Audit Risk Model: Explanation of Risk Assesment

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Audit Risk Model: Explanation of Risk Assesment

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What Is an Auditor’s Report?

An auditor’s report is a written letter from the auditor containing their opinion on whether a company’s financial statements comply with generally accepted accounting principles (GAAP) and are free from material misstatement.

The independent and external audit report is typically published with the company’s annual report. The auditor’s report is important because banks and creditors require an audit of a company’s financial statements before lending to them.

Key Takeaways

  • The auditor’s report is a document containing the auditor’s opinion on whether a company’s financial statements comply with GAAP and are free from material misstatement.
  • The audit report is important because banks, creditors, and regulators require an audit of a company’s financial statements.
  • A clean audit report means a company followed accounting standards while an unqualified report means there might be errors.
  • An adverse report means that the financial statements might have had discrepancies, misrepresentations, and didn’t adhere to GAAP.

How an Auditor’s Report Works

An auditor’s report is a written letter attached to a company’s financial statements that expresses its opinion on a company’s compliance with standard accounting practices. The auditor’s report is required to be filed with a public company’s financial statements when reporting earnings to the Securities and Exchange Commission (SEC).

However, an auditor’s report is not an evaluation of whether a company is a good investment. Also, the audit report is not an analysis of the company’s earnings performance for the period. Instead, the report is merely a measure of the reliability of the financial statements.

The Components of an Auditor’s Report

The auditor’s letter follows a standard format, as established by generally accepted auditing standards (GAAS). A report usually consists of three paragraphs.

  • The first paragraph states the responsibilities of the auditor and directors.
  • The second paragraph contains the scope, stating that a set of standard accounting practices was the guide.
  • The third paragraph contains the auditor’s opinion.

An additional paragraph may inform the investor of the results of a separate audit on another function of the entity. The investor will key in on the third paragraph, where the opinion is stated.

The type of report issued will be dependent on the findings by the auditor. Below are the most common types of reports issued for companies.

Clean or Unqualified Report

A clean report means that the company’s financial records are free from material misstatement and conform to the guidelines set by GAAP. A majority of audits end in unqualified, or clean, opinions.

Qualified Opinion

A qualified opinion may be issued in one of two situations: first, if the financial statements contain material misstatements that are not pervasive; or second, if the auditor is unable to obtain sufficient appropriate audit evidence on which to base an opinion, but the possible effects of any material misstatements are not pervasive. For example, a mistake might have been made in calculating operating expenses or profit. Auditors typically state the specific reasons and areas where the issues are present so that the company can fix them.

Adverse Opinion

An adverse opinion means that the auditor has obtained sufficient audit evidence and concludes that misstatements in the financial statements are both material and pervasive. An adverse opinion is the worst possible outcome for a company and can have a lasting impact and legal ramifications if not corrected.

Regulators and investors will reject a company’s financial statements following an adverse opinion from an auditor. Also, if illegal activity exists, corporate officers might face criminal charges.

Disclaimer of Opinion

A disclaimer of opinion means that, for some reason, the auditor is unable to obtain sufficient audit evidence on which to base the opinion, and the possible effects on the financial statements of undetected misstatements, if any, could be both material and pervasive. Examples can include when an auditor can’t be impartial or wasn’t allowed access to certain financial information.

Example of an Auditor’s Report

Excerpts from the audit report by Deloitte & Touche LLP for Starbucks Corporation, dated Nov. 15, 2019, follow.

Paragraph 1: Opinion on the Financial Statements

“We have audited the accompanying consolidated balance sheets of Starbucks Corporation and subsidiaries (the ‘Company’) as of September 29, 2019, and September 30, 2018, the related consolidated statements of earnings, comprehensive income, equity, and cash flows, for each of the three years in the period ended September 29, 2019, and the related notes (collectively referred to as the ‘financial statements’).

In our opinion, the financial statements present fairly, in all material respects, the financial position of the Company as of September 29, 2019, and September 30, 2018, and the results of its operations and its cash flows for each of the three years in the period ended September 29, 2019, in conformity with accounting principles generally accepted in the United States of America.”

Paragraph 2: Basis for Opinion

“We conducted our audits in accordance with the standards of the Public Company Accounting Oversight Board (PCAOB). Those standards require that we plan and perform the audit to obtain reasonable assurance about whether the financial statements are free of material misstatement, whether due to error or fraud. Our audits included performing procedures to assess the risks of material misstatement of the financial statements, whether due to error or fraud, and performing procedures that respond to those risks.

Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the financial statements. We believe that our audits provide a reasonable basis for our opinion.”

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Annual Percentage Rate (APR): What It Means and How It Works

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Annual Percentage Rate (APR): What It Means and How It Works

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What Is Annual Percentage Rate (APR)?

Annual percentage rate (APR) refers to the yearly interest generated by a sum that’s charged to borrowers or paid to investors. APR is expressed as a percentage that represents the actual yearly cost of funds over the term of a loan or income earned on an investment. This includes any fees or additional costs associated with the transaction but does not take compounding into account. The APR provides consumers with a bottom-line number they can compare among lenders, credit cards, or investment products.

Key Takeaways

  • An annual percentage rate (APR) is the yearly rate charged for a loan or earned by an investment.
  • Financial institutions must disclose a financial instrument’s APR before any agreement is signed.
  • The APR provides a consistent basis for presenting annual interest rate information in order to protect consumers from misleading advertising.
  • An APR may not reflect the actual cost of borrowing because lenders have a fair amount of leeway in calculating it, excluding certain fees.
  • APR shouldn’t be confused with APY (annual percentage yield), a calculation that takes the compounding of interest into account.

APR vs. APY: What’s the Difference?

How the Annual Percentage Rate (APR) Works

An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you’ll pay each year by taking things such as monthly payments and fees into account. APR is also the annual rate of interest paid on investments without accounting for the compounding of interest within that year.

The Truth in Lending Act (TILA) of 1968 mandates that lenders disclose the APR they charge to borrowers. Credit card companies are allowed to advertise interest rates on a monthly basis, but they must clearly report the APR to customers before they sign an agreement.

Credit card companies can increase your interest rate for new purchases, but not existing balances if they provide you with 45 days’ notice first.

How Is APR Calculated?

APR is calculated by multiplying the periodic interest rate by the number of periods in a year in which it was applied. It does not indicate how many times the rate is actually applied to the balance.


APR = ( ( Fees + Interest Principal n ) × 365 ) × 100 where: Interest = Total interest paid over life of the loan Principal = Loan amount n = Number of days in loan term \begin{aligned} &\text{APR} = \left ( \left ( \frac{ \frac{ \text{Fees} + \text{Interest} }{ \text {Principal} } }{ n } \right ) \times 365 \right ) \times 100 \\ &\textbf{where:} \\ &\text{Interest} = \text{Total interest paid over life of the loan} \\ &\text{Principal} = \text{Loan amount} \\ &n = \text{Number of days in loan term} \\ \end{aligned}
APR=((nPrincipalFees+Interest)×365)×100where:Interest=Total interest paid over life of the loanPrincipal=Loan amountn=Number of days in loan term

Types of APRs

Credit card APRs vary based on the type of charge. The credit card issuer may charge one APR for purchases, another for cash advances, and yet another for balance transfers from another card. Issuers also charge high-rate penalty APRs to customers for late payments or violating other terms of the cardholder agreement. There’s also the introductory APR—a low or 0% rate—with which many credit card companies try to entice new customers to sign up for a card.

Bank loans generally come with either fixed or variable APRs. A fixed APR loan has an interest rate that is guaranteed not to change during the life of the loan or credit facility. A variable APR loan has an interest rate that may change at any time.

The APR borrowers are charged also depends on their credit. The rates offered to those with excellent credit are significantly lower than those offered to those with bad credit.

Compound Interest or Simple Interest?

APR does not take into account the compounding of interest within a specific year: It is based only on simple interest.

APR vs. Annual Percentage Yield (APY)

Though an APR only accounts for simple interest, the annual percentage yield (APY) takes compound interest into account. As a result, a loan’s APY is higher than its APR. The higher the interest rate—and to a lesser extent, the smaller the compounding periods—the greater the difference between the APR and APY.

Imagine that a loan’s APR is 12%, and the loan compounds once a month. If an individual borrows $10,000, their interest for one month is 1% of the balance, or $100. That effectively increases the balance to $10,100. The following month, 1% interest is assessed on this amount, and the interest payment is $101, slightly higher than it was the previous month. If you carry that balance for the year, your effective interest rate becomes 12.68%. APY includes these small shifts in interest expenses due to compounding, while APR does not.

Here’s another way to look at it. Say you compare an investment that pays 5% per year with one that pays 5% monthly. For the first month, the APY equals 5%, the same as the APR. But for the second, the APY is 5.12%, reflecting the monthly compounding.

Given that an APR and a different APY can represent the same interest rate on a loan or financial product, lenders often emphasize the more flattering number, which is why the Truth in Savings Act of 1991 mandated both APR and APY disclosure in ads, contracts, and agreements. A bank will advertise a savings account’s APY in a large font and its corresponding APR in a smaller one, given that the former features a superficially larger number. The opposite happens when the bank acts as the lender and tries to convince its borrowers that it’s charging a low rate. A great resource for comparing both APR and APY rates on a mortgage is a mortgage calculator.

APR vs. APY Example

Let’s say that XYZ Corp. offers a credit card that levies interest of 0.06273% daily. Multiply that by 365, and that’s 22.9% per year, which is the advertised APR. Now, if you were to charge a different $1,000 item to your card every day and waited until the day after the due date (when the issuer started levying interest) to start making payments, you’d owe $1,000.6273 for each thing you bought.

To calculate the APY or effective annual interest rate—the more typical term for credit cards—add one (that represents the principal) and take that number to the power of the number of compounding periods in a year; subtract one from the result to get the percentage:


APY = ( 1 + Periodic Rate ) n 1 where: n = Number of compounding periods per year \begin{aligned} &\text{APY} = (1 + \text{Periodic Rate} ) ^ n – 1 \\ &\textbf{where:} \\ &n = \text{Number of compounding periods per year} \\ \end{aligned}
APY=(1+Periodic Rate)n1where:n=Number of compounding periods per year

In this case your APY or EAR would be 25.7%:


( ( 1 + . 0006273 ) 365 ) 1 = . 257 \begin{aligned} &( ( 1 + .0006273 ) ^ {365} ) – 1 = .257 \\ \end{aligned}
((1+.0006273)365)1=.257

If you only carry a balance on your credit card for one month’s period, you will be charged the equivalent yearly rate of 22.9%. However, if you carry that balance for the year, your effective interest rate becomes 25.7% as a result of compounding each day.

APR vs. Nominal Interest Rate vs. Daily Periodic Rate

An APR tends to be higher than a loan’s nominal interest rate. That’s because the nominal interest rate doesn’t account for any other expense accrued by the borrower. The nominal rate may be lower on your mortgage if you don’t account for closing costs, insurance, and origination fees. If you end up rolling these into your mortgage, your mortgage balance increases, as does your APR.

The daily periodic rate, on the other hand, is the interest charged on a loan’s balance on a daily basis—the APR divided by 365. Lenders and credit card providers are allowed to represent APR on a monthly basis, though, as long as the full 12-month APR is listed somewhere before the agreement is signed.

Disadvantages of Annual Percentage Rate (APR)

The APR isn’t always an accurate reflection of the total cost of borrowing. In fact, it may understate the actual cost of a loan. That’s because the calculations assume long-term repayment schedules. The costs and fees are spread too thin with APR calculations for loans that are repaid faster or have shorter repayment periods. For instance, the average annual impact of mortgage closing costs is much smaller when those costs are assumed to have been spread over 30 years instead of seven to 10 years.

Who Calculates APR?

Lenders have a fair amount of authority to determine how to calculate the APR, including or excluding different fees and charges.

APR also runs into some trouble with adjustable-rate mortgages (ARMs). Estimates always assume a constant rate of interest, and even though APR takes rate caps into consideration, the final number is still based on fixed rates. Because the interest rate on an ARM will change when the fixed-rate period is over, APR estimates can severely understate the actual borrowing costs if mortgage rates rise in the future.

Mortgage APRs may or may not include other charges, such as appraisals, titles, credit reports, applications, life insurance, attorneys and notaries, and document preparation. There are other fees that are deliberately excluded, including late fees and other one-time fees.

All this may make it difficult to compare similar products because the fees included or excluded differ from institution to institution. In order to accurately compare multiple offers, a potential borrower must determine which of these fees are included and, to be thorough, calculate APR using the nominal interest rate and other cost information.

Why Is the Annual Percentage Rate (APR) Disclosed?

Consumer protection laws require companies to disclose the APRs associated with their product offerings in order to prevent companies from misleading customers. For instance, if they were not required to disclose the APR, a company might advertise a low monthly interest rate while implying to customers that it was an annual rate. This could mislead a customer into comparing a seemingly low monthly rate against a seemingly high annual one. By requiring all companies to disclose their APRs, customers are presented with an “apples to apples” comparison.

What Is a Good APR?

What counts as a “good” APR will depend on factors such as the competing rates offered in the market, the prime interest rate set by the central bank, and the borrower’s own credit score. When prime rates are low, companies in competitive industries will sometimes offer very low APRs on their credit products, such as the 0% on car loans or lease options. Although these low rates might seem attractive, customers should verify whether these rates last for the full length of the product’s term, or whether they are simply introductory rates that will revert to a higher APR after a certain period has passed. Moreover, low APRs may only be available to customers with especially high credit scores.

How Do You Calculate APR?

The formula for calculating APR is straightforward. It consists of multiplying the periodic interest rate by the number of periods in a year in which the rate is applied. The exact formula is as follows:

APR=((Fees+InterestPrincipaln)×365)×100where:Interest=Total interest paid over life of the loanPrincipal=Loan amountn=Number of days in loan term\begin{aligned} &\text{APR} = \left ( \left ( \frac{ \frac{ \text{Fees} + \text{Interest} }{ \text {Principal} } }{ n } \right ) \times 365 \right ) \times 100 \\ &\textbf{where:} \\ &\text{Interest} = \text{Total interest paid over life of the loan} \\ &\text{Principal} = \text{Loan amount} \\ &n = \text{Number of days in loan term} \\ \end{aligned}APR=((nPrincipalFees+Interest)×365)×100where:Interest=Total interest paid over life of the loanPrincipal=Loan amountn=Number of days in loan term

The Bottom Line

The APR is the basic theoretical cost or benefit of money loaned or borrowed. By calculating only the simple interest without periodic compounding, the APR gives borrowers and lenders a snapshot of how much interest they are earning or paying within a certain period of time. If someone is borrowing money, such as by using a credit card or applying for a mortgage, the APR can be misleading because it only presents the base number of what they are paying without taking time into the equation. Conversely, if someone is looking at the APR on a savings account, it doesn’t illustrate the full impact of interest earned over time.

APRs are often a selling point for different financial instruments, such as mortgages or credit cards. When choosing a tool with an APR, be careful to also take into account the APY because it will prove a more accurate number for what you will pay or earn over time. Though the formula for your APR may stay the same, different financial institutions will include different fees in the principal balance. Be aware of what is included in your APR when signing any agreement.

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Anti-Dilution Provision: Definition, How It Works, Types, Formula

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Anti-Dilution Provision: Definition, How It Works, Types, Formula

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What Is an Anti-Dilution Provision?

Anti-dilution provisions are clauses built into convertible preferred stocks and some options to help shield investors from their investment potentially losing value. When new issues of a stock hit the market at a cheaper price than that paid by earlier investors in the same stock, then equity dilution can occur. Anti-dilution provisions are also referred to as anti-dilution clauses, subscription rights, subscription privileges, or preemptive rights.

Understanding Anti-Dilution Provisions

Anti-dilution provisions act as a buffer to protect investors against their equity ownership positions becoming diluted or less valuable. This can happen when the percentage of an owner’s stake in a company decreases because of an increase in the total number of shares outstanding. Total shares outstanding may increase because of new share issuance based on a round of equity financing. Dilution can also occur when holders of stock options, such as company employees, or holders of other optionable securities exercise their options.

When the number of shares outstanding increases, each existing stockholder owns a smaller, or diluted, percentage of the company, making each share less valuable.

Sometimes the company receives enough cash in exchange for the shares that the increase in the value of the shares offsets the effects of dilution; but often this is not the case.

Anti-Dilution Provisions at Work

Dilution can be particularly vexing to preferred shareholders of venture capital deals, whose stock ownership may become diluted when later issues of the same stock hit the market at a cheaper price. Anti-dilution provisions can discourage this from happening by tweaking the conversion price between convertible securities, such as corporate bonds or preferred shares, and common stocks. In this way, anti-dilution clauses can keep an investor’s original ownership percentage intact.

Dilution in Action

  • As a simple example of dilution, assume that an investor owns 200,000 shares of a company that has 1,000,000 shares outstanding. The price per share is $5, meaning that the investor has a $1,000,000 stake in a company valued at $5,000,000. The investor owns 20% of the company.
  • Next, assume that the company enters a new round of financing and issues 1,000,000 more shares, bringing the total shares outstanding to 2,000,000. Now, at that same $5 per share price, the investor owns a $1,000,000 stake in a $10,000,000 company. Instantly, the investors’ ownership has been diluted to 10%.

Types of Anti-Dilution Provisions

The two common types of anti-dilution clauses are known as “full ratchet” and “weighted average.”

With a full ratchet provision, the conversion price of the existing preferred shares is adjusted downward to the price at which new shares are issued in later rounds. Very simply, if the original conversion price was $5 and in a later round the conversion price is $2.50, the investor’s original conversion price would adjust to $2.50.

The weighted average provision uses the following formula to determine new conversion prices:

  • C2 = C1 x (A + B) / (A + C)

Where:

  • C2 = new conversion price
  • C1 = old conversion price
  • A = number of outstanding shares before a new issue
  • B = total consideration received by the company for the new issue
  • C = number of new shares issued

Key Takeaways

  • Anti-dilution provisions are clauses built into convertible preferred stocks to help shield investors from their investment potentially losing value.
  • Dilution can occur when the percentage of an owner’s stake in a company decreases because of an increase in the total number of shares outstanding. 
  • Anti-dilution provisions are also referred to as anti-dilution clauses, subscription rights, subscription privileges, or preemptive rights.

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Asset Coverage Ratio: Definition, Calculation, and Example

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Asset Coverage Ratio: Definition, Calculation, and Example

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What Is the Asset Coverage Ratio?

The asset coverage ratio is a financial metric that measures how well a company can repay its debts by selling or liquidating its assets. The asset coverage ratio is important because it helps lenders, investors, and analysts measure the financial solvency of a company. Banks and creditors often look for a minimum asset coverage ratio before lending money.

Key Takeaways

  • The asset coverage ratio is a financial metric that measures how well a company can repay its debts by selling or liquidating its assets.
  • The higher the asset coverage ratio, the more times a company can cover its debt.
  • Therefore, a company with a high asset coverage ratio is considered to be less risky than a company with a low asset coverage ratio.

Understanding the Asset Coverage Ratio

The asset coverage ratio provides creditors and investors with the ability to gauge the level of risk associated with investing in a company. Once the coverage ratio is calculated, it can be compared to the ratios of companies within the same industry or sector.

It’s important to note that the ratio is less reliable when comparing it to companies of different industries. Companies within certain industries may typically carry more debt on their balance sheet than others.

For example, a software company might not have much debt while an oil producer is usually more capital intensive, meaning it carries more debt to finance the expensive equipment, such as oil rigs but then again has assets on its balance sheet to back the loans.

Asset Coverage Ratio Calculation

The asset coverage ratio is calculated with the following equation:

((Assets – Intangible Assets) – (Current Liabilities – Short-term Debt)) / Total Debt

In this equation, “assets” refers to total assets, and “intangible assets” are assets that can’t be physically touched, such as goodwill or patents. “Current liabilities” are liabilities due within one year, and “short-term debt” is debt that is also due within one year. “Total debt” includes both short-term and long-term debt. All of these line items can be found in the annual report.

How the Asset Coverage Ratio is Used

Companies that issue shares of stock or equity to raise funds don’t have a financial obligation to pay those funds back to investors. However, companies that issue debt via a bond offering or borrow capital from banks or other financial companies have an obligation to make timely payments and, ultimately, pay back the principal amount borrowed.

As a result, banks and investors holding a company’s debt want to know that a company’s earnings or profits are sufficient to cover future debt obligations, but they also want to know what happens if earnings falter.

In other words, the asset coverage ratio is a solvency ratio. It measures how well a company can cover its short-term debt obligations with its assets. A company that has more assets than it does short-term debt and liability obligations indicates to the lender that the company has a better chance of paying back the funds it lends in the event company earnings can not cover the debt.

The higher the asset coverage ratio, the more times a company can cover its debt. Therefore, a company with a high asset coverage ratio is considered to be less risky than a company with a low asset coverage ratio.

If earnings are not enough to cover the company’s financial obligations, the company might be required to sell assets to generate cash. The asset coverage ratio tells creditors and investors how many times the company’s assets can cover its debts in the event earnings are not enough to cover debt payments.

Compared to debt service ratio, asset coverage ratio is an extreme or last recourse ratio because the assets coverage is an extreme use of the assets’ value under a liquidation scenario, which is not an extraordinary event.

Special Considerations

There is one caveat to consider when interpreting the asset coverage ratio. Assets found on the balance sheet are held at their book value, which is often higher than the liquidation or selling value in the event a company would need to sell assets to repay debts. The coverage ratio may be slightly inflated. This concern can be partially eliminated by comparing the ratio against other companies in the same industry.

Example of the Asset Coverage Ratio

For example, let’s say Exxon Mobil Corporation (XOM) has an asset coverage ratio of 1.5, meaning that there are 1.5x’s more assets than debts. Let’s say Chevron Corporation (CVX)–which is within the same industry as Exxon–has a comparable ratio of 1.4, and even though the ratios are similar, they don’t tell the whole story.

If Chevron’s ratio for the prior two periods was .8 and 1.1, the 1.4 ratio in the current period shows the company has improved its balance sheet by increasing assets or deleveraging–paying down debt. Conversely, let’s say Exxon’s asset coverage ratio was 2.2 and 1.8 for the prior two periods, the 1.5 ratio in the current period could be the start of a worrisome trend of decreasing assets or increasing debt.

In other words, it’s not enough to merely analyze one period’s asset coverage ratio. Instead, it’s important to determine what the trend has been over multiple periods and compare that trend with like companies.

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