Intrinsic Valuation

Estimate intrinsic value using discounted cash flows and scenario thinking.

18 min read
Beginner

Intrinsic Valuation: What a Business Is Really Worth

Earlier in the course, we focused on two related ideas:

• How businesses perform
• How markets price those businesses

Intrinsic valuation shifts our attention once more.

Instead of asking “How is this business priced relative to others?”
we ask a deeper question:

What is this business worth on its own?

This approach treats a stock not as a symbol on a screen,
but as a long-term claim on the cash a real business will generate for its owners.

Intrinsic valuation focuses on economic reality, not market mood.

Why Cash Flow Sits at the Center of Value

At its core, a business exists to generate cash.

Revenue is important.
Profits are important.

But cash is what ultimately pays dividends, reduces debt, funds growth, or rewards owners.

Accounting profits are shaped by estimates, timing, and accounting rules.
Cash flow, by contrast, reflects what actually moves into and out of the business.

For valuation, we focus on free cash flow – the cash left over after a business pays its operating expenses and reinvests enough to keep itself competitive.

This is the cash that could be distributed to owners without weakening the business.

Why a Dollar Today Is Worth More Than a Dollar Tomorrow

Imagine you are offered two choices:

• 1,000today•1,000 today • 1,000 five years from now

Most people instinctively prefer the money today. And for good reason.

Money received today can be reinvested, used flexibly, and carries less uncertainty.

Future cash is valuable – but it is never as valuable as cash in hand.

Intrinsic valuation accounts for this reality through discounting:
we translate future cash flows into their equivalent value today.

Discounting adjusts future cash for time, risk, and uncertainty.

A Simple Business We Can Reason About

To make this concrete, let’s work with a simple example.

Assume a small, stable business generates $120,000 in free cash flow today. The business is mature, predictable, and expected to grow slowly over time.

Rather than forecasting every detail of the future, we’ll make a small number of clear assumptions and see what those assumptions imply.

Valuation is not about predicting the future perfectly.
It is about being explicit about what must be true.

Step 1: Estimating Future Free Cash Flow

Every valuation begins with a simple idea:

A business is worth the cash it can give to its owners over time.

So our first task is not to be clever or precise – it is to be reasonable.

We start by asking:

If this business continues operating normally, how much free cash might it generate in future years?

Free cash flow (FCF) represents cash that remains after the business has paid its expenses and reinvested what it needs to stay competitive.

It is the cash that could, in theory, be distributed to owners without harming the business.

To keep things simple, we’ll assume that today’s free cash flow grows at a steady rate.

Conceptually, we are saying:

“If the business produces this much cash today, and it grows gradually as the business expands, what does that look like year by year?”

FCFt=FCF0×(1+g)t\text{FCF}_t = \text{FCF}_0 \times (1 + g)^t

Where:

  • FCF0\text{FCF}_0 is today’s free cash flow
  • gg is the annual growth rate we assume
  • tt represents the year in the future
python
initial_fcf = 120_000
growth_rate = 0.05
years = 5

projected_fcf = [
    initial_fcf * (1 + growth_rate) ** year
    for year in range(1, years + 1)
]

projected_fcf

These figures are not predictions.

They are written assumptions – visible, adjustable, and open to debate.

The goal is not accuracy.
The goal is clarity.

Step 2: Deciding What Return Is Required

Once we estimate future cash flows, the next question is not about the business.

It is about us as investors.

We ask:

What return would make owning this business worthwhile, given its uncertainty and risk?

This required return is known as the discount rate.

It reflects three ideas:

  • Future cash is uncertain
  • Cash received later is worth less than cash received today
  • Capital always has alternative uses

A riskier business demands a higher required return.

A stable, predictable business can justify a lower one.

For our example, we’ll assume a required return of 10% – a reasonable hurdle for a mature business with moderate risk.

Step 3: Translating Future Cash Into Today’s Dollars

A dollar received in the future is not worth a dollar today.

This idea is the foundation of valuation.

To make future cash flows comparable to today’s price, we discount them back to the present.

The present value of a single future cash flow is calculated as:

PVt=FCFt(1+r)t\text{PV}_t = \frac{\text{FCF}_t}{(1 + r)^t}

This formula does two things at once:

  • It adjusts for time
  • It adjusts for risk

When we repeat this process for every projected year and add the results together, we obtain the value of the forecast period in today’s dollars.

python
discount_rate = 0.10

present_values = [
    cash_flow / (1 + discount_rate) ** year
    for year, cash_flow in enumerate(projected_fcf, start=1)
]

present_values, sum(present_values)

Seeing the Whole Valuation at Once

Up to this point, we have worked step by step.

But investors rarely think about valuation one formula at a time.

They want to see all assumptions, cash flows, and present values together – in one place – so the logic can be inspected as a whole.

Discounted Cash Flow Summary (Illustrative Example)
Year
Free Cash Flow
Discount Factor (10%)
Present Value
1126,0000.91114,545
2132,3000.83109,339
3138,9150.75104,379
4145,8610.6899,593
5153,1540.6295,007
PV of Forecast Cash Flows523,238
Terminal Value (Year 5)2,192,4850.621,360,341
Intrinsic Enterprise Value1,883,579

A DCF table does exactly that.

It lays out:

  • What the business generates each year
  • How far into the future that cash arrives
  • How much each dollar is worth today
A good DCF table makes the economics visible at a glance.

Step 4: Accounting for Life Beyond the Forecast

Our forecast only covers five years – but most businesses are designed to last far longer.

Instead of modeling every distant year individually, we estimate a terminal value.

This represents the value of all future cash flows beyond the explicit forecast, summarized into a single number.

One common approach is the perpetual growth model, which assumes cash flows continue growing at a modest, sustainable rate forever.

Terminal ValueN=FCFN×(1+g)r−g\text{Terminal Value}_N = \frac{\text{FCF}_N \times (1 + g)}{r - g}

Just like any future cash flow, the terminal value must also be discounted back to today.

Ignoring this step would dramatically overstate value.

Step 5: Arriving at Intrinsic Value

At this point, everything comes together.

The intrinsic value of the business is the sum of:

  • The discounted cash flows during the forecast period
  • The discounted terminal value
Intrinsic Value=∑t=1NFCFt(1+r)t+Terminal ValueN(1+r)N\text{Intrinsic Value} = \sum_{t=1}^{N} \frac{\text{FCF}_t}{(1 + r)^t} + \frac{\text{Terminal Value}_N}{(1 + r)^N}
DCF does not predict the future – it clarifies what must be true for a price to make sense.

In the table above, you can see this process fully assembled.

Each row represents a claim on future cash. Each discount factor converts that claim into today’s dollars.

When we sum those present values, we arrive at an estimate of what the operating business is worth today.

From Business Value to Shareholder Value

It is important to pause and be precise about what we have valued.

A DCF estimates the value of the business itself – often called enterprise value.

But shareholders do not own the business free and clear.

They own what remains after debt is paid and excess cash is accounted for.

To move from enterprise value to equity value, we adjust for the balance sheet:

Equity Value=Enterprise Value+Cash−Debt\text{Equity Value} = \text{Enterprise Value} + \text{Cash} - \text{Debt}
DCF values operations. The balance sheet tells us who ultimately owns that value.

Looking at the Same Cash Flows Through IRR

So far, we have asked:

“What is this business worth?”

Now we reverse the perspective and ask:

“If I pay today’s market price, what return am I earning?”

What IRR Tells Us

The Internal Rate of Return (IRR) is the discount rate that makes the present value of all future cash flows equal to the price paid.

In plain terms, IRR answers this question:

“If I buy this business at today’s price and the cash flows unfold as assumed, what annual return do I earn over time?”

DCF solves for value given a required return. IRR solves for return given a price.

What This Model Is – and Is Not

At this point, it is tempting to treat the DCF model as an answer machine.

It is not.

A discounted cash flow model is a structured way of thinking, not a guarantee of correctness.

It organizes assumptions about growth, risk, and longevity – and shows their consequences.

If the assumptions are weak, the output will be misleading.

If the assumptions are thoughtful, the model becomes a powerful decision aid.

The model does not create insight. Your assumptions do.

Why DCF and IRR Belong Together

DCF and IRR describe the same economics from different angles.

When intrinsic value is higher than price, the implied IRR exceeds the required return.

When intrinsic value is lower than price, the return falls short.

Judgment Still Matters

Intrinsic valuation depends on assumptions about growth, risk, and durability.

It cannot eliminate uncertainty – but it forces us to confront it directly.

The goal of valuation is not precision. It is disciplined reasoning.
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