When is waiting or staging an investment worth more than committing now?
A staged-investment tree and a decision trigger.
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23 / OpeningReal options & staged commitments
The decision and the learning goals
Identify an actionable future choice
Compare an immediate commitment with a staged path
Explain the cost of waiting as well as its potential value
90-minute workshopOpening 5 minConcepts and original examples 35 minPractice 25 minDebrief 15 minReview 10 min
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23 / TheoryReal options & staged commitments
Managerial flexibility changes the cash-flow decision
A static investment calculation assumes a specified commitment and subsequent cash flows. A real option gives management a future choice, such as waiting, expanding or abandoning. The future action can depend on information that arrives after the first commitment.
The original note uses project examples and payoff diagrams to show the asymmetry. Management can decline an unattractive later investment while retaining the ability to proceed in a favorable state. Value depends on the flexibility actually existing, the information arriving in time and the costs of preserving the choice.
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23 / TheoryReal options & staged commitments
A staged project can avoid the unfavorable branch
Consider a teaching example with no discounting or delay cost. Investing 80 immediately yields 140 in a high state and 40 in a low state, each with probability one-half. Expected net value is one-half of 60 plus one-half of negative 40, or 10.
A test costing 10 reveals the state before the investment. Invest only in the high state. Expected net value is −10 + 0.5 × 60 + 0.5 × 0 = 20. The increase comes from avoiding the low-state commitment, after paying for information.
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23 / TheoryReal options & staged commitments
A static commitment and a future choice
A static analysis commits to a specified action now. A staged analysis includes the ability to select a later action after observing information.
Static comparison
Values cash flows for a specified course of action.
Managerial flexibility
Allows a later decision to change after information arrives; the choice can alter future cash flows.
Worked application
Illustrative application: building the whole facility immediately incurs its cost in every outcome. Testing first incurs a smaller cost now and the facility cost only in branches where the later evidence justifies building. Include failure branches and test expense when comparing the plans.
The option is the ability to respond, not simply the act of postponing a payment.
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23 / TheoryReal options & staged commitments
Common real options
Option
Managerial action
Important constraint
Wait
Delay a commitment while learning.
Competition, timing or opportunity loss.
Expand
Invest more after a useful signal.
Future capacity, capital and rights.
Abandon or contract
Limit exposure if conditions deteriorate.
Exit costs and obligations.
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23 / TheoryReal options & staged commitments
A staged-investment decision
Illustrative, zero-discount example: a $10 test reveals a high or low state before an optional $80 investment.
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23 / TheoryReal options & staged commitments
Commit immediately: a toy comparison
0.5 × $140 + 0.5 × $40 − $80 = $10
Assumptions
Two equally likely states; no discounting; payoffs measured on the same basis.
Immediate commitment
The $80 is spent before the state is known.
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23 / TheoryReal options & staged commitments
A learning experiment and a financial option
A learning experiment supplies information. An option supplies the ability to choose a later action. They often reinforce each other, but information is not valuable for the decision if no action can change after it arrives.
The source note also introduces option-pricing reasoning. A probability used for a risk-neutral valuation is a pricing device under the model’s assumptions and should not automatically be read as management’s forecast probability. A decision tree using real-world expected cash flows needs a consistent treatment of risk.
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23 / TheoryReal options & staged commitments
A milestone can be the exercise point of an option
A milestone should identify the evidence available when the next commitment is due. Define the favorable, unfavorable and ambiguous outcomes and the actions feasible in each. Include the resources needed to maintain the option until that date.
Waiting has a cost when competitors move, capacity disappears or the market window narrows. Staging can also increase total cost if repeated setup is required. Compare the benefit of adapting to information with these costs rather than treating flexibility as automatically valuable.
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23 / TheoryReal options & staged commitments
Test, then choose
0.5 × ($140 − $80) + 0.5 × $0 − $10 = $20
High state
Invest; receive a net $60.
Low state
Do not invest; receive $0 from the project.
Test cost
Pay $10 in either state.
The staged path is worth $20 versus $10 in this simplified model.
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23 / Deep diveReal options & staged commitments
When the test is noisy
The $20 staged value assumes a perfect test. A test that is right 80% of the time is worth no more than its $10 cost.
Same toy model: invest $80 for $140 or $40 with equal odds. The test now gives a good or bad signal that is correct 80% of the time, so each signal occurs half the time.
After a good signal the high state has probability 0.8: investing is worth 0.8 x 60 + 0.2 x (-40) = +$40. After a bad signal it is 0.2 x 60 + 0.8 x (-40) = -$20, so the investor stops. Staged value = -10 + 0.5 x 40 + 0.5 x 0 = $10, equal to committing now.
Accuracy, not the existence of a test, drives the value. Before paying for a pilot, ask how often its result would be wrong and what each error costs.
Policy
Calculation
Expected net value
Commit now
0.5 x 60 + 0.5 x (-40)
$10
Perfect test, then choose
-10 + 0.5 x 60
$20
80%-accurate test, then choose
-10 + 0.5 x 40
$10
Relay's version: a 10-week, 3-clinic pilot is a small sample. If week-to-week fill rates vary widely, a 30% threshold can be cleared by luck, and the pilot's value falls toward zero.
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23 / TheoryReal options & staged commitments
The flexibility must really exist
Can the later investment be declined?
Does the test reveal information useful for that choice?
Will the opportunity remain available after the test?
Are the waiting cost, time value and competitive response included?
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23 / TheoryReal options & staged commitments
Learning and waiting
Time passing and information improving are separate mechanisms. A delay can preserve flexibility, but it can also consume cash or allow an opportunity to disappear.
Useful learning
Changes a future decision enough to justify its cost.
Indefinite delay
Can destroy value if it consumes cash, loses an opportunity or never resolves the important uncertainty.
Worked application
Illustrative application: a field trial may reveal whether a device meets operating requirements. Waiting three months without collecting relevant evidence may reveal little. The staged decision should include information quality, test cost, delay cost and the possibility that access or terms change.
Specify what becomes known during the delay and which later action can change because of it.
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23 / TheoryReal options & staged commitments
A milestone is a decision trigger
A real option exists when new information can change a later commitment. Design the milestone around a decision that the team can still choose to defer, change or stop.
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Uncertainty
Identify what could change the investment decision. Example: whether the prototype can meet the buyer’s required performance in the actual operating environment.
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Limited commitment
Spend a bounded amount on a test that can reveal that information. Include the time cost and specify what the test represents. A laboratory result may leave deployment uncertainty unresolved.
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Review condition
Agree how different findings affect the decision. Passing a threshold may justify the next stage; an ambiguous result may call for redesign only if another test is worth its cost.
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Exercise the choice
Continue, revise, defer or stop while the choice remains available. Include the larger investment only in branches where it is made and include the test cost in the overall comparison.
Learning creates option value only if the future action can respond to it. A milestone with automatic funding regardless of the result does not provide the same flexibility.
An investment opportunity can include a valuable choice about later action. A valuation must represent how management can respond to new information, including the ability to avoid an unattractive commitment.
A static plan fixes future action
The opening motel example first values a commitment that proceeds under both favorable and unfavorable outcomes.
Waiting can change the choice
The alternative lets management observe demand before deciding whether to build. The later investment occurs only in the branch where it is worthwhile.
Flexibility changes the payoff
The option allows participation in an attractive outcome while leaving some unfavorable outcomes unchosen. That asymmetry changes the opportunity’s value.
The analogy has inputs
The note connects financial option concepts to real decisions. Exercise cost, time, uncertainty and the underlying opportunity help describe the choice.
Management needs a real ability to defer, expand, stop or change the commitment. Contractual or competitive constraints can remove that freedom.
Learning can have costs
Include test expense, delay, lost cash flows and the possibility that the opportunity disappears. Waiting does not automatically create value.
Avoid a double count
Compare complete alternative policies with consistent timing and risk assumptions. Do not add a generic “strategic premium” to cash flows that already represent flexible action.
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23 / ApplicationReal options & staged commitments
The value of avoiding a bad commitment
The Real Options reading examines managerial flexibility that a passive cash-flow plan can miss. A later choice can limit downside or preserve upside, but it has value only if the choice is actionable and the cost of keeping it open is understood.
What makes a pilot a real option rather than merely a smaller expense?
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23 / PracticeReal options & staged commitments
Compare commitment and a test
Use the toy packet: invest $80 before uncertainty resolves; future payoff is $140 or $40 with equal probability. A $10 test perfectly reveals the state before the investment. Assume no timing cost, no discounting and no loss of access.
Your task
Calculate both paths. Then change one idealized assumption and explain how the conclusion could change.
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23 / DebriefReal options & staged commitments
Worked answer and reasoning
Immediate expected value is $10; test-then-invest expected value is $20 under the stated assumptions.
The test changes the later action: invest only in the high state.
Imperfect information, a higher test cost, delay or competitive loss could reduce or eliminate that advantage.
Venture step: Pilot the second EHR before building it
Relay · venture step 23
Relay's NPV of a deep integration with a second EHR ($300k now, $150k/year incremental gross profit for 3 years) was +$15.97k at 20% and -$27.58k at 30%. The $150k is an average of two illustrative, equally likely states: clinics on the second EHR fill gaps like Relay's core base ($240k/year), or the vendor's API limits (batch-only slot updates) cap fill rates ($60k/year). Daniel proposes an $80,000 pilot integration at 3 clinics over 10 weeks, scaling only if fill rates clear a threshold.
Your task
Draw the commit-now versus pilot-first decision tree at 20% and 30%. State the fill-rate threshold that triggers the full build, the most Relay should pay for the pilot, and one fact that would make committing now the better choice.
Branch values at 20% (3-year annuity factor 2.1065): high = -300 + 240 x 2.1065 = +$205.56k; low = -300 + 60 x 2.1065 = -$173.61k. Commit now = 0.5 x 205.56 + 0.5 x (-173.61) = +$15.97k, matching the L21 NPV.
Pilot first, assuming the pilot reveals the state and does not delay the build's cash flows: -80 + 0.5 x 205.56 + 0.5 x 0 = +$22.78k, a gain of $6.81k. A perfect pilot is worth at most 0.5 x 173.61 = $86.81k (the expected loss it avoids), so $80k leaves a thin margin.
Sensitivities: if pilot code is reusable and cuts the full build to $240k, staged value = -80 + 0.5 x 265.56 = +$52.78k. If the pilot pushes high-branch cash flows back one year, staged value = -80 + 0.5 x 205.56 / 1.2 = +$5.65k, below committing now.
At 30%: commit = -$27.58k; pilot first = -80 + 0.5 x 135.87 = -$12.07k. Both lose to doing nothing ($0). Only with reuse (-80 + 0.5 x 195.87 = +$17.93k) does the staged path clear the higher hurdle.
Trigger (illustrative): build only if pilot clinics fill at least 30% of late-cancellation gaps over 10 weeks (core clinics fill about 40%; the phone-tree status quo 10-15%) and the EHR vendor's terms permit production use. Set the threshold before the pilot; a 20-30% result funds one targeted fix, not the full build.
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23 / DebriefReal options & staged commitments
Reasoning traps
Pilot cost booked only in the winning branch
The $80k is spent whether the pilot succeeds or fails. Leaving it out of the low branch inflates Relay's staged value from +$22.78k to +$62.78k.
Ignoring the delay the pilot creates
If the pilot pushes the high-branch cash flows back a year, the staged value falls to +$5.65k, below committing now. Time value and competitive windows belong in the tree.
A pilot with no real exit
If hires, partner contracts or funding for the full build are locked before the pilot reads out, or the threshold is set after seeing results, there is no option, only a slower commitment.
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23 / ReviewReal options & staged commitments
What you can now explain
A two-branch decision tree for Relay's second-EHR integration at 20% and 30%, with a pre-set fill-rate trigger, the pilot's maximum justified cost, and the sensitivities that would flip the choice.
A pilot creates option value only when its result can change a later commitment that is still discretionary.
The most to pay for perfect information is the expected loss it lets you avoid; Relay's pilot is worth at most $86.81k at 20%.
Noise, delay and lost windows can erase the value of staging, so compare complete policies, including doing nothing.
Next lesson: Founders, equity splits & compensation
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Check your understanding
When is waiting or staging an investment worth more than committing now?
Score
Question 1
Relay's second-EHR integration has two equally likely states with NPVs of +$205.56k and -$173.61k at 20%. An $80k pilot reveals the state before the $300k build, with no delay. What is the expected NPV of piloting first?
Pay $80k in every branch, build only in the high state: -80 + 0.5 x 205.56 = +$22.78k. +$102.78k forgets the pilot cost; -$64.03k charges the pilot on top of committing anyway, which removes the reason to pilot.
Question 2
Same tree, no delay. What is the most Relay should pay for a pilot that perfectly reveals the state before the build decision?
Value of information = value with the choice before paying for it (+$102.78k) minus commit now (+$15.97k) = $86.81k, which equals 0.5 x $173.61k, the expected loss avoided. $173.61k ignores that the low state occurs only half the time.
Question 3
Toy model: invest $80 to receive $140 or $40 with equal odds. A $10 test gives a good or bad signal that is correct 80% of the time. If you invest only after a good signal, what is the expected net value?
Good signal (probability 0.5): 0.8 x 60 + 0.2 x (-40) = +40, invest. Bad signal: 0.2 x 60 + 0.8 x (-40) = -20, skip. Value = -10 + 0.5 x 40 = $10, the same as committing now. Noise erased the perfect test's $20.
Question 4
The second EHR vendor's partner contract would oblige Relay to fund the full $300k build once any pilot starts, whatever the results. What is the pilot worth for the build decision?
Option value comes from the ability to act differently after learning. If the build is contractually compelled, the information cannot change the action. Negotiating the right to decline the build is worth more than improving the pilot.
Question 5
At a 30% required return, committing now is worth -$27.58k and piloting first -$12.07k (no code reuse). What should Relay do?
The relevant comparison includes doing nothing. A staged path that is less negative is still negative. With reusable pilot code the staged path becomes +$17.93k at 30%, so the decision depends on that engineering fact, not on staging alone.
Question 6
Relay's pilot-first plan is worth +$22.78k versus +$15.97k for committing now at 20%. Which development would most likely make committing now the better choice?
A cost of waiting (a lost channel or window) can exceed the value of learning. A more accurate pilot and reusable code both favor staging; a higher required return makes both paths negative rather than favoring commitment.
Workbook
When is waiting or staging an investment worth more than committing now?
Module output: A linked financial analysis, operating forecast, valuation and staged-investment decision.
Sources
Materials this lesson draws on
Original pages and full documents are in the Library edition.