In the previous post we learnt about the pitfalls of using P/E ratios and the limitations of using DCF. Buffett owners earnings fixed most of the shortcomings. In this post we will learn about valuing a company using residual earnings.

## 1. Residual Earnings

The fictitious **Company A** given below has a book value per share of $100,000 on 31-Dec-2014. Earnings per share (EPS) and Book value per share (BPS) from 2015 to 2017 are estimates. Also your opportunity cost aka cost-of-capital is 10%. With this information can you calculate the intrinsic value for company A on 31-Dec-2014?

Intrinsic value has two components to it. One of them is book value which is known and can be obtained from the balance sheet. In this case it is $100,000. The other component deals with future book value and future earnings on that book value. Since future is unknown we call this component as speculative. In this case the items under 2015E to 2017E deals with future and hence speculative.

Intrinsic value per share = Book value per share + Speculative value per share

Let us calculate the speculative value for the year 2015. We know that the book value for 2014 is $100,000 and the cost of capital is 10%. This means that we expect a minimum return of $10,000 ($100,000 * 0.1). In 2015 the expected EPS is $20,000. This represents a return on common equity (ROCE) of 20%. So the company exceeded expectations by 10% or $10,000 which is the residual earnings. In the book Accounting for Value Stephen Penman writes

*Residual earnings is sometimes referred to as excess earnings or abnormal earnings and is alternatively (but equivalently) calculated as Earnings _{t} − (r × B_{t−1}), that is, earnings less a charge against book value to cover the investor’s required return (or the “cost-of-capital”).*

For the year 2016 the company earned $18,000 on a book value of $120,000. Its ROCE comes to 15%. After 10% cost-of-capital the residual earnings comes to $6000. For the year 2017 the company earned $13,800 on a book value of $138,000. Its ROCE comes to 10%. After 10% cost-of-capital there is zero residual earnings. Take a look at the calculations given below and spend some time to understand it.

Book value per share = $100,000 Speculative value per share = Discounted Residual Earnings_{2015}+ Discounted Residual Earnings_{2016}+ Discounted Residual Earnings_{2017}Speculative value per share = ($10,000 / 1.1) + ($6,000 / 1.1^{2}) + $0 Speculative value per share = $9,090.91 + $4,958.68 + $0 Speculative value per share = $14,049.59 Intrinsic value per share = Book value per share + Speculative value per share Intrinsic value per share = $100,000 + $14,049.59 Intrinsic value per share = $114,049.59

Since company A had positive residual earnings its intrinsic value $114,059.59 is greater than the book value $100,000. This is one of the key ideas that needs to be remembered forever. Let me use an analogy to make this concept stick. You are an employee working in a software company and your manager has assigned you a task. He expects you to complete the task in two weeks.

In 1994 letter to shareholders Buffett explained the difference between book value and intrinsic value using college education. This is by far the best explanation that you can ever read. The lines marked in bold is what we did with Company A.

*You can gain some insight into the differences between book value and intrinsic value by looking at one form of investment, a college education. Think of the education’s cost as its “book value.” If this cost is to be accurate, it should include the earnings that were foregone by the student because he chose college rather than a job.*

*For this exercise, we will ignore the important non-economic benefits of an education and focus strictly on its economic value. First, we must estimate the earnings that the graduate will receive over his lifetime and subtract from that figure an estimate of what he would have earned had he lacked his education. That gives us an excess earnings figure, which must then be discounted , at an appropriate interest rate, back to graduation day. The dollar result equals the intrinsic economic value of the education.*

*Some graduates will find that the book value of their education exceeds its intrinsic value, which means that whoever paid for the education didn’t get his money’s worth. In other cases, the intrinsic value of an education will far exceed its book value, a result that proves capital was wisely deployed. In all cases, what is clear is that book value is meaningless as an indicator of intrinsic value.*

## 2. Residual Earnings with continuing value

Company A had zero residual earnings from the year 2017. But companies with durable competitive advantage can generate positive residual earnings for a very long time into the future. How do we value them? Penman supplies us with the formula which is given below. Let us look at some examples to understand this formula.

**Company B** given below is similar to company A. The only difference is that company B has a positive residual earnings for the year 2017. Also let us assume that the residual earnings beyond the year 2017 is going to be constant. How much would you pay for company B on 31-Dec-2014?

The calculations should be familiar to you except the continuing value part which I have worked out below.

Book value per share = $100,000 Speculative value per share = Discounted Residual Earnings_{2015}+ Discounted Residual Earnings_{2016}+ Discounted Residual Earnings_{2017}+ Discounted Continuing value Speculative value per share = ($10,000 / 1.1) + ($6,000 / 1.1^{2}) + ($6,003/ 1.1^{3}) + Discounted Continuing value Speculative value per share = $9,090.91 + $4,958.68 + $4,510.14 + Discounted Continuing value Speculative value per share = $18,559.73 + Discounted Continuing value Continuing value = Residual Earnings_{2017}/ expected rate of return Continuing value = $6,003 / 0.1 Continuing value = $60,030 Discounted Continuing value = Continuing value / 1.1^{3}Discounted Continuing value = $60,030 / 1.1^{3 }Discounted Continuing value = $45,101.43 Speculative value per share = $18,559.73 + Discounted Continuing value Speculative value per share = $18,559.73 + $45,101.43 Speculative value per share = $63,661.16 Intrinsic value per share = Book value per share + Speculative value per share Intrinsic value per share = $100,000 + $63,661.16 Intrinsic value per share = $163,661.16

**Company C** given below is similar to company B. The only difference is that the residual earnings from 2017 is growing at 3.5% every year for a very long time. How much would you pay for company C on 31-Dec-2014?

The calculations are similar except the part that calculates continuing value accounts for 3.5% growth.

Book value per share = $100,000 Speculative value per share = Discounted Residual Earnings_{2015}+ Discounted Residual Earnings_{2016}+ Discounted Residual Earnings_{2017}+ Discounted Continuing value Speculative value per share = ($10,000 / 1.1) + ($6,000 / 1.1^{2}) + ($6,210/ 1.1^{3}) + Discounted Continuing value Speculative value per share = $9,090.91 + $4,958.68 + $4,665.66 + Discounted Continuing value Speculative value per share = $18,715.25 + Discounted Continuing value Continuing value = Residual Earnings_{2017}* growth rate / (expected rate of return - growth rate) Continuing value = $6,210 * 1.035 / (1.1 - 1.035) Continuing value = $6,427.35 / (1.1 - 1.035) Continuing value = $6,427.35 / 0.065 Continuing value = $98,882.31 Discounted Continuing value = Continuing value / 1.1^{3}Discounted Continuing value = $98,882.31 / 1.1^{3 }Discounted Continuing value = $74,291.74 Speculative value per share = $18,715.25 + Discounted Continuing value Speculative value per share = $18,715.25 + $74,291.74 Speculative value per share = $93,006.99 Intrinsic value per share = Book value per share + Speculative value per share Intrinsic value per share = $100,000 + $93,006.99 Intrinsic value per share = $193,006.99

Even though Company A, B, and C have the same book value their intrinsic values are different. Companies that can grow its residual earnings for a very long time into the future will have intrinsic value that is much greater than its book value. Since Company C is growing its residual earnings at 3.5% every year its intrinsic value is higher than the other two companies.

*To sum up, think of three types of “savings accounts.” The great one pays an extraordinarily high interest rate that will rise as the years pass. The good one pays an attractive rate of interest that will be earned also on deposits that are added. Finally, the gruesome account both pays an inadequate interest rate and requires you to keep adding money at those disappointing returns. – Buffet, 2007 shareholders letter*

## 3. Valuing Hawkins Cookers

Using the residual earnings method let us value a real company. Hawkins Cookers designs, manufactures, and sells high quality pressure cookers and cookwares throughout India. You can read about its business here. Given below are its per share earnings and book value for the last three years. The company earns around 70% return on equity after tax. Its product quality, brand, distribution and service networks make this above average return possible. Also the company returns most of its earnings as dividends and require very little capital to grow its earnings. This is the reason why earnings per share grew faster than book value per share. Clearly the intrinsic value of the business should be greater than its book value. Let us find out the intrinsic value of the company.

**1. Anchor on book value:** To calculate intrinsic value we need to start with something that we know is true. The book value per share in FY2014 is **105.75 rupees**.

**2. Estimate residual earnings for next year:** An asset is worth more than its book if it earns more than cost-of-capital. We know that the residual earnings for FY2014 is 62.04 rupees and it grew by 13% compared to FY2013. From this data, I am assuming that in FY2015 the residual earnings will grew by 15%. This assumption is conservative as the company came out of supply side issues from the prior years. Also it introduced a new pressure cooker model called HEVIBASE. Take a look what the management told about recent sales and profits. Residual earnings in FY2015 will be 71.35 rupees (62.04 * 1.15). Since this earnings is going to happen only in next year we need to discount it by an opportunity cost of 10%. The discounted residual earnings comes to **64.86 rupees** (71.35 / 1.1).

**3. Find out the continuing value with no growth:** Pressure cookers and cookwares are going to be there for a long time. Also the moat of Hawkins is very strong and hence it will be able to generate residual value for a long time into the future. Capitalizing the discounted residual earnings of 64.86 rupees** **we get **648.64** **rupees** ( 64.86 / (0.1 – g) ). Here g is the growth rate of residual earnings and I have set it to zero.

**4. Compare it with the market price: **Adding step 1 to 3 we get the intrinsic value of Hawkins as **819.25 rupees** (105.75 + 64.86 + 648.64). As of this writing the market price of Hawkins is **3315.85** rupees. Our intrinsic value accounts only for 24.70% (819.25 / 3315.85) of the market price. What explains the remaining 75% of the market price? Remember while calculating the continuing value for Company C we assumed that the residual earnings will grow at 3.5% forever. In the case of Hawkins we assumed zero growth. This is the reason why intrinsic value differs so much from the market price. The remaining 75% of the market price is being paid for the growth in residual earnings.

**5.** **Invert and negotiate with the market: **Coming up with a long term residual earnings growth rate is like playing with the mirrors. If you love the company then you will justify infinite growth and end up paying too much for growth. We need to avoid this. So instead of estimating growth rates we will invert the problem and find out how much growth is already reflected in the current market price. Supply various values for **g** and repeat step 3 and 4 until the intrinsic value matches the market price. To justify the current market price Hawkins residual earnings should grow at 8% for a very long time. Your job as an investor is to negotiate with Mr Market. If you believe that Hawkins can grow its residual earnings faster than 8% then you should buy. If not you should wait. I believe that the valuations are stretched.

Residual earnings method fixed all the limitations of DCF. Some of the advantages with this method are **(1)** By anchoring on book value we are providing a solid foundation for valuation **(2)** By estimating forward earnings for only one year we are shunning speculation **(3)** By setting growth rate to zero for calculating continuing value we are finding out value without any growth assumptions **(4)** By inverting we are finding out how much growth is already reflected in the current market price and then answering if the market expectations are too much or too little. As Buffett once said – *After all, you need not know a man’s precise age to know that he is old enough to vote nor know his exact weight to recognize his need to diet.*

We have come to the end of this post. But we are not done yet. There are few limitations with residual earnings method. Some of them are **(1)** Return on equity can be boasted by leveraging the balance sheet **(2)** Accrual earnings can be fudged **(3)** Expenses like Advertising and R & D can create durable competitive advantage and they should not be expensed but instead kept it in the balance sheet and amortized over time. In the next post we will learn how to avoid overpaying for leverage induced growth.

Valuations simplified!! Thanks a ton Jana..

Hi Jana,

Thanks again the very detailed and excellent posting on valuation!

A question on ROCE mentioned. How is that different from ROE and how we can factor for the calculation here.

Growth rate — Is it considerable to make the average or low of historical growth rate to make the projection if required (speculatively again).

Thanks.

-Muthu

Muthu,

Thanks. In the case of Hawkins ROCE and ROE are the same. ROCE is the return available only to the common stocks and doesn’t include any other kinds like preferred.

You can try using historical growth rates but make sure the business and the industry remains the same.

Regards,

Jana

TTK grew at 15% cagr over 5yrs, when hawkins was not growing, as u mentioned..

Growth isnt very high even during best consumption fueled periods like past 5 yr. TTk had to invest equity to attain meager 15% growth, even when its best compititor is down, as u mentioend.. Which means (1) industry isnt growing that fast (2) industry isnt that big – combined profit of 2 largest players is 150cr! (3) for hawkins to grow, they will need to infuse equity in busi, which will reduce their roe, hence tarnishing ur mathamatical model. (4) any ad spend would further reduce roe. (5) moat is all made up hypothesis here, regional players are good and give them run for money. Can be seen by ad spends n discounts offered. Distribution and operational mgt is commendable but not irreplacable.

Hi Jana

Is there any range for growth rate of residual earnings that market is factoring in which can be considered as a buying range?

BR,

Sudhi

Sudhi,

I like when the price does not account for any growth. If you find a great business selling at no growth valuations then buy. Any growth then is like an icing on the cake.

I do not have a specific number in mind that can be applied to every business. It all depends on the kind of business. I would recommend you to value Relaxo Footwear using residual earnings and see how much growth was reflected in the market price on August 2013.

Regards,

Jana

Hi Jana

For Relaxo, it was close to zero % for the August 2013 market price!! This was an eye opener for me because I thought for most of the good businesses it will not be below 3-4. However for Relaxo, now the market is factoring in ~6% Residual growth 😦 May be my assumption is only applicable in Bull market.

BR,

Sudhi

Sudhi,

Awesome. It happens for companies with emerging moats. Take a look at

Regards,

Jana

Hi Jana

Does this valuation method apply for any type of company/industry or do we have to apply some shortlisting prior to taking up this valuation method?

Thanks and Regards

Sudheendra

Sudhi,

It should work for majority of the businesses. For Banks and NBFCs I use a simple metric of two times book as long as the quality of the business management is top class.

Regards,

Jana

Great job Jana. You made it so simple. Additionally I have started going through Accounting for Value.

Hi Jana, for a company which is earning good ROE but paying out hefty dividends will have its book value and consequently intrinsic value reduced. Nevertheless the company can grow its residual earnings at very good rate for a very long period of time. How much to pay? Example GRUH Finance Ltd.

wat year was hawkings trading at No growth in Residual earning basis

Around 1Q 2010 and 1Q 2011

Hi Jana,

In the calculation for continuing value, what happens if the growth rate is equal to the cost of capital?

RE* growth rate /(0.1-0.1) ?? Also what if the growth rate is more than 10%

Raj,

The formula will not work if growth is equal to or greater than cost of capital. In order to handle that situation you need to increase the cost of capital as super high growth comes with risk.

Regards,

Jana

Jana,

If we increase the cost of capital then again resulting (r-g) will remain the same and ultimately no difference in the valuation. Generally over a long period we don’t see g value greater than r is it (in Indian scenario)?

Regards,

Vishal

Vishal,

I answered that question here – https://goo.gl/9WLK3x.

Regards,

Jana

Has the application of Mr.Stephen Penman’s method served you well as far as Indian capital markets are concerned

Just wondering if Mr.Penman’s methods look good only on paper or do they really work in the practical world ?

Anyone

Many Thanks

Shazia Rohit

Hi Jana,

Will there be possibility of G is greater than R? If yes then how calculation will change?

Residual Earning/(1+r)^2*(R-G).

Thanks

Krushna

Krushna,

If G is greater than R then this will not work. If that happens Penman suggests increasing R as very high growth is risky and you need a higher discount rate.

Regards,

Jana

Reblogged this on Random thoughts of an Insecure Investor.

Hi Jana

I applied residual earning framework to find out what Future Growth rate of Residual Earnings is priced in for 3 companies – KSE Ltd, Control Print and Avanti Feeds and the priced in values are 0%, 1 % and 3 % each. So do you think these are good enough companies to bet on considering the cheaper valuations based on residual earning model described here?

Thanks and Regards

Sudheendra

Hi Sudhi,

I have not studied any of the businesses you are referring to. Without that it’s not possible to answer your question.

Also residual earnings alone doesn’t tell if one needs to buy or sell a business. You need to apply your judgment on the business quality and future growth potential.

Regards,

Jana

Hi Jana,

Great post! Had a small question. When doing the residual earnings calculation, will we take tangible book value or the total equity part of the business? What happens in the cases where there is a high goodwill value involved?

Thanks.

Varenya,

You need to find out the total capital invested in the business operations. Refer to https://janav.wordpress.com/2014/11/19/accounting-for-value-3/

In general you should remove the Goodwill. But for technology companies, I keep it as (1) bigger portion in balance sheet (2) many of their acquisitions are done for “synergy” which seldom materializes.

Regards,

Jana

Jana, G or the residual growth rate. What do you think is a normal rate to assume for a country growing at 5 to 9% gdp. I mean can i assume 5% to the lowest and 7% to the highest? or should it be lower than 5%. Is there any correlation at all to gdp?

Jagan,

The value of G depends on the business. And I would not blindly equate it to GDP.

Refer to the last part of my latest post which talks about this.

https://janav.wordpress.com/2015/05/01/geometric-series-and-gordon-growth-model/

Regards,

Jana

thanks Jana, i really appreciate your posts. I have been blindly valuating stock on PE ratios before. I greatly appreciate your prompt replies too.

Thanks Jagan.

Regards,

Jana

The article is very nicely explained but I noticed u always use 10% as an opportunity cost . If that is a figure just to explain, it’s fine but in reality cost of capital differs from project to project and business to business . Infact, cost of capital for household products industry in general would be around 12.5-13% .

Swati,

Thanks. The 10% discount rate used here is for example purposes only.

Regards,

Jana

Hi Jana,

Great blog on Hawkins Valuation! What is the best growth rate in Residual earnings that you forsee in Hawkins?

Rajxen,

I haven’t looked at the recent business development in Hawkins. Without that I wouldn’t be able to answer your question.

Regards,

Jana