# Hurdle rate and cost of capital

> What return a bet must beat, and why riskier bets need more.

- Course: [Finance for Product People: From Unit Economics to Business Cases](https://productovi.com/courses/finance-for-product.md)
- Module: Is this bet worth making?
- Lesson 23/32, ~27 min
- Source: https://productovi.com/courses/finance-for-product/hurdle-rate

## Where 25% comes from

**Alex Tutor:** You're still on Klasna's product team, and Leo has a question about the 25% rate.

**Leo:** Why do we discount at 25%? The bank lends us money at 16%. Use 16% and more of our ideas pass.

**Hanna:** The loan is only a quarter of our money. The other three quarters came from the founders and investors, who took a much bigger risk. They expect about 28% a year.

**Sofia:** So the rate is a mix of what the bank wants and what the owners want?

**Alex Tutor:** Exactly. Weight each source by its share: 25% × 16% + 75% × 28% = 4% + 21% = 25%. That is Klasna's **cost of capital**, often called WACC, the weighted average cost of capital.

$$
WACC = \frac{D}{D+E} \times r_D + \frac{E}{D+E} \times r_E = 0.25 \times 16\% + 0.75 \times 28\% = 25\%
$$

*D: debt (loans), E: equity (owners' money); r_D, r_E: what lenders and owners expect a year. Interest usually lowers tax, which trims the debt part; we leave taxes out here.*

**Alex Tutor:** A bet that earns less than 25% doesn't pay the people whose money it uses. Try a different mix.

> **Exercise:** Suppose Klasna were financed **40%** by loans at 16% and **60%** by owners expecting 28%, with the same rates. What would its weighted cost of capital be?

## Cheap debt isn't free

**Leo:** So we borrow more and everything gets cheaper!

**Alex Tutor:** The bank is paid first, in a good month or a bad July. The more debt, the riskier the owners' share becomes, so they ask for more than 28%. Part of the paper gain disappears.

**Hanna:** And the bank wants its repayment in August too, when our cash is at its lowest.

**Sofia:** So the 23.2% assumes the owners don't notice the extra risk.

**Alex Tutor:** Right. How much debt is healthy is a question for later. For now, the cost of capital is what all of the money costs, not the cheapest piece of it.

> **Exercise:** **True or false:** if Klasna takes on much more debt, the return its owners expect is likely to **rise**.

## One rate for every bet?

**Leo:** Fine, 25% then. For everything.

**Alex Tutor:** 25% is the return for Klasna's **average** risk. Bets aren't average. Cutting a known bill is safer than a new feature, and a new market is riskier still.

**Hanna:** So our policy has three **hurdle rates**, the minimum return a bet must beat: 25% for efficiency projects with known costs, 30% for product bets on current customers, 40% for new markets.

**Alex Tutor:** Before the table: sort a few bets by risk yourself.

> **Exercise:** Klasna's cost of capital, 25%, is the hurdle for bets of average risk with known costs. Which of these bets should face a hurdle **above** 25%? Select all that apply.

> **Klasna's hurdle rates**
>
> | Kind of bet | Example | Hurdle rate |
> |---|---|---|
> | Efficiency, known costs | Replacing a paid tool or vendor | 25% (the cost of capital) |
> | Product bet, current customers | Maths mock-exam mode | 30% |
> | New market | Klasna for Teams in Poland | 40% |
>
> The extra points over 25% pay for the extra risk of the bet, not for doubts about the forecast.

**Alex Tutor:** The mock-exam mode had an NPV of +161,280 at 25%. It's a product bet, so check it at 30%: −1,200,000, then 300,000, 600,000, 800,000, 800,000.

> **Exercise:** What is the **NPV** of the mock-exam mode at its 30% hurdle rate (−1,200,000 now; 300,000, 600,000, 800,000, 800,000 in years 1–4)?

## The new-market trap

**Leo:** Then look at Teams in Poland: 2,000,000 in, then 500,000, 900,000, 1,200,000 and 1,200,000. At 25% the NPV is +81,920. Approved?

**Alex Tutor:** At its own 40% hurdle the NPV is −433,985.84. Its IRR is 26.97%: above the company average, far below the risk of a new country, new sales and a new currency.

**Hanna:** With one rate for everything, risky bets look better than they are, safe ones look worse, and year by year the company drifts into risk without anyone deciding to.

**Sofia:** So the hurdle depends on the bet, not on who pays for it.

> **Exercise:** Teams in Poland has an IRR of 26.97%. Klasna's cost of capital is 25%, and its hurdle for new markets is 40%. What should Klasna decide?

## Don't pad the rate

**Leo:** Then let's use 40% for everything. Better safe than sorry.

**Alex Tutor:** Then good, safer bets fail too: the mock exams drop to −179,800.08 at 40%. A rate that is too high is as wrong as one that is too low; it just loses money more quietly.

**Hanna:** And never raise the rate because you don't trust a forecast. If the cash flows look rosy, fix them or test scenarios.

**Sofia:** The rate is for risk, the forecast is for the cash we expect.

**Hanna:** Here's the situation I meet every quarter.

> **Exercise:** Hanna doubts the mock-exam team's forecast of 800,000 UAH a year in years 3 and 4: it looks rosy. The bet is a product bet with a 30% hurdle. What should she do?

> **Exercise:** Match each rate to what it means at Klasna.

## Your turn: answer Leo

**Leo:** One more try: the bank gives us 16%. Why can't Poland be judged at 16%?

**Alex Tutor:** Show Leo what 16% would do to the numbers.

> **Exercise:** Teams in Poland: −2,000,000 UAH now, then 500,000, 900,000, 1,200,000 and 1,200,000 at the end of years 1–4. What would its **NPV** be if it were judged at the bank's **16%** loan rate? Round to two decimals.

**Sofia:** Because the loan pays for only a part of it, and Poland is the riskiest thing on the list.

**Hanna:** Put the numbers next to that, and he'll stop asking.

**Alex Tutor:** Three to five sentences: the cost of capital, the hurdle and why, and the NPV at each rate.

> **Exercise:** Leo asks: "The bank lends at 16%. Why can't we judge Teams in Poland at 16%?" Teams in Poland costs 2,000,000 UAH now and brings 500,000, 900,000, 1,200,000 and 1,200,000 in years 1–4: NPV +531,419.62 at 16%, +81,920 at 25% and −433,985.84 at 40%. Write a short reply (3–5 sentences) using Klasna's cost of capital, the hurdle for new markets and the NPVs.

> **Key ideas**
>
> - **Cost of capital (WACC)**: what all of the company's money costs, weighted by source: 25% × 16% (loans) + 75% × 28% (owners) = 25%.
> - More debt lowers the paper number (40% debt → 23.2%), but the owners' risk and the return they expect rise with it.
> - **Hurdle rate**: the minimum return a bet must beat, set by its risk: 25% for efficiency with known costs, 30% for product bets, 40% for new markets.
> - One rate for everything flatters risky bets: Teams in Poland shows NPV +81,920 at 25% but −433,985.84 at its 40% hurdle (IRR 26.97%).
> - A rate set too high kills good bets too (mock exams: +30,033.96 at 30%, −179,800.08 at 40%).
> - The rate prices risk; doubts about the forecast are fixed in the cash flows or with scenarios.

**Alex Tutor:** Next: the case. Build our own video classroom or keep paying per minute, with everything from this module.

- Previous lesson: [NPV, IRR and payback for a product bet](https://productovi.com/courses/finance-for-product/npv-irr-payback.md)
- Next lesson: [Case: build our own video classroom or keep paying per minute?](https://productovi.com/courses/finance-for-product/build-or-buy-case.md)

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