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Day 1 of 5

Value and Capital Allocation

How can a company know whether an investment will create value?

Estimated time: 25 minutes

Today you will learn to
  • identify relevant cash flows
  • understand the logic of NPV
  • distinguish value creation from accounting profit
  • recognize the value of keeping future options open
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Chinese

Grey Harbor Ledger: A Finance Fable

English

True Cost of Capital

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The Second Navigation Table

01

Opening story or business situation

The Grey Harbor Merchant Guild decided to build a great ship. The shipbuilder named it the North Star. He said it could carry the cargo of three earlier ships; if the northern route remained prosperous, timber, iron ore, and grain would bring back a mountain of silver within five years.

He put the forecast on a large sheet: build in year one, sail in year two, earn from year three, recover the investment in year four, and let silver flow into Grey Harbor from year five onward. The merchants were thrilled. “If it will earn so much later, why not begin at once?” Only Eli, the old accountant, did not raise his hand. He rolled up the sheet and returned it to the shipbuilder. “This table shows what the ship looks like after it has succeeded.” “Is that not enough?” “No. Tomorrow I will bring a second navigation table.”

The next morning, Eli laid an old parchment on the guild’s long table. There was no mountain of silver, no “total revenue,” and no “total profit.” It had only two columns: do not build the North Star, and build the North Star.

Eli first crossed out last year’s exploration cost. A young merchant asked, “Wasn’t that spent for the North Star?” “Yes.” “Then why not count it?” “Because whether we build today or not, it cannot be recovered.” Then Eli added the income the old dockyard would have earned repairing other ships. The shipbuilder frowned. “We never actually pay that money.” Eli replied, “Once we use the dockyard, we give that income up. Not taking coins out of a purse does not mean there is no cost.”

He placed timber, crew wages, port fees, repairs, inventory tied up, and the possible resale value of the old hull into the years in which they would truly occur. Then he tapped the table. “Do not ask how many coins the ship brings in altogether. Ask what Grey Harbor truly gains and loses because it builds it.” The merchants fell quiet. A project was not to be judged by a story or total revenue, but by the cash it actually changed.

Eli took out five silver coins. One lay before him, the other four farther down the table. “Do these coins look the same?” “Of course.” Eli shook his head. “The nearest can buy timber today. The farthest arrives in five years, after storms, war, falling prices, or cancelled orders.” He replaced the farthest silver coin with a smaller copper one. “A promised future coin cannot simply be added to a coin in hand. It has to travel through time and risk to reach today.” He brought each expected annual cash flow back to the present.

The shipbuilder studied the calculation. “Could we use a lower number to bring it back? Then the North Star would be worth more.” Eli answered, “If changing the length of the ruler can turn a short ship into a long one, Grey Harbor no longer needs shipbuilders. The return capital requires should not be chosen because we want the project to pass.”

At a reasonable required return, the North Star still created more value than it required. The merchants cheered again. “Then may we start?” Eli still did not sign.

On the third day, his table showed no value, only dates: March, pay for timber; June, pay the shipyard; September, pay port and insurance; January next year, repay the first loan; only in the following summer might the North Star complete its first voyage. Eli placed a red stone in the next winter. “What happens here?” the merchants asked. “The purse is empty.” “But the ship can make money.” “Yes.” “Then why is the purse empty?” “Because it earns too late.”

Eli looked around the room. “A ship may eventually bring silver home, yet the guild may not survive until it returns.” A creditor stood up at once. He offered a loan large enough to build the ship: interest each year, principal repaid on schedule whether the ship returned or not, a minimum treasury balance, and rights to take part of the docks if the covenant was broken.

Eli said, “Borrowing lets us use tomorrow’s money today; it also lets tomorrow claim the right to collect from us.” A wealthy merchant offered equity instead. “I require no fixed repayment.” Then he added, “But for every ten coins the North Star earns, I take four. Major route decisions also need my approval.” Eli nodded. “No fixed repayment does not mean no cost. Debt demands certain payment; equity claims future return and part of control.” The guild understood that financing was not simply a search for the cheapest money. The question was: what kind of money lets the guild live until the North Star creates value?

The debate lasted three days. Some wanted the largest ship at once; others wanted to abandon the plan. Eli offered a third path. “Do not build the largest ship first.” Build a smaller, independently operating standard ship for customers already under contract. Use it to test the northern route, actual costs, and demand. If the first cargo arrives on time, cash returns, and orders reach agreed levels, then approve the larger North Star.

“If you believe in it, why not finish it all at once?” someone asked. Eli replied, “What we do not know today may become clear after the first ship returns. Investing only part of the money is not a lack of courage. It is paying fewer coins for the right to make a wiser later decision.” It was not surrender but a trial voyage: stage the investment and retain a real option.

Once building began, merchants worried about the prices of timber, ore, grain, and foreign currency. A young merchant proposed fixing every price for five years. Eli brought the cargo already under contract to the square and placed a shield beside each batch. “These goods exist. Price changes affect the cash they bring home, so they can be protected.”

Then he pointed to the empty half of the square. “There are no goods here—only quantities you hope to sell. If you fix a price for goods that do not exist and orders never arrive, the shield becomes a new enemy.” “What counts as real protection?” “The protection must follow the goods: the quantity, the timing, and the currency of settlement. A shield for real goods is protection. A shield without goods is gambling.”

“With so many risks, should we transfer them all to banks and insurers?” Eli pointed to the captains in the harbor. “Wind and prices can partly be transferred. But choosing the ship, the customer, the route, and how to run the crew cannot all be handed to someone else. If the guild refuses every risk where it creates value, it has no reason to exist.” They protected exposures that could destroy the cash plan and where they had no special judgment; ship design, customers, service, and operations remained their responsibility.

As the plan neared approval, Eli put the tables away and opened a sea chart Grey Harbor had never used. It showed not only the North Star but the guild’s three existing ships: one carried timber, one ore, one grain. “We are diversified,” the merchants said. “Different ships, goods, and customers.”

Eli traced their routes backward. They left from different docks but all passed through the northern Blackstone Strait; they served different customers but depended on the same northern bank for short-term funding; they carried different goods but needed the same experienced pilots. Worse, all three debts matured in the same winter. Eli pressed a finger to the strait. “You think you have bet on three ships. In fact, you have put three purses on the same north wind.”

The Blackstone Strait was the shortest and cheapest route. It had never truly closed. The merchants saw no need to pay for a rare disruption. Eli pointed south, to a longer route through unfamiliar ports. “Every southern voyage costs fifty more silver coins,” said the shipbuilder. “Those fifty coins do not buy higher profit,” Eli replied. “They buy the ability to act when the north is closed.”

The guild did not move every ship south. Most cargo still used the cheaper northern route, but every month a small vessel—the Lantern—went south. It carried little and sometimes made no profit, but it kept contracts, berths, warehouses, insurance, and customs documents alive. Its crew learned the reefs; southern carriers learned how to handle Grey Harbor’s freight. The southern port also promised that capacity could expand within weeks if the northern route broke.

Merchants sometimes complained, “Why pay every year for a small ship that makes no money?” Eli always answered, “A road never travelled is not a fallback road.”

Five years later, war closed the Blackstone Strait overnight. Other merchants began looking for the southern route and found berths full, insurance three times as expensive, documents requiring months, and crews unable to navigate the reefs. A road existed on the map, but no one could immediately use it.

Grey Harbor activated its contingency the next day. The Lantern grew first to three ships, then five, then ten. Six weeks after the north closed, the south carried most critical orders. The guild still lost coins: the route was farther, more costly, and could not replace the north at once. But the shipyard stayed open, debt was not breached, and customers did not all leave.

At the southern port, a young merchant watched the Grey Harbor flags arrive and told Eli, “The fifty coins we paid were not for the cargo the Lantern normally carried.” Eli nodded. “They bought a capability.” “Which capability?” “To move when others are trapped; to turn a small road into a main road when the old road closes.”

“If the south matters so much, why not send every ship there from the beginning?” Eli looked into the distance. “Risk management is not always choosing the most expensive, safest path. If we live every day as if it were the worst day, costs may destroy the guild before the storm arrives. The danger is not travelling north. The danger is that every ship can travel only north.”

After the war, the guild met again. No one first asked, “How much will it earn?” Eli laid out four wooden stamps: build, trial voyage, wait, and abandon.

“Stamp ‘build’ when value, cash, financing, and risk conditions are met. Stamp ‘trial voyage’ when the direction may be right but important questions remain. Stamp ‘wait’ when the ship is worth building but money, crew, or a safe route is not yet available. Stamp ‘abandon’ when it cannot create value or exposes the whole guild to risk it cannot bear.”

“Which stamp is bravest?” someone asked. Eli replied, “Putting down the right stamp at the right time is courage. A trial is not timidity: it is stage. Waiting is not abandonment: it is delay. Abandoning is not always failure: it protects the guild when a key assumption breaks.”

The guild did not approve the original giant North Star. It approved a smaller trial ship, funding and price protection for contracted cargo, and the continuing southern Lantern. The North Star could enter its next stage only when orders, cash, cost, and routes met conditions written in advance.

Years later, Eli’s second navigation table hung in the meeting room. At the top it read: Do not only ask how many coins a ship will ultimately bring home. Ask which cash it truly changes, whether the company can live until it returns, which risks are worth carrying, and whether the whole fleet can be overturned by the same wind.

At the bottom were three lines:

A shield for real goods is protection; a shield without goods is gambling.

A road never travelled is not a fallback road.

The danger is not travelling north; it is when every ship can travel only north.

02

The decision problem

03

Core concepts

Cash flow

identify relevant cash flows

Why it matters

Which cash flows would change only if the company accepts this project?

NPV

understand the logic of NPV

Why it matters

Which assumption would most quickly change your recommendation?

Cost of capital

distinguish value creation from accounting profit

Why it matters

Which cash flows would change only if the company accepts this project?

Real options

recognize the value of keeping future options open

Why it matters

Which assumption would most quickly change your recommendation?

04

Visual framework

01Begin with a business situation
02Reveal the financial logic
03Connect the idea to a practical framework
04Apply it through reflection and decision questions

Five-step knowledge chain | Reading a project as a company decision

See what the project changes → decide whether those changes create value → check whether the company can survive until cash arrives → manage risks that can break that path → only then recommend invest, stage, delay, or reject.

01Keep only cash that happens because of the project

Compare the future with and without the project. The difference is incremental cash flow. Unrecoverable research spending is sunk; but occupied facilities, lost rental income, inventory, and receivables required for delivery belong on the cash timetable.

02Put cash from different dates on one table

Today’s euro and an euro five years from now cannot simply be added. Discount future cash at a risk-appropriate required return. A positive NPV under that rate says the project creates value under current assumptions; lowering the rate merely to pass the project changes the ruler, not the project.

03Once value exists, ask whether the company survives to realise it

A positive NPV does not prevent a cash shortfall. Put equipment, inventory, wages, interest, and customer payment on one timeline; examine minimum cash, covenant headroom, and refinancing. Debt brings fixed payments and constraints; equity brings more buffer but shares return and control. Staging, delaying expansion, or keeping exit rights retain a real option for a wiser later decision.

04Protect the funding path, not every fluctuation

Risk management prevents a bad scenario from cutting cash and financing at the critical point. Customer, product, technology, and operating risk are often core risks that create return and must be managed internally. Interest rate, currency, or commodity exposures without special advantage may be hedged at reasonable cost. A hedge without a real exposure is speculation.

05Put the project back into the whole portfolio

A good standalone project may share a customer, currency, supplier, or financing channel with existing business. A recommendation must state its value basis, funding path, residual risk, and the threshold that changes the decision before it can be executed by management.

05

Practical example

Business example

Test whether a new product, channel, or AI tool truly creates value before deciding to invest, trial, wait, or walk away.

06

Common misunderstanding

07

Key takeaways

  • identify relevant cash flows
  • understand the logic of NPV
  • distinguish value creation from accounting profit
  • recognize the value of keeping future options open

08

Knowledge check

How can a company know whether an investment will create value?

09

Reference notes

  1. Berk, Jonathan, Peter DeMarzo & Jarrad Harford (2025). Fundamentals of Corporate Finance, 6th Global Edition.

    Pearson; ISBN 9781292470047. Assigned range: Ch. 1 §§1.3–1.5; Ch. 3 §§3.3–3.4; Ch. 4; Ch. 6 §§6.1–6.2; Ch. 7 §7.1; Chs. 10, 20, and 21.

    Supports the basic judgements on incremental cash flow, discounting, NPV, debt and equity, liquidity, risk–return, diversification, and real options.

  2. Stulz, René M. (1996). “Rethinking Risk Management.” Journal of Applied Corporate Finance, 9(3), 8–24.

    Corporate risk-management article.

    Supports the case for protecting investment capacity and the boundary between core risk, non-core exposure, hedging, and speculation.

  3. Nocco, Brian W. & René M. Stulz (2006). “Enterprise Risk Management: Theory and Practice.”

    Enterprise-risk-management theory and practice article.

    Supports the enterprise view: project portfolios, concentration, financing capacity, and capital allocation cannot be judged one project at a time.