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StockWaves > Investment Strategies > The Math Behind Inventory Valuation — Our Wealth Insights
Investment Strategies

The Math Behind Inventory Valuation — Our Wealth Insights

StockWaves By StockWaves Last updated: June 27, 2025 16 Min Read
The Math Behind Inventory Valuation — Our Wealth Insights
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Contents
Truthful Worth Calculator – ROE and P/B Ratio MethodologyIntroduction1. Why Elementary Evaluation IssuesBegin-up Analogy2. The Energy of ROE3. The Math Behind ROE and P/BCase #1: ROE 15%, P/B 3XCase #2: ROE 15% P/E < 2XCase #3: ROE 15% P/E < 2XCase #4: Hindalco4. Why P/B is Extra Helpful Than P/E and EPS As A Valuation Metric5. Classes from Cyclical and Progress SharesConclusion

Truthful Worth Calculator – ROE and P/B Ratio Methodology



ROE to P/B Valuation Calculator

Introduction

I just lately watched an insightful podcast that includes Anup Maheshwari. He’s a supervisor with over 30 years of expertise within the inventory markets. His clarification of elementary evaluation, significantly the connection between Return on Fairness (ROE) and Worth-to-Ebook (P/B) ratio, was fairly fascinating.

Inventory traders can typically discover themselves tangled in monetary jargon of the market. However Anup’s easy explanations of understanding a enterprise with respect to how the capital is allotted resonated with me.

I’ll share my key takeaways from the podcast.

However my essential focus will the math behind ROE and P/B relationship as highlighted within the video.

However earlier than that, let’s begin with the core idea of elementary evaluation of companies.

1. Why Elementary Evaluation Issues

Inventory choosing can really feel like travelling in a Mumbai native prepare throughout rush hour. It may be overwhelming and dangerous in the event you don’t know the route.

Anup stresses that elementary evaluation is easier than it appears.

It’s about understanding an organization’s skill to generate earnings on the cash invested in it. That is the place ROE and P/B are available.

They assist us gauge whether or not a inventory is price our hard-earned rupees.

However earlier than we get to the mathematics, let’s set the stage with Anup’s core thought, investing is about allocating capital properly.

Begin-up Analogy

Think about you may have Rs.10 crores.

You might make investments this capital in a protected 10-year authorities bond. That is the most secure long-term funding choice that may fetch you 6% return every year. No problem, no stress.

In case you need highe returns than 6%, you’ll must do extra.

You might make investments it in a enterprise that guarantees 15% returns.

However there’s a catch right here. Companies should not as protected as a authorities bond (G-Sec). They can not promise you a secure return like a bond.

Beginning a enterprise entails quite a lot of effort and coping with dangers. Each of them come as a package deal.

So the query is, why take a lot dangers and efforts? The reply is within the further 9% return (6% + 9% = 15%). This alpha (further returns) is what creates worth and motivates folks to begin a enterprise.

That is the essence of capital allocation, selecting the place your cash works hardest.

2. The Energy of ROE

ROE is the star of the present.

ROE measures how a lot revenue an organization makes for each rupee of its web price (or fairness).

ROE is just like the grades a enterprise earns over a time span of 1 yr. A excessive ROE means the corporate is environment friendly at turning capital into earnings.

Anup says ROE is crucial variable as a result of it drives an organization’s worth.

Take an organization like Nestle.

It boasts an ROE of over 90% as a result of its robust model requires little capital to generate enormous earnings. Examine this to Hindalco, an aluminum producer. Its ROE is most risky, various between 20% in good years, close to zero in dangerous ones like 2016. Why?

It’s a cyclical enterprise tied to financial ups and downs.

Anup’s level could be very stratight ahead, an investor should perceive an organization’s ROE profile earlier than investing in them. ROE profiling says quite a bit in regards to the enterprise. A gradual, cyclical, or rising firm can have these traits seen of their ROE historical past as effectively.

Having this readability is crucial earlier than one can go forward and purchase shares.

3. The Math Behind ROE and P/B

Now, let’s get to the half that I wish to share with you.

How does a 15% ROE translate to a P/B ratio?

Anup mentions a “rule of thumb” {that a} 15% ROE sometimes ends in a P/B of about 3x.

However why? Underneath what situations would possibly it’s 2x or decrease?

Let’s perceive the derivation of this thumb rule utilizing some math. I’ll attempt to preserve it as easy in order that even non-math guys can get the texture of it.

What’s P/E ratio? It’s the market worth of an organization (market cap) divided by its e-book worth (web price).

Case #1: ROE 15%, P/B 3X

For instance, if an organization “ABC” has Rs.10 crores in e-book worth and its market cap is Rs.30 crores, its P/B is 3.

Now, if the Gordon Progress Mannequin hyperlinks ROE to P/B. Permit me to point out you the calculations.

P/B = (ROE – g) / (COE – g)

Right here I’m assuming the next values:

  • ROE is 15% (0.15).
  • COE (Price of Fairness) is the return traders count on, say 10%. Logic is, 6% is risk-free charge from authorities bonds plus a 4% threat premium.
  • The expansion charge ( g ) depends upon how a lot revenue the corporate reinvests. If it reinvests 50% of earnings (retention ratio = 0.5), then ‘g’ can be as beneath:

g = ROE * Retention Ratio = 0.15 * 0.5 = 0.075 = 7.5%

Plugging into these values within the P/B method:

P/B = 0.15 – 0.075 / 0.10 – 0.075 = 0.075 / 0.025 = 3

Understanding ROE and P:B Relationship - Gordon Growth Model - Calculation ROE15 PB3

This matches Anup’s rule of 15% ROE provides a P/B of ~3x.

Case #2: ROE 15% P/E < 2X

Let’s take one other instance, and this time we’ll combine the idea of value valaution.

There’s one other firm (XYZ) whose market worth is about Rs.30 crores for a Rs.10 crore e-book worth and its ROE is 15%. The price of fairness (COE) can be similar as earlier than, 10%.

When it comes to market valuation, the corporate’s P/B worth ratio is 3X.

P/B = Market Cap / Web Price = 30 / 10 = 3

Now, let’s estimate if the above calculated P/B is supported by the corporate’s valuation or not.

Sure it’s potential. The honest P/B ratio of the corporate may be decrease than its marke P/B ratio. How it will occur? When progress is low or threat is excessive.

Suppose the corporate XYZ pays out 80% of its earnings as dividends. Now, this leaves solely 20% for reinvestment. On this case, the progress charge (g) will probably be solely 3%.

g = ROE * Retention Ratio = 0.15 * 0.2 = 0.03 = 3.0%

Plugging into these values within the P/B method:

P/B = (0.15 – 0.03) / (0.10 – 0.03) = 0.075 / 0.025 = 1.715

Understanding ROE and P:B Relationship - Gordon Growth Model - Calculation ROE15 PB3 - example

What we’ve got completed right here? An organization whose ROE is 15%, COE is 10%, and which is rising at a charge of solely 3%, its honest P/B ratio must be 1.715 (beneath 2).

For a similar ROE and COE, the corporate ABC’s honest P/B was 3 and for XYZ’s honest P/B is 1.715. It signifies that, if the market P/B of XYZ is 3, it’s buying and selling at overvalued value ranges.

Why is that this variation coming? It’s due to the low progress charge of XYZ. Low progress reduces valuation.

Case #3: ROE 15% P/E < 2X

Let’s see yet one more variation to our firm ABC.

  • ROE is 15% (0.15).
  • COE (Price of Fairness) is the return traders count on, say 12%.
  • Reinvestment Price is 50%.

Right here we’re assuming that for a similar compant (ABC), the COE goes as much as 12%.

Now, let’s estimate how this COE (Price of Fairness) variation impact the honest P/B ratio.

P/B = (0.15 – 0.075) / (0.12 – 0.075} = 0.075 / 0.045 = 1.67

Case #4: Hindalco

Within the video podcast, Anup provides the instance of Hindalco in 2016.

At the moment, Hindalco’s ROE was close to zero. Therefore, at the moment it was buying and selling at 1/third of its e-book worth (Rs.80 per share vs. Rs.240 e-book worth).

What does it imply?

If the present ROE of an organization is low (like in case of Hindalco’s 2016 case), the market will assume that this low ROE would persist. Therefore, at the moment its P/B ratio fell to such low multiples (1/third).

[Remember: Metals stocks have a cyclical business where profits fluctuate between highs and lows.]

However when the ROE of the identical firm (like Hindalco) would rise to say 15-20%, the P/B would additionally rise to 3x multiples.

So, one studying could be very seen. The way in which to purchase a cyclical inventory is to purchase them when the P/B is low. In these instances, the inventory is accessible at undervalued value ranges.

4. Why P/B is Extra Helpful Than P/E and EPS As A Valuation Metric

Anup isn’t a fan of the Worth-to-Earnings (P/E) ratio or Earnings Per Share (EPS). Why?

Earnings are risky. Throughout COVID, inventory costs fell, however earnings crashed much more, making P/E ratios look excessive regardless of shares being low-cost. P/B, then again, is tied to e-book worth, which stays secure.

It’s like evaluating a shaky bamboo bridge (P/E) to a concrete one (P/B).

P/B additionally connects on to ROE, the core driver of worth.

A 15% ROE means a predictable P/B of ~3x. However then again, P/E can swing wildly.

Anup recollects the Nineties when traders obsessed over P/E and EPS, ignoring ROE. This led to overpaying for shares like IT corporations through the dot-com growth.

P/B is unarguably an easier and extra dependable ratio that we retail traders can use with extra definitely as a strategy to to honest worth estimation of shares.

5. Classes from Cyclical and Progress Shares

Cyclical shares like Hindalco are curler coasters. Their ROE and P/B soar in good instances and crash in dangerous ones.

Therefore, timing issues whereas choosing such shares. We should purchase them at a low P/B (like beneath 1x) in a downturn market. If we wish to promote, we will do it when the P/B ratio turns into near 3x (in an upswing).

Following this technique, one could make excellent returns from cyclical shares as effectively.

How Progress Shares Are Completely different?

Progress shares like Bajaj Finance are completely different. That is how Anup explains it within the podcast.

In 2008, the ROE of Bajaj Finance was 4-5%, and P/B was 0.5x. Throughout these years, the main focus of the corporate was to finance buy of solely Bajaj scooters and bikes.

Then they’d a brand new CEO, they usually went from Bajaj centered financing to all in all client financing. This when the ROE of Bajaj Finance hit 20%+. Consequently, the P/B additionally climbed to 6x.

You’ll be able to see, how the modified enterprise mannequin (excessive progress mannequin) modified the corporate’s valuation from P/B 0.5x to P/B 12x.

This acquire occurred from each revenue progress and valuation rerating.

How loss-making corporations like fast commerce shares may be evaluated utilizing ROE and P/B technique?

We should attempt to forecast a future ROE.

Let’s take instance of Zomato (Everlasting).

It’s burning money now, but when it hits 20% ROE by 2030, you estimate its future P/B and low cost it again.

What’s the drawback (threat) in such a assumed valuation?

The corporate will not be worthwhile now, we’re assuming that it turns into one in instances to come back. However I nonetheless assume that it’s higher than P/E technique. Why? As a result of assuming an business common ROE, COE, and progress provides us the premise to imagine a good P/B ratio. However in case of P/E, there’s not stndard Revenue or EPS numbers.

Conclusion

How one can apply this data for inventory evaluation by oneself?

You’ll be able to examine platforms like Inventory Engine and get a historic ROE and P/B knowledge.

Search for corporations with robust ROE however briefly low P/B. These are our bargains.

Anup additionally shares an excellent private story. He talked about educating his nieces to speculate Rs.1,000 month-to-month. It’s like planting tree early in life (constructing a inventory portfolio) after which watering it with good inventory. The subsequent step is to let compounding do the magic.

I liked his analogy of investing being like a everlasting MBA program. You study from CEOs, query their methods, and develop your wealth. However it takes time.

5 years, Anup says, is when returns outshine dangers.

I hope you want the mathematics behind ROE and P/B that explains how inventory valuation may be completed.

A 15% ROE sometimes means a 3x P/B. However a P/B beneath 2 alerts a discount (in the event you consider ROE will get well). It’s ineffective to put money into an organization that’s not going to see ROE growth irrespective of how low its P/E is at present.

P/B’s stability makes it a greater wager than P/E.

Inform me within the remark part beneath the way you preferred this weblog put up.

Have a cheerful investing.

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