Latest / VoraPrep Audio — Professional Licensure & Certification Exam Prep / [CMA] CMA1: Mastering EPS: From Basic Calculation to Dilutive Complexity
Transcript
- Hey, welcome to VoraPrep Audio. Glad you could tune in. So, I want you to picture this for a second. The CFO of a big public company is on the quarterly earnings call. All the analysts from Wall Street are dialed in. And the very first question, almost guaranteed, is going to be about one number: Earnings Per Share. EPS. It's the headline. It’s the metric that can send a stock soaring or tumbling. As the management accountant, you’re often the person who calculated that number. So getting it right isn't just about passing the exam. It's about your company's credibility. And yours. Today, we're going to walk through exactly how to do that, from the simple stuff to the tricky parts that show up on the exam. Let's start with the foundation: Basic EPS. Think of this as the simplest, most direct measure. It answers the question: how much profit did the company make for each single share of common stock? The formula is pretty straightforward. You take Net Income, subtract any dividends you owe to preferred shareholders, and divide all of that by the weighted-average number of common shares outstanding. The top part of that formula, the numerator, is pretty easy. You start with net income. But you have to pull out the slice of profit that belongs to the preferred stockholders. They get paid first. If the preferred stock is cumulative, you have to subtract their dividend for the period. This is true even if the company didn't actually declare it or pay it. The obligation is there, so it comes out. If it’s non-cumulative, you only subtract the dividend if it was actually declared. Now, the bottom part of the formula… the denominator. This is where it gets a little more interesting. The number of shares a company has isn't always static. They issue new shares. They buy back old ones. So we can't just use the number of shares at the end of the year. That wouldn't be fair. Those shares weren't all there for the full year helping to generate the income. We need a weighted average. Let’s walk through a quick example. Imagine a company, Fusion Corp., starts the year with 100,000 shares. For the first three months, January through March, that's the number. So we take 100,000 shares times 3-twelfths of the year. That gives us 25,000 weighted shares for that period. Then, on April 1st, they issue 30,000 new shares. So from April through September, for six months, they now have 130,000 shares outstanding. We take 130,000 times 6-twelfths of the year, which is 65,000. Finally, on October 1st, they buy back 12,000 shares. For the last three months of the year, they're down to 118,000 shares. That's 118,000 times 3-twelfths, which gives us 29,500. You add all those weighted pieces together. The 25,000, the 65,000, and the 29,500. You get a total weighted-average of 119,500 shares. That’s your denominator. It’s really tempting on the exam, when you're in a hurry, to just take the beginning shares plus the ending shares and divide by two. It feels quick and intuitive. But it’s a trap. Doing that would give equal weight to the shares at the start and the end of the year. It completely ignores when the changes happened. GAAP requires the time-weighted method because it accurately reflects the capital the company had available to generate earnings throughout the period. Okay, so that’s Basic EPS. But that's only part of the story. Many companies have things like stock options, or convertible bonds. These aren't common stock yet, but they could become common stock. This creates a potential for… dilution. This is where Diluted EPS comes in. It’s the "what if" scenario. It answers the question: what would our earnings per share look like in a worst-case scenario? What if everyone who could turn their security into a common share, did so? By definition, Diluted EPS has to be less than or equal to Basic EPS. It can never be higher. If you ever calculate a diluted EPS that's higher than basic, you know you've made a mistake somewhere. To keep the methods straight for calculating this dilution, I use a simple mnemonic: T-I-C. The T stands for the Treasury Stock Method. You use this for stock options and warrants. The I-C stands for the If-Converted Method. You use this for convertible securities, like convertible bonds or convertible preferred stock. T-I-C. Let's look at the Treasury Stock Method first. The logic here is pretty cool. The accounting rules say, let's assume everyone with an 'in-the-money' stock option exercises it. The company gets a flood of cash from employees paying the exercise price. What would a company logically do with a big pile of cash? It would probably go out and buy back its own stock on the open market. So the net effect on the share count isn't just all the new shares from the options. It's the new shares minus the shares the company could have repurchased with the cash it received. Here's a quick example. A company has 20,000 options out there with an exercise price of $30. The stock is currently trading at an average of $50. We assume 20,000 new shares are issued. The company receives 20,000 times $30, which is $600,000 in cash. Then, we assume the company uses that $600,000 to buy back shares at the market price of $50. That means they can repurchase 12,000 shares. So, 20,000 new shares were created, but 12,000 were bought back. The net increase—the number you add to the denominator for diluted EPS.—is just 8,000 shares. Now for the other method, the If-Converted method. This one's for convertible bonds and preferred stock. The logic is more direct. We just pretend the conversion happened on day one of the year. So, what changes? Two things. Your share count goes up, and your income goes up. For a convertible bond, you add the new shares to the denominator. For the numerator, you get to add back the interest expense you would have saved. But you have to do it on an after-tax basis. So you add back Interest Expense times (1 minus the tax rate). For convertible preferred stock, it's similar. You add the new shares to the denominator. And for the numerator, you add back the preferred dividends you wouldn't have had to pay if those shares had been common stock all year. There's no tax adjustment here, since dividends aren't tax-deductible for the company. Now, here's the final, critical check. This is a major point that trips people up on the exam. You can't just throw all potential new shares into the calculation at once. You have to test them, and you have to do it in a specific order. First, you calculate the 'per-share effect' for each individual security. Think of it as a mini-EPS for just that one item. For options, the income effect is zero, so their per-share effect is always zero. For a convertible bond, you take the after-tax interest savings and divide it by the new shares. For convertible preferred stock, you take the preferred dividends you'd save and divide by the new shares. Next, you rank all these securities. You put them in order from most dilutive to least dilutive. The most dilutive is the one with the lowest per-share effect. Now for the sequential test. You start with your Basic EPS. You take the most dilutive security from your list. Is its per-share effect lower than Basic EPS.? If yes, you add it in. Then, you calculate a new, tentative Diluted EPS with that first security included. Now, you take the second-most dilutive security. You compare its per-share effect to your new tentative EPS. If it's still lower, it's also dilutive. You add it in and recalculate an even newer tentative EPS. You repeat this process for each security. If at any point adding a security would make your tentative EPS go up, that security is antidilutive. You stop, and you exclude it from the final calculation. This sequential process is the only way to get the right answer on a complex question. And before we put this all together, here's a major exam trap. What happens if a company has a net loss? In that case, all potentially dilutive securities are considered antidilutive. Period. Why? Think about it. If you have a loss of one dollar spread over ten shares, that's a loss of 10 cents per share. If you add more shares to the denominator—say, twenty shares—now your loss is only 5 cents per share. The loss per share got smaller, which is an improvement. That's antidilutive. So, if you see a net loss on the exam, you can smile. Diluted EPS is the same as Basic EPS. Alright, let's walk through a full example. Sterling Solutions has net income of $2.5 million. They have one million weighted-average shares. Basic EPS is easy: $2.5 million divided by 1 million is $2.50. That's our starting benchmark. Now, they have two potential diluters. First, 100,000 stock options with an exercise price of $15, when the market price is $20. Second, they have 8% convertible bonds with a total face value of one million dollars. These can be converted into 40,000 shares. Their tax rate is 25%. First, let's find the per-share effect of each one. For the options, using the Treasury Stock method, the proceeds are $1.5 million. At a market price of $20, they could buy back 75,000 shares. The net increase is 25,000 shares. The income effect is zero. So the per-share effect is zero. Next, the bonds. The interest savings would be 8% of one million dollars, or $80,000. After tax, at a 25% rate, that's a $60,000 savings to the numerator. The denominator adjustment is 40,000 new shares. So the per-share effect is $60,000 divided by 40,000 shares, which is $1.50. Now we rank them. The options have an effect of zero. The bonds have an effect of $1.50. So the options are more dilutive. We test them first. Our benchmark is Basic EPS of $2.50. The options' effect of zero is less than $2.50, so they are dilutive. We add them in. Our tentative numerator is still $2.5 million. Our tentative denominator is 1 million shares plus the 25,000 from options, so 1,025,000. This gives us a new tentative EPS of about $2.44. Now we test the bonds. We compare their effect of $1.50 to our new benchmark of $2.44. Since $1.50 is less than $2.44, the bonds are also dilutive. So we include them too. Now we can calculate the final Diluted EPS. The numerator is the $2.5 million net income plus the $60,000 in interest savings, for a total of $2,560,000. The denominator is the 1,025,000 shares we had, plus the 40,000 from the bonds, for a total of 1,065,000 shares. Divide the new numerator by the new denominator… $2,560,000 by 1,065,000… and you get a Diluted EPS of $2.40. Notice, it's lower than the Basic EPS of $2.50, which is exactly what we expected. So, to recap: Basic EPS is your starting point. Diluted EPS is your worst-case scenario. Remember the T-I-C mnemonic: Treasury stock for options, If-Converted for convertibles. And always, always run the sequential antidilution test before you include anything. If there’s a net loss, Diluted EPS equals Basic EPS. You’ve got this. VoraPrep is a full exam-prep app — lessons, practice questions, and an AI tutor in one place. Get started at Vora Prep dot com.