Market price, intrinsic value and perceived value
The market price is the one price at which a share trades now; it blends the differing expectations of all investors. Intrinsic value, the true present value of expected cash flows, cannot be observed. Each investor's estimate is a perceived value. Price below value means undervalued; above means overvalued.
Before this: Sources of Equity Returns, Time Value of Money in Finance
On the exam
- Contrast price and value for an equity security
Contrast price and value for an equity security. Expect the verdict from a value and a price or from two ranges, the expected return if the price converges to value, a probability-weighted value from scenarios, what investors and the issuer do about a gap, which investor approach a description shows, and why harder-to-value shares draw wider estimates.
How deeply to learn each part
- Know the idea
- Understand it in general. It frames other topics, but you will not calculate with it.
- Use it
- Understand it well enough to solve a question with it. Recognize when it applies.
- Memorize
- Learn it by heart. The exam will not give it to you.
You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.
You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.
What is the difference between price and value?
The market price , written , is what a share can be freely bought and sold for in the secondary market right now. There is only one at any moment, and it reflects the combined (and differing) expectations of all investors about the amount, timing and uncertainty of the cash the company will generate for its owners.
Intrinsic value , written and also called fundamental value, is what the share is truly worth: the present value of its expected future cash flows at an appropriate discount rate. Nobody can observe it. (In a takeover, value can also depend on the buyer and how well the two businesses combine. This lesson sticks to the present value view.)
Every investor forms an estimate of intrinsic value. That estimate is a perceived value , and the estimates investors produce are called perceived value indicators . They differ, sometimes a lot, because investors use different methods and information and have different risk tolerance and horizons.
Gaps between perceived value and price drive what investors and companies do. Acting on a gap assumes convergence : as investors absorb new information and trade on the gaps, the price moves toward intrinsic value over time. New information can also change intrinsic value itself.
| Market price | Intrinsic value | Perceived value | |
|---|---|---|---|
| Observable? | yes | no | only to its owner |
| How many? | one at a time | one true value | one per investor |
| Built from | all investors’ trades | expected cash flows, discounted | an investor’s own analysis |
Price is a fact; value is an estimate. Learning Module 4 valued a share as the present value of expected dividends plus a target price, and the next lesson generalizes that formula.
Three ways investors arrive at a perceived value
An investor can use a story, a comparison with peers, or a forecast of cash flows.
Naive or story-based valuation rests on a narrative about a company that is not tied to any in-depth economic or financial analysis. It drives meme stocks , shares whose buyers are swayed mainly by social media posts, and cult companies , which are bought out of loyalty to a product rather than expected performance. It can also feed market bubbles that push a company, a sector or a whole market too high or too low. A story can turn out right; it is just not built on analysis.
Relative valuation uses indicators such as the price-to-earnings (P/E) ratio or the price-to-book (P/B) ratio, compared with a relevant peer group. The share looks over- or undervalued against that group. The indicators must suit the company and be calculated the same way for every peer.
Absolute valuation , also called fundamental valuation, estimates intrinsic value from expected cash flows, as in Learning Module 4. It can take the view of the whole firm (all lenders and shareholders, which Lesson 3 of this module comes back to through enterprise value) or the view of the shareholders only, through the share price.
- Naive or story-based Memorize a narrative, no deep analysis; meme stocks, cult companies, bubbles
- Relative Memorize multiples against a peer group, such as price-to-earnings (P/E) or price-to-book (P/B)
- Absolute or fundamental Memorize present value of expected cash flows
A well-built model aims to strip out the individual biases that push prices around, and analysts usually use more than one approach.
Here is how the approaches can collide. Voltrek, a small electric scooter maker, posts losses. Forum posts about a coming “revolution” send its share price up fivefold in a month while trading volume explodes. Funds that value it on cash flows or against peers call it overvalued, and some sell short and lose money as the price keeps rising. Voltrek’s managers use the high price to sell new shares and pay off debt. Perceived values diverged wildly, and the issuer acted on the gap too.
Undervalued, overvalued or fairly valued?
Compare the market price with your estimate of intrinsic value. If , the share is undervalued . If , it is overvalued . If , it is fairly valued .
Investors buy or add to an undervalued share and sell or cut an overvalued one. They aim to beat the required return on equity, , on the assumption that the price-to-value gap narrows over the holding period.
Issuers act on the same gap. A company that thinks its shares are undervalued tends to buy them back, and one that thinks they are overvalued tends to issue new shares.
| Situation | Investor action | Issuer action |
|---|---|---|
| Undervalued (value above price) | buy; increase exposure | repurchase shares |
| Overvalued (price above value) | sell; decrease exposure | issue new shares |
| Fairly valued | no change | neither |
- Undervalued Memorize P_t below IV_t; investors buy, the issuer buys back shares
- Fairly valued Memorize P_t about equal to IV_t; no action
- Overvalued Memorize P_t above IV_t; investors sell, the issuer issues shares
Exam tip Value above price is cheap, so it is the company’s moment to buy back its own shares, not to issue them.
What return do you expect if the price converges?
If the price closes the gap during the holding period, a share that pays no dividend earns the gap, measured against the price you paid.
An analyst estimates the intrinsic value of a share that pays no dividend at 62.40. It trades at 52.00. If the price converges to the analyst's value over the holding period, the holding period return is closest to:
(62.40 − 52.00) ÷ 52.00 = 20.00%
Expected return if the gap closes, r20.00%
- 62.4−52=÷52=0.2, so 20.00%
- 62.4ENTER52−52÷0.2
ENTER enter (on the HP, puts the number on the stack)
The return may not arrive. The model may have misread information or carried the analyst’s own biases, so the value was too high. Or bad news about the company may arrive during the holding period.
Exam tip Divide by the price you pay, not by the value: 10.40 ÷ 62.40 = 16.67% is the trap.
Why are some shares harder to value?
The less predictable the cash flows, the more estimates spread out. Harder-to-value shares are those with rapid growth, cyclical profits or big changes under way, such as a young biotech or a memory-chip maker. Easier shares have stable, predictable growth and regular cash dividends, such as a regional water utility.
Estimates diverge more for harder-to-value shares. Whether investors act depends on how convinced they are of their estimate together with how far it is from the price. Wider divergence means more room for gains and for losses.
Ranges and scenarios
Because prices move and information changes, analysts work with ranges for both (the recent high and low) and (several methods, or one method with different inputs).
Scenario analysis combines a base case with more favorable (bullish) and more adverse (bearish) outcomes. The probabilities are the analyst’s judgment, and is the expected share price under scenario .
Learning Module 8 builds full probability-weighted scenarios from forecasts.
Reading a floating bar (football field) chart
The synthesis-of-valuation approach sets the value ranges from one or more methods beside the share’s recent trading range. Drawn as horizontal bars on one price axis, this is a floating bar valuation chart , also called a football field chart.
Reading rules:
- The whole value range above the trading range: undervalued.
- The whole value range below the trading range: overvalued.
- Large overlap: fairly valued, or no clear verdict.
An overlap of a few cents does not rescue a verdict: if almost all of the trading range sits above the value range, the share is overvalued.
Harlow Leisure traded between GBP 41.00 and GBP 50.00 over the past year, and the analyst’s value range is GBP 52.00 to GBP 64.00. Even the most cautious value is above the highest recent price, so the share is undervalued. If the value range were 44.00 to 58.00, most of the trading range would sit inside it, and there would be no clear verdict.
Try this 0 of 3
- Price vs value: make the issuer's best move "issue new shares"
- Scenarios: shift probability to the bear case until the expected return turns negative
- Ranges: make the ranges overlap so the chart gives no clear verdict
Pₜ < IVₜ. The share costs less than it is worth. Acting on it assumes the price converges to value over the holding period; the gain is measured against the price you pay.
Show working
Expected return if the price converges = (IVₜ − Pₜ) ÷ Pₜ = (62.40 − 52.00) ÷ 52.00 = 10.40 ÷ 52.00 = 20.00%
Trap: dividing by the value gives 10.40 ÷ 62.40 = 16.67%. You pay the price, so the price goes underneath.
- 62.4−52=÷52=0.2000
- 62.4ENTER52−52÷0.2000
ENTER enter (on the HP, puts the number on the stack)
The next lesson extends the chart to several models at once.
Go deeper A correct estimate can still lose money
A value estimate can be right and the price can still stay away from it for years. If your horizon is short, you bear the cost of waiting. That is why investors care about what might make the market change its mind, such as a results announcement.
Go deeper Why value can change while you hold the share
Intrinsic value is an estimate made with today’s information. New information about the company changes the analyst’s estimate and can change the true value as well. A valuation is a dated opinion.
Memorize this
MemorizePrice against value
| Comparison | Verdict | Investor | Issuer |
|---|---|---|---|
| undervalued | buy, add exposure | repurchase shares | |
| overvalued | sell, cut exposure | issue new shares | |
| fairly valued | no change | neither |
Memory hook Cheap: the company buys back. Dear: the company sells new shares.
Know it cold Expected return if the gap closes : divide by the price.
MemorizePerceived value and ranges
| Approach | Built on |
|---|---|
| Naive or story-based | a narrative, no deep analysis (meme stocks, cult companies, bubbles) |
| Relative | multiples against peers (price-to-earnings, price-to-book) |
| Absolute or fundamental | present value of expected cash flows |
Memory hook Story, peers, cash flows.
Know it cold . Value range wholly above the trading range: undervalued; wholly below: overvalued; overlapping: fairly valued or unclear.
- Naive or story-based Memorize a narrative, no deep analysis; meme stocks, cult companies, bubbles
- Relative Memorize multiples against a peer group, such as price-to-earnings (P/E) or price-to-book (P/B)
- Absolute or fundamental Memorize present value of expected cash flows
- Undervalued Memorize P_t below IV_t; investors buy, the issuer buys back shares
- Fairly valued Memorize P_t about equal to IV_t; no action
- Overvalued Memorize P_t above IV_t; investors sell, the issuer issues shares
Quick example
A share that pays no dividend is valued at 62.40 and trades at 52.00. (62.40 − 52.00) ÷ 52.00 = 20.00%. Divide by the price paid, not by the value (16.67% is the trap).
- 62.4−52=÷52= 0.2000
- 62.4ENTER52−52÷ 0.2000
ENTER enter (on the HP, puts the number on the stack)
Quick example
Bear 38.00 (25%), base 50.00 (50%), bull 66.00 (25%): 9.50 + 25.00 + 16.50 = 51.00.
- (0.25×38)+(0.5×50)+(0.25×66)= 51.00
- 0.25ENTER38×0.5ENTER50×+0.25ENTER66×+ 51.00
ENTER enter (on the HP, puts the number on the stack)
How it is asked
-
Value and price given
Value EUR 62.40, price 52.00, no dividend. Verdict and return if the gap closes?
: undervalued; 10.40 ÷ 52.00 = 20.00%. Trap: dividing by value, 16.67%.
-
Two ranges
Value range 52 to 64; recent trading range 41 to 50.
Whole value range above the prices: undervalued. Mostly overlapping ranges: fairly valued or unclear.
-
Scenario weights
Bear 38 (25%), base 50 (50%), bull 66 (25%).
9.50 + 25.00 + 16.50 = 51.00. Traps: the base case alone (50.00), equal weights (51.33).
-
Who does what
Management thinks its shares are overvalued.
Issue new shares; investors who agree sell. Undervalued: buy back. Trap: buying back an overvalued share.
Exam traps
- Reversing the rule. Price below intrinsic value means undervalued, not overvalued.
- Dividing the expected gain by value instead of by the price paid.
- Ignoring the given probabilities: using the base case alone or equal weights.
- Having the issuer buy back overvalued shares. It issues shares when price is above value and buys them back when price is below.
- Treating the market price as intrinsic value. Price is observed; intrinsic value is not, and the two can differ for long periods.
- Calling meme stocks undervalued or thinly traded. They trade heavily and tend to run far above value.
Checkpoint
5 exam-style questions. About 90 seconds each.
1An analyst estimates a share's intrinsic value at USD 30.00. It trades at USD 33.60. The share is most likely:
2An analyst values a share that pays no dividend at GBP 9.10. It trades at GBP 7.40. If the price converges to the analyst's value over the holding period, the holding period return is closest to:
3An analyst sets three end-of-horizon scenarios for a share trading at CHF 84.00: bear CHF 72.00 with probability 30%, base CHF 90.00 with probability 50%, and bull CHF 115.00 with probability 20%. The share's probability-weighted intrinsic value is closest to:
4An investor buys shares of a sportswear brand because she loves its products and fans in online forums say it will be the next big success. She has not looked at its accounts or at competitors. Her estimate of the shares' worth is best described as based on:
5An analyst is confident that her value estimate for a share is well above its market price, and the gap is far wider than her model's margin of error. Before she recommends buying, she should most need to be confident that:
Key takeaways
- Market price is observed and blends all investors' differing expectations; intrinsic value cannot be observed; each investor holds a perceived value.
- Price below value: undervalued (investors buy, the issuer buys back). Price above value: overvalued (investors sell, the issuer issues shares). About equal: fairly valued.
- Expected return if the gap closes = (IV_t − P_t) ÷ P_t.
- Work with ranges: scenario values are probability-weighted prices, and floating bar charts set value ranges against the trading range.
Quick example
A share that pays no dividend is valued at 62.40 and trades at 52.00. (62.40 − 52.00) ÷ 52.00 = 20.00%. Divide by the price paid, not by the value (16.67% is the trap).
- 62.4−52=÷52= 0.2000
- 62.4ENTER52−52÷ 0.2000
ENTER enter (on the HP, puts the number on the stack)
Quick example
Bear 38.00 (25%), base 50.00 (50%), bull 66.00 (25%): 9.50 + 25.00 + 16.50 = 51.00.
- (0.25×38)+(0.5×50)+(0.25×66)= 51.00
- 0.25ENTER38×0.5ENTER50×+0.25ENTER66×+ 51.00
ENTER enter (on the HP, puts the number on the stack)
All Equities formulas, every lesson
Practice exam-style questions on Introduction to Equity Valuation
Questions about this lesson?
Where this comes back
- Equity valuation models: present value, asset-based and relative Introduction to Equity Valuation
- Scenario analysis with probability weights Financial Statement Forecasting
Questions candidates ask
What is the difference between price and value of a stock in CFA Level 1?
Price is the observed market price at which the share trades, reflecting all investors' differing expectations. Intrinsic value is the unobservable true present value of the share's expected cash flows. A share is undervalued when its price is below intrinsic value and overvalued when above.
What is perceived value?
An investor's own estimate of a share's intrinsic value. Investors reach it by a story (naive valuation), by comparison with peers (relative valuation) or by discounting expected cash flows (absolute valuation), so perceived values can differ widely.
How do you calculate a probability-weighted scenario value?
Multiply each scenario's expected share price by its probability and add the results. Bear 38 at 25%, base 50 at 50% and bull 66 at 25% give 9.50 + 25.00 + 16.50 = 51.00.
What is a football field valuation chart?
A floating bar chart that lines up the value ranges from one or more methods against the share's recent trading range. Value ranges above the trading range point to an undervalued share; below, overvalued.
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