash on the statement of cash flows must equal the cash on the balance sheet • Net income on the income statement must equal the net effects of revenues and expenses on retained earnings Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Transaction (a): Investment to Establish Business • Dr. Landry deposits $6,000 in a bank account in the name of Family Health Care, P.C., in return for shares of common stock in the corporation Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction (b): Borrowing Money to Finance Operations • Family Health Care, P.C., borrows $10,000 from First National Bank to finance its operations Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction (c): Buying Land for Cash • Family Health Care buys land for $12,000 cash Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction (d): Fees Earned in Cash • During the first month of operations, Family Health Care earned patient fees of $5,500, receiving the fees in cash Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction (e): Expenses Paid in Cash • Family Health Care paid expenses of $2,900 in September Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction (f): Dividends Paid • Family Health Care paid $1,500 to stockholders (Dr. Lee Landry) as dividends Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 2: Family Health Care Summary of Transactions for September Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Recording a Corporation’s First Period of Operations: Review • Balance Sheet column reflects the accounting equation • Two sides of the accounting equation are always equal • Every transaction increases or decreases one or more of the balance sheet elements • A transaction may or may not affect an element of the statement of cash flows or the income statement • Every cash transaction increases or decreases the asset (cash) on the balance sheet Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Recording a Corporation’s First Period of Operations: Review (continued) • Ending balance of cash under the Statement of Cash Flows column equals the ending cash balance shown on the balance sheet • Change in retained earnings for the period is the net income minus dividends • Statement of cash flows is linked to the balance sheet through cash • Income statement is linked to the balance sheet through revenues and expenses (net income or loss), which affects retained earnings Exhibit 3: Effects of Transactions on Stockholders’ Equity Transaction Metric Effects: September Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Exhibit 4: Family Health Care Financial Statements for September Exhibit 4: Family Health Care Financial Statements for September (continued 1) Exhibit 4: Family Health Care Financial Statements for September (continued 2) Exhibit 4: Family Health Care Financial Statements for September (continued 3) Exhibit 5: Family Health Care Integrated Financial Statements for September Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Family Health Care: Transactions in October • Received cash fees of $6,400 • Paid expenses • Wages: $1,370 • Rent: $950 • Utilities: $540 • Interest: $100 • Miscellaneous: $220 • Paid cash dividends of $1,000 Exhibit 6: Family Health Care Summary of October Transactions Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction Metric Effects: October Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Exhibit 7: Family Health Care Financial Statements for October Exhibit 7: Family Health Care Financial Statements for October (continued 1) Exhibit 7: Family Health Care Financial Statements for October (continued 2) Exhibit 7: Family Health Care Financial Statements for October (continued 3) Exhibit 8: Family Health Care Integrated Financial Statements for October Learning Objectives • Describe the basic elements of a financial accounting system • Analyze, record, and summarize transactions for a corporation’s first period • • • • of operations Prepare financial statements for a corporation’s first period of operations Analyze, record, and summarize transactions for a corporation’s second period of operations Prepare financial statements for a corporation’s second period of operations Describe and illustrate the use of common-sized income statements in assessing a company’s performance Common-Sized Financial Statements • Express financial statement amounts as a percent of a base amount • Common-sized income statement: Expresses income statement amounts as a percent of sales • Common-sized balance sheet: Expresses each asset as a percent of total assets Operating Data of The Kroger Co. Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Common-Sized Income Statement of The Kroger Co. Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Basic Accounting Systems: Accrual Basis Reference: Textbook Chapter 3 (Warren) BUSA 601: Fundamentals of Accounting and Finance Jason W. Stanfield, PhD, CPA Adapted from Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Accrual Basis of Accounting • Records revenue as it is earned and matches expenses against the revenue they generate • Helps avoid misleading information arising from the timing of cash receipts and payments • Revenue is recognized when services are provided even though the cash is to be received later • Liabilities are recognized when a business incurs the obligation to pay for services or goods purchased Revenue and Expense Recognition Principle • Revenue recognition principle: Revenue is recorded when services have been provided or when a product has been delivered to a customer • Expense recognition principle: Expenses are recorded in the same period that they generate revenue • Required by the matching concept Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Family Health Care’s November Transactions • Integrated financial statement framework is used to analyze and record transactions • Accounts: Financial statement elements • Quick assets: Include cash and other assets that can be readily converted to cash such as receivables and marketable securities • Normally do not include inventory since inventory must be sold and any related receivable collected before it is converted to cash Transaction a: Rent Received in Advance • On November 1, Family Health Care, P.C., received $1,800 from ILS Company as rent for the use of Family Health Care’s land as a temporary parking lot from November 20Y5 through March 20Y6 Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction b: Prepaid Insurance • On November 1, Family Health Care, P.C., paid a premium of $2,400 for a twoyear general business insurance policy that covers risks from fire and theft Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction c: Insurance Premium • On November 1, Family Health Care, P.C., paid $6,000 for an insurance premium on a six-month medical malpractice policy Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction d: Additional Capital Investment • Dr. Landry invested an additional $5,000 in the business in exchange for common stock Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction e: Purchases on Account • Family Health Care, P.C., purchased supplies for $240 on account Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction f: Purchase of Equipment • Family Health Care, P.C., purchased $8,500 of office equipment • Paid $1,700 cash as a down payment, with the remaining $6,800 due in five monthly installments of $1,360 beginning January 1, 20Y6 Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction g: Services Provided on Account • Family Health Care, P.C., provided services of $6,100 to patients on account Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction h: Services Provided for Cash • Family Health Care, P.C., received $5,500 for services provided to patients who paid cash Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction i: Collection of Accounts Receivable • Family Health Care, P.C., received $4,200 from insurance companies that paid on patients’ accounts for services that had been provided Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction j: Accounts Payable • Family Health Care, P.C., paid $100 on account for supplies that had been purchased Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction k: Expenses Paid in Cash • Family Health Care, P.C., paid expenses worth $4,690 for the month of November in cash Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Transaction l: Dividends Paid in Cash • Family Health Care, P.C., paid dividends of $1,200 to stockholders (Dr. Landry) Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Adjustment Process • Process of updating accounting records prior to preparing financial statements • Accrual accounting requires updating to match revenues and expenses • Adjustments are necessary to update elements of the accounting equation Exhibit 1: Deferrals and Accruals Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Deferrals and Accruals • Deferrals • Prepaid or deferred expenses • Unearned or deferred revenues • Accruals • Accrued expenses or liabilities • Accrued revenues or assets Adjustment a1: Prepaid Insurance Expired • Portion of the prepaid insurance purchased on November 1 expired Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Adjustment a2: Supplies Used • As of November 30, supplies worth $150 were used in operations, leaving a balance of $90 Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Depreciation • Reduction in the ability of a fixed asset to provide service over time • Estimated based on the asset’s useful life • Accumulated depreciation • A contra asset account • Added to the Balance Sheet column to maintain a record of the original cost of a fixed asset for tax and other purposes Adjustment a3: Depreciation • Depreciation on office equipment for Family Health Care is assumed to be $160 per month Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Depreciation: Important Points • Land is not depreciated, because it usually does not lose its ability to provide service • The cost of the equipment is a type of deferred expense that is recognized as an expense over the fixed asset’s useful life • The cost of the fixed asset less the balance of its accumulated depreciation is called the asset’s book value, or carrying value Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Adjustment a4: Unearned Revenue Earned • Adjustment assumes that of the $1,800 received for rental of the land for five months (November through March), one-fifth, or $360, would have been earned as of November 30 Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Adjustment a5: Wages Owed • Amount owed as wages but not paid to employees is $220 Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Adjustment a6: Services Provided • Family Health Care provided services worth $750 to patients • Services were not billed at the end of the month Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 3: Transaction Metric Effects—November Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 3: Transaction Metric Effects—November (continued) Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Exhibit 4: Family Health Care Income Statement for November Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 5: Family Health Care Statement of Stockholders’ Equity for November Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Classified Balance Sheets: Types of Assets and Liabilities • Types of assets • Current assets, fixed assets, and intangible assets • Types of liabilities • Current liabilities and long-term liabilities Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 6: Family Health Care Balance Sheet for November Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 6: Family Health Care Balance Sheet for November (continued) Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 7: Family Health Care Statement of Cash Flows Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Exhibit 8: Integrated Financial Statements—Family Health Care Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Exhibit 9: Cash versus Accrual Accounting Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Differences between Accrual and Cash Basis Financial Statements Accrual basis of accounting • Net income and net cash flows from operating activities may be significantly different Cash basis of accounting • Net income and net cash flows from operating activities are equal Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Need for Accrual Basis by GAAP • Accrual accounting is generally a better predictor of the profitability of a company • Use of net cash flows from operating activities • Generally accepted accounting principles (GAAP) require reporting net cash flows from operating activities as well as net income • Business is required to generate positive cash flows from operating activities in the long term in order to survive • Long-run profitability is best analyzed using accrual accounting and net income Accounting Cycle • Process that begins with analyzing transactions and ends with preparing financial statements • Varies based on the type of accounting for which it is used • Cash basis of accounting • Accrual basis of accounting • More complex for a double-entry accounting system • Double-entry system: Transactions are recorded in separate accounts using rules of debit and credit Learning Objectives • Describe accrual accounting concepts, including the matching concept, • • • • • revenue recognition, and expense recognition principles Use the accrual basis of accounting to analyze, record, and summarize transactions Describe and illustrate the end-of-period adjustment process Prepare financial statements using the accrual basis of accounting, including a classified balance sheet Describe why generally accepted accounting principles (GAAP) require the accrual basis of accounting Describe and illustrate the use of the quick ratio in assessing a company’s liquidity Metric-Based Analysis • Quick assets • Liquidity metric that measures the amount of cash and other assets that a company has on hand to pay current liabilities • Quick ratio • Computed as quick assets divided by current liabilities • Quick ratio of at least 1.0 is normal for any industry Computation of Quick Assets and Quick Ratio Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Computation of Quick Assets and Quick Ratio (continued) Warren, Survey of Accounting, Ninth Edition. © 2021 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. cc 4 TIME VALUE OF MONEY Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. LEARNING OUTCOMES 1. Identify various types of cash flow patterns (streams) seen in business. 2. Compute the future value of different cash flow streams. Explain the results. 3. Compute the present value of different cash flow streams. Explain the results. 4. Compute (a) the return (interest rate) on an investment (loan) and (b) how long it takes to reach a financial goal. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 2 LEARNING OUTCOMES (continued) 5. Explain the difference between the Annual Percentage Rate (APR) and the Effective Annual Rate (EAR). Explain when it is appropriate to use each. 6. Describe an amortized loan. Compute (a) amortized loan payments and (b) the amount that must be paid on an amortized loan at a specific date during the life of the loan. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 3 Time Value of Money (TVM) • The principles and computations used to revalue cash payoffs from different times so they are stated in dollars of the same time period. • Dollar amounts from different time periods should never be compared; rather, amounts should be compared only when they are stated in dollars at the same point in time. • Dollars from different time periods have opportunities to earn different amounts (numbers of periods) of interest (return). Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 4 Time Value of Money (TVM) (continued 1) • At a 10 percent opportunity cost rate, which is better, receiving $700 today or receiving $935 in three years? Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 5 Time Value of Money (TVM) (continued 2) • To answer the question, we must revalue the cash payoffs so they are stated in dollars at the same time period. Year (n): 0 Cash flows: Option A: VA= $700 r = return = 10% 1 2 Translate the current $700 into an FV amount by adding interest. 3 ? = FVA3 OR Option B: PVB= ? Translate the future $935 into a PV amount by taking out interest. $935 = FVB3 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 6 Cash Flow Time Lines Graphical representations used to show timing of cash flows 0 PVA = 700.00 r = 10% 1 2 3 ? = FV3 PV = Present Value—the beginning amount that can be invested (current value of some future amount). FV = Future Value—the value to which an amount invested today will grow at the end of n periods at an opportunity cost rate equal to r. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 7 Types of Cash Flow Patterns • Lump Sum Amount—a single payment (received or made) that occurs either today or at some date in the future. • Annuity—multiple payments of the same amount over equal time periods. • Uneven Cash Flows—multiple payments of different amounts over a period of time. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 8 Future Value • Compounding—to compute the future value of an amount we push forward the current amount by adding interest for each period in which the money can earn interest in the future. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 9 Ways to Solve TVM Problems • Use a cash flow timeline • Use an equation • Use a financial calculator • Use a spreadsheet Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 10 FVn Cash Flow Timeline Solution The Future Value of $700 invested at 10% per year for three (3) years 0 PVA = 700.00 r = 10% x 1.10 1 770.00 2 x 1.10 847.00 3 x 1.10 931.70 = FV3 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 11 FVn Equation Solution The cash flow timeline solution can be written in equation form as: FV3 = $700(1.10)3 This relationship is generalized as: FVn = PV(1 + r)n = $700(1.10)3 = $700(1.33100) = $931.70 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 12 FVn Financial Calculator Solution Inputs: Outputs: 3 10 − 700 0 ? N I/Y PV PMT FV = 931.70 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 13 FVn Spreadsheet Solution—MS Excel • Set up a table that contains the data used to solve the problem. • Click fx and choose the FV function. • Click the cells containing the appropriate data to enter the data into the FV function. • Calculate the answer. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 14 FVn Spreadsheet Solution—MS Excel (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 15 Future Value of an Annuity—FVA • Annuity—a series of equal amounts paid at equal intervals. • Ordinary (deferred) Annuity—an annuity with payments that occur at the end of each period. • Annuity Due—an annuity with payments that occur at the beginning of each period. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 16 What’s the Future Value of a Three-Year Ordinary Annuity of $400 at 5%? 0 r = 5% 1 2 3 400 400 400 x (1.05)1 x (1.05)2 Value of Each Deposit at the End of Year 3 x (1.05)0 400 420 441 FVA3 = 1,261.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 17 FVAn Equation Solution Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 18 FVAn Equation Solution (continued) (105)3 − 1 FVA 3 = 400 0.05 = 400(3.1525) = 1,261.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 19 FVAn Financial Calculator Solution Inputs: Output: 3 N 5 I/Y 0 PV − 400 PMT ? FV = 1,261.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 20 FV of an Annuity Due—FVA(DUE)n Payments are made at the beginning of the year, which means each payment earns one additional year’s worth of 5 percent interest. 0 1 2 400 400 r = 5% 400 3 Value of Each Deposit at the End of Year 3 x (1.05)0 x (1.05) x (1.05)1 x (1.05) x (1.05)2 x (1.05) FVA(DUE)3 = 420.00 441.00 463.05 1,324.05 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 21 FVA(DUE)n Equation Solution Include one additional year’s worth of 5 percent interest in the computation. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 22 FVA(DUE)n Equation Solution (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 23 FVA(DUE)n Financial Calculator Solution BGN Inputs: Output: 3 N 5 I/Y 0 PV −400 PMT ? FV = 1,261.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 24 Cash Flow Streams • Payment = PMT = constant cash flows—that is, an annuity stream. • Cash flow = CF = cash flows in general, both constant cash flows (i.e., annuities) and uneven cash flows. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 25 Find the FV of an Uneven Cash Flow Stream— FVCFn 0 r = 5% 1 2 3 400 300 250 x (1.05)1 x (1.05)2 Value of Each Deposit at the End of Year 3 x (1.05)0 250.00 315.00 441.00 FVCF3 = 1,006.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 26 FVCFn Equation Solution Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 27 FVCFn Equation Solution (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 28 Present Value, PV • Present value is the value today of a future cash flow or series of cash flows. • Discounting is the process of finding the present value of a future cash flow or series of future cash flows • Finding the present value (discounting) is the reverse of finding the future value (compounding); i.e., interest is taken out of a future amount to determine its present value. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 29 PV of a Lump-Sum Amount—PV Discounting—to compute the present value of an amount we bring back to the present a future amount by taking out interest for each period in which the money can earn interest in the future. 0 PVB = 702.48 r = 10% 1 x 1.10 1 772.73 2 1 x 1.10 850.00 3 1 x 1.10 935.00=FV3 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 30 PV of a Lump-Sum Amount—Equation Solution Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 31 PV of a Lump-Sum Amount—Equation Solution (continued) What is the PV of $935 due in three (3) years if r = 10%? Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 32 PV of a Lump-Sum Amount—Financial Calculator Solution Inputs: Outputs: 3 N 10 I/Y ? PV 0 PMT 935 FV = −702.48 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 33 Present Value of an Annuity (Ordinary)—PVAn • PVAn = the present value of an annuity with n payments, each made at the end of the period. • Each payment is discounted, and the sum of the discounted payments is the present value of the annuity. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 34 PVAn Cash Flow Timeline Solution What is the PV of a three-year $400 ordinary annuity if r = 5%? Value of Each FV Amount Today (Year 0) 0 380.95 362.81 345.54 1,089.30 = PVA3 1 2 3 1 x 400 (1.05)1 400 400 r = 5% 1 x (1.05)2 1 x (1.05)3 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 35 PVAn Equation Solution Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 36 PVAn Equation Solution (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 37 PVAn Financial Calculator Solution Inputs: Outputs: 3 N 5 I/Y ? PV 400 PMT 0 FV = −1,089.30 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 38 Present Value of an Annuity Due—PVA(DUE)n Payments are made at the beginning of the year, which means one less year of 5 percent interest is taken out of each payment. PV of Each FV Amount Today (Year 0) (1.05) x 0 2 400 400 r = 5% 1 x 400 (1.05)1 (1.05) x 400.00 380.95 362.81 1,143.76 = PVA(DUE)3 1 1 x (1.05)1 (1.05) x 3 1 x (1.05)2 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 39 PVA(DUE)n Equation Solution Include one additional year’s worth of 5 percent interest. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 40 PVA(DUE)n Equation Solution (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 41 PVA(DUE)n Financial Calculator Solution BGN Inputs: Output: 3 N 5 I/Y ? PV −400 PMT 0 FV = 1,143.76 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 42 Perpetuities—PVP Streams of equal payments that are expected to go on forever; perpetual annuities Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 43 Perpetuities—PVP (continued) This example illustrates a fundamental principle in finance: Everything else equal, the higher the rate of return, the lower the value of an investment. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 44 PV of an Uneven Cash Flow Stream—PVCFn Value of Each FV Amount Today (Year 0) 0 380.95 272.11 215.96 869.02 = PVCF3 1 2 3 1 x 400 (1.05)1 300 250 r = 5% 1 x (1.05)2 1 x (1.05)3 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 45 PVCFn Equation Solution Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 46 PVCFn Equation Solution (continued) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 47 PVCFn Financial Calculator Solution • Input in “CF” register: • CF0 = 0 • CF1 = 400 • CF2 = 300 • CF3 = 250 • Enter I = 5 • Press NPV button to get NPV = -869.02. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 48 Comparison of FV with PV • FV contains interest, whereas PV does not. • At an opportunity cost rate of 10 percent: • a lump-sum payment of $700 today is the same as a lump-sum payment of $931.70 in three years. • The PV of $700 has no interest; the FV of $931.70 contains three years of interest, which equals $231.70. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 49 Comparison of FV with PV (continued) 0 1 2 3 FV1 = 770.00 FV2 = 847.00 FV3 = 931.70 r = 10% PV = 700.00 PV at Year 0 = 700 = PV at Year 0 = 700 = PV at Year 0 = 700 = PV at Year 0 = 700 Total = 70.00 Interest from: Year 1 = 70.00 Year 2 = 77.00 Interest from: Year 1 = 70.00 Interest from: < Total = 70.00 < Total = 147.00 < Interest from: Year 1 = 70.00 Year 2 = 77.00 Year 3 = 84.70 Total = 231.70 The values given under the tick marks for each year differ only because they contain different amounts of interest. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 50 Solving for Interest Rates (r) Suppose you pay $78.35 for an investment that promises to pay you $100 five years from today. What annual rate of return will you earn on your investment? 0 PV = -78.35 r= ? 1 … 4 5 100.00 = FV5 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 51 Solving for r—Financial Calculator Solution Inputs: Output: 5 N ? I/Y −78.35 PV 0 PMT 100.00 FV = 5.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 52 Solving for Time (n) A security that costs $68.30 will provide a return of 10 percent per year. If you want to keep the investment until it grows to a value of $100, how long will you have to keep it? 0 PV = -68.30 r = 10% 1 … n-1 n=? 100.00 = FVn Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 53 Solving for n—Financial Calculator Solution Inputs: ? N 10 I/Y −68.30 PV 100.00 0 PMT FV Output: = 4.0 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 54 Semiannual and Other Compounding Periods • Annual compounding is the process of determining the future value of a cash flow or series of cash flows when interest is earned (added) once per year. • Semiannual compounding is the process of determining the future value of a cash flow or series of cash flows when interest is added twice per year. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 55 FV of a lump sum • The FV of a lump sum be larger if interest is compounded more often, holding the stated r constant? Why? • If compounding is more frequent than once per year—for example, semi-annually, quarterly, or daily—interest is earned on interest—that is, compounded—more often. • Compared to annual compounding, a greater amount of interest is earned when interest is compounded more than once per year. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 56 Distinguishing Between Different Interest Rates rSIMPLE = Simple (Quoted) Rate used to compute the interest paid per period APR = Annual Percentage Rate = rSIMPLE rEAR = Effective Annual Rate the annual rate of interest actually being earned Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 57 Comparison of Different Types of Interest Rates • rSIMPLE: Simple, or quoted rate; not used in calculations. • rPER: Periodic rat; rate per period (e.g., per year, per month, etc.); used in calculations. • rEAR: Effective annual rate; used to compare returns on investments with different interest compounding per year. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 58 Simple (Quoted) Rate • rSIMPLE is stated in contracts Interest periods per year (m) must be given • Examples: • 9%, compounded quarterly • 9%, compounded daily (365 days) Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 59 Periodic Rate, rPER • Periodic rate = rPER = rSIMPLE/m, where m is number of compounding periods per year • Examples: • 9%, compounded quarterly: m = 4 and rPER = 9%/4 = 2.25% • 9%, compounded monthly: m = 12 and rPER = 9%/12 = 0.75% Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 60 Effective Annual Rate, rEAR The annual rate that causes PV to grow to the same FV as it would with multi-period compounding. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 61 Computing rEAR • What is the effective annual return (EAR) for an investment that pays 12 percent interest, compounded monthly? Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 62 Amortized Loans • Amortized Loan—a loan that is repaid in equal payments over its life. • A portion of the payment represents interest and the remainder represents repayment of the amount that was borrowed. • Amortization schedules show how much of each payment represents principal repayment and how much represents interest. Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 63 Amortization Schedule An amortization schedule for a $33,000, 6.5 percent loan that requires three equal annual payments. Year 0 r = 6.5% 1 15,000 PMT = ? 2 3 PMT = ? PMT = ? Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 64 PMT Financial Calculator Solution Inputs: Output: 3 N 6.5 I/Y 33,000 PV ? PMT 0 FV = −12,460 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 65 Amortization Schedule (continued) Year Beginning of Payment Year Balance (2) (1) Interest @ 6.5% (3) = (1) × 0.065 Repayment of Principal (4) = (2) − (3) Remaining Balance (5) = (1) − (4) 1 $33,000.00 $12,460 $2,145 $10,315.00 $22,685.00 2 22,685.00 $12,460 1,474.53 10,985.48 11,699.53 3 11,699.53 $12,460 760.47 11,699.53 0.00 Copyright ©2019 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly acce ssible website, in whole or in part. CFIN6 | CH4 66
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