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StockWaves > Market Analysis > The Math Behind Inventory Valuation — Our Wealth Insights
Market Analysis

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
Honest 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 Development SharesConclusion

Honest Worth Calculator – ROE and P/B Ratio Methodology



ROE to P/B Valuation Calculator

Introduction

I not too long ago watched an insightful podcast that includes Anup Maheshwari. He’s a supervisor with over 30 years of expertise within the inventory markets. His rationalization of basic evaluation, significantly the connection between Return on Fairness (ROE) and Worth-to-E-book (P/B) ratio, was fairly attention-grabbing.

Inventory buyers can usually 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 most important 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 basic 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 when you don’t know the route.

Anup stresses that basic evaluation is easier than it appears.

It’s about understanding an organization’s means 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 value our hard-earned rupees.

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

Begin-up Analogy

Think about you may have Rs.10 crores.

You could possibly make investments this capital in a secure 10-year authorities bond. That is the most secure long-term funding possibility that can fetch you 6% return every year. No trouble, no stress.

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

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

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

Beginning a enterprise entails plenty of effort and coping with dangers. Each of them come as a bundle.

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 individuals to start out 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 internet value (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 a very powerful 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 unstable, various between 20% in good years, close to zero in unhealthy 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 so much in regards to the enterprise. A gentle, cyclical, or rising firm could have these traits seen of their ROE historical past as nicely.

Having this readability is important 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 need 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? Beneath what circumstances would possibly it’s 2x or decrease?

Let’s perceive the derivation of this thumb rule utilizing some math. I’ll attempt to hold 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 (internet value).

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 Development Mannequin hyperlinks ROE to P/B. Permit me to indicate you the calculations.

P/B = (ROE – g) / (COE – g)

Right here I’m assuming the next values:

  • ROE is 15% (0.15).
  • COE (Value of Fairness) is the return buyers anticipate, say 10%. Logic is, 6% is risk-free price from authorities bonds plus a 4% danger premium.
  • The expansion price ( g ) relies on 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 formulation:

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 worth valaution.

There may be 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 identical 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 attainable. The honest P/B ratio of the corporate could be decrease than its marke P/B ratio. How this can occur? When development is low or danger 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 development price (g) will likely be solely 3%.

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

Plugging into these values within the P/B formulation:

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 now have accomplished right here? An organization whose ROE is 15%, COE is 10%, and which is rising at a price 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 implies that, if the market P/B of XYZ is 3, it’s buying and selling at overvalued worth ranges.

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

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

Let’s see yet another variation to our firm ABC.

  • ROE is 15% (0.15).
  • COE (Value of Fairness) is the return buyers anticipate, say 12%.
  • Reinvestment Charge 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 (Value 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 best way to purchase a cyclical inventory is to purchase them when the P/B is low. In these instances, the inventory is offered at undervalued worth 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 unstable. 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 steady.

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 remembers the Nineteen Nineties when buyers 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 a less complicated and extra dependable ratio that we retail buyers can use with extra actually as a technique to to honest worth estimation of shares.

5. Classes from Cyclical and Development Shares

Cyclical shares like Hindalco are curler coasters. Their ROE and P/B soar in good instances and crash in unhealthy 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 need to promote, we will do it when the P/B ratio turns into near 3x (in an upswing).

Following this methodology, one could make superb returns from cyclical shares as nicely.

How Development Shares Are Completely different?

Development 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 that they had a brand new CEO, they usually went from Bajaj targeted financing to all in all client financing. This when the ROE of Bajaj Finance hit 20%+. In consequence, the P/B additionally climbed to 6x.

You possibly can see, how the modified enterprise mannequin (excessive development mannequin) modified the corporate’s valuation from P/B 0.5x to P/B 12x.

This acquire occurred from each revenue development and valuation rerating.

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

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 (danger) in any such assumed valuation?

The corporate is just not 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 methodology. Why? As a result of assuming an trade common ROE, COE, and development 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

Methods to apply this information for inventory evaluation by oneself?

You possibly can test platforms like Inventory Engine and get a historic ROE and P/B knowledge.

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

Anup additionally shares an amazing private story. He talked about instructing 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 beloved his analogy of investing being like a everlasting MBA program. You be taught from CEOs, query their methods, and develop your wealth. But it surely 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 could be accomplished.

A 15% ROE sometimes means a 3x P/B. However a P/B beneath 2 alerts a discount (when you imagine ROE will recuperate). It’s ineffective to put money into an organization that isn’t going to see ROE growth regardless of how low its P/E is at present.

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

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

Have a contented investing.

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