# Compensation Design Concept Card: [Your name, course or project, and date]

> A core-course concept card for designing pay: the pay mix (fixed against variable, cash against equity), incentive
> design (measures, thresholds, caps and accelerators), equity compensation (restricted stock units and stock
> options, dilution and burn rate) and the maths of pay for performance (the optimal incentive intensity of agency
> theory, pay-performance sensitivity and the value of an option grant). It is for MBA students in organisational
> behaviour, human resources, corporate governance and entrepreneurship courses, for founders who must design their
> first sales plan and option pool, and for managers who sit on a remuneration or compensation committee. Worked
> example A designs a sales commission plan and an executive equity grant for Corvane Robotics and computes a
> clawback, Worked example B is a half-solved store manager scorecard for Northfield Outdoor Co., and Exercise C asks
> for incentive intensity, an option repricing and a plan critique. Source basis: Kerr (1975), Jensen and Meckling
> (1976), Holmstrom (1979), Lazear and Rosen (1981), Jensen and Murphy (1990), Holmstrom and Milgrom (1991), Gibbons
> (1998), Lazear (2000), Bebchuk and Fried (2003), Hall and Murphy (2003) and Black and Scholes (1973), written up in
> original words with fictional numbers; dated rules (US SEC Rule 10D-1, UK Corporate Governance Code 2024, EU Pay
> Transparency Directive) are linked to official pages. Replace every [bracketed] value and every row marked
> *Example*. This is a learning aid, not legal, tax, accounting or financial advice.

<!--
Guidance: How to use this template
- Read "The idea in plain language" and "Formulas and notation", then rebuild Worked example A in a blank workbook
  from the inputs alone. Compare your payout table with the solved one before you go on.
- The card has two halves that the course usually teaches together: the economics of incentives (why and how much
  to pay for performance) and the mechanics of real plans (commission curves, scorecards, options and RSUs).
- Fill every [ ] in Worked example B, then do Exercise C without looking at the answer key.
- Every number was computed in Python (re-runnable script kept with the library sources) and is shown to two
  decimals unless stated; Excel formulas are given next to results so you can check your own build.
- Rules on executive pay, pay transparency and tax change often. The dated facts were checked on 2026-10-30; check
  the official page before you rely on any of them.
- Related templates: mba/mba-motivation-card, mba/mba-performance-evaluation-card, mba/mba-team-dynamics-card,
  mba/mba-leadership-guide, mba/mba-people-management-guide, mba/mba-sales-management-card,
  mba/mba-corporate-governance-card, mba/mba-options-real-options-card, mba/mba-venture-finance-cap-table-card,
  mba/mba-term-sheet-card, mba/mba-business-law-guide, mba/mba-ethics-guide, mba/mba-offer-negotiation,
  mba/mba-formula-sheet, mba/mba-error-log, hr/pay-transparency-gap-report, startup/hiring-plan.
-->

## Document control

<!-- Guidance: Record which plan or exercise you are designing and who reviewed it. A pay plan nobody has stress-tested at low and high performance is a draft. -->

| Field | Value |
|---|---|
| Learner | [Your name] |
| Course, project or committee | [Course name, consulting project, start-up or committee] |
| Plan being designed | [Sales commission plan, executive long-term incentive, option pool, bonus scorecard] |
| Plan year and currency | [YYYY], [currency] |
| Jurisdictions affected | [Countries where participants work or the company is listed] |
| Dated facts last checked | 2026-10-30 |
| Reviewed by | [Learning team member, instructor, reward or legal adviser] |
| Version | [0.1] |
| Last updated | YYYY-MM-DD |

## Contents

- [When to use it](#when-to-use-it)
- [The idea in plain language](#the-idea-in-plain-language)
- [Formulas and notation](#formulas-and-notation)
- [Assumptions and limits](#assumptions-and-limits)
- [Rules that shape pay design](#rules-that-shape-pay-design)
- [The design process step by step](#the-design-process-step-by-step)
- [Worked example A (fully solved): Corvane Robotics sales and executive pay](#worked-example-a-fully-solved-corvane-robotics-sales-and-executive-pay)
- [Worked example B (half solved): Northfield store manager scorecard](#worked-example-b-half-solved-northfield-store-manager-scorecard)
- [Exercise C (unsolved): intensity, repricing and a plan critique](#exercise-c-unsolved-intensity-repricing-and-a-plan-critique)
- [Connections to other cards](#connections-to-other-cards)
- [Common mistakes and misconceptions](#common-mistakes-and-misconceptions)
- [Self-test questions](#self-test-questions)
- [My notes and next steps](#my-notes-and-next-steps)
- [Sources and further reading](#sources-and-further-reading)
- [Answer key](#answer-key)

## When to use it

<!-- Guidance: Use the card whenever pay is meant to change behaviour. If the only goal is to attract and retain at market rates, a salary benchmark is enough. -->

Use this card when:

- you design or review a variable pay plan: a sales commission, an annual bonus scorecard, a team incentive or a
  long-term incentive for executives;
- a start-up must set its option pool, decide between options and restricted stock, and explain an offer's equity to
  a candidate (`mba/mba-offer-negotiation` covers the candidate's side);
- a remuneration or compensation committee must judge whether executive pay is linked to performance and whether
  the plan meets governance rules on clawback and disclosure;
- a case asks why an incentive plan produced the wrong behaviour (gaming, short-termism, neglect of unmeasured
  work, unhealthy competition);
- you need to compare the value of pay packages that mix salary, bonus and equity.

Do not use incentive pay to fix a problem of selection, training or tools. Where output is hard to measure, depends
mostly on luck or on teamwork, or where intrinsic motivation is strong, a higher salary and good management often
work better than a sharper incentive (`mba/mba-motivation-card`).

## The idea in plain language

<!-- Guidance: Pay design is a trade-off between motivation, risk and measurement. Every plan feature is a choice on one of those three. -->

An employer wants effort and good decisions it cannot fully observe; the employee chooses how hard to work and what
to work on. This is the agency problem (Jensen and Meckling 1976). Paying for measured performance aligns interests,
but it has two costs. The first is risk: measured performance depends on luck as well as effort, so a strong
incentive loads risk onto the employee, who must be paid a premium to bear it. Holmstrom (1979) showed that a good
contract uses every measure that tells the employer something about effort, and filters out noise the employee
cannot control (for example by comparing a salesperson's results with peers in the same market). The second is
distortion: when a job has several tasks and only some are measured, a strong incentive on the measured task pulls
effort away from the unmeasured ones (Holmstrom and Milgrom 1991). Kerr (1975) gave the managerial version: firms
often reward A while hoping for B.

Three further ideas complete the theory. **Selection:** incentive pay attracts people who expect to do well under it;
Lazear (2000) found that a move from hourly wages to piece rates at a windshield installer raised productivity by
about 44%, roughly half from more effort and half from attracting and keeping more productive workers. **Tournaments:**
promotions and rank-based bonuses reward relative performance, which filters out common shocks but can discourage
cooperation (Lazear and Rosen 1981). **Executive pay:** Jensen and Murphy (1990) measured how little chief executives'
wealth changed with shareholder wealth in their sample and argued for more equity-based pay; Bebchuk and Fried (2003)
argued that executives can influence their own pay, so pay design is also a governance problem; Hall and Murphy
(2003) explained why stock options cost the company more than they are worth to risk-averse, undiversified
executives.

Real plans translate these ideas into a few design choices: the **pay mix** (how much of target pay is variable),
the **measures** (what is rewarded and how noisy each measure is), the **payout curve** (threshold, target, maximum,
accelerators and caps), the **time horizon** (annual cash, multi-year equity, deferral and holding periods) and the
**safeguards** (malus, clawback, discretion, disclosure). The maths in the next section tells you which way each
choice should move; the worked examples show what the numbers look like.

## Formulas and notation

<!-- Guidance: Learn the first formula as intuition, not as a recipe: intensity falls with risk aversion, noise and the cost of effort. The rest are the working formulas of real plans. -->

Linear principal-agent model (Holmstrom and Milgrom 1987 and 1991, as commonly taught): output $x = e + \varepsilon$
with noise $\varepsilon \sim N(0, \sigma^2)$, pay $w = s + b\,x$, private cost of effort $c\,e^2/2$, agent's constant
absolute risk aversion $r$. The agent chooses $e^* = b/c$, and the incentive intensity that maximises total surplus is

$$
b^* = \frac{1}{1 + r\,c\,\sigma^2}
$$

Total certainty-equivalent surplus at intensity $b$:

$$
TS(b) = e - \frac{c\,e^2}{2} - \frac{r\,b^2\,\sigma^2}{2} \qquad \text{with } e = b/c
$$

Commission payout with threshold $\theta$, quota $Q$, base rate $k = I_{target}/Q$, accelerated rate $k_a$ and cap at
attainment $\bar{a}$, where $a = \text{bookings}/Q$:

$$
P(a) = \begin{cases} 0 & a < \theta \\ k\,a\,Q & \theta \le a \le 1 \\ I_{target} + k_a\,(\min(a, \bar{a}) - 1)\,Q & a > 1 \end{cases}
$$

Pay-performance sensitivity (Jensen and Murphy 1990): change in executive wealth per USD 1,000 change in shareholder
value, for $n$ share-equivalents held and $N$ shares outstanding (an option counts as its delta $\Delta$):

$$
PPS = \frac{n_{shares} + \Delta \cdot n_{options}}{N} \times 1{,}000
$$

Black-Scholes value of a call option (Black and Scholes 1973), used for grant-date fair value:

$$
C = S\,N(d_1) - K e^{-rT} N(d_2) \qquad d_1 = \frac{\ln(S/K) + (r + \sigma^2/2)\,T}{\sigma\sqrt{T}} \qquad d_2 = d_1 - \sigma\sqrt{T}
$$

Equity budget measures:

$$
\text{Burn rate} = \frac{\text{shares granted in the year}}{\text{weighted average shares outstanding}} \qquad
\text{Overhang} = \frac{\text{awards outstanding} + \text{shares available}}{\text{shares outstanding} + \text{awards outstanding} + \text{shares available}}
$$

| Symbol | Meaning | Note |
|---|---|---|
| $x$, $e$, $\varepsilon$, $\sigma$ | Measured output, effort, noise and its standard deviation | Noise includes luck and anything the employee cannot control |
| $s$, $b$ | Fixed pay and incentive intensity (share of measured output paid) | $b = 0$ is a pure salary, $b = 1$ makes the agent the residual claimant |
| $c$, $r$ | Cost of effort parameter and risk aversion | Both are judgements; the formula gives direction, not a number to apply |
| $Q$, $a$, $\theta$, $\bar{a}$ | Quota, attainment, threshold and cap | Thresholds and caps create kinks that invite gaming |
| $I_{target}$, $k$, $k_a$ | Target incentive, base and accelerated commission rates | Target pay mix is $s : I_{target}$ |
| $PPS$, $\Delta$ | Pay-performance sensitivity and option delta | Delta is $N(d_1)$ without dividends |
| $S$, $K$, $T$, $r$ (in Black-Scholes) | Share price, strike, expected term, risk-free rate | Here $\sigma$ is share price volatility, not output noise |
| $N(\cdot)$ | Standard normal cumulative distribution | Excel: `=NORM.S.DIST(x,TRUE)` |

Excel: the commission is `=IF(A<Thr,0,IF(A<=1,Rate*A*Quota,Target_inc+Acc_rate*(MIN(A,Cap)-1)*Quota))`; the optimal
intensity is `=1/(1+r*c*sigma^2)`; the option value is
`=S*NORM.S.DIST(d1,TRUE)-K*EXP(-rf*T)*NORM.S.DIST(d1-vol*SQRT(T),TRUE)` with
`d1=(LN(S/K)+(rf+vol^2/2)*T)/(vol*SQRT(T))`.

## Assumptions and limits

<!-- Guidance: State these when you present a plan. Most disputes about pay plans come from an assumption nobody wrote down. -->

- **The linear model is a teaching model.** Real effort costs, risk attitudes and noise are not known numbers. Use
  the formula for direction: noisier measures, more risk-averse employees and harder-to-move output call for weaker
  incentives.
- **One measure, one task** in the formula. With several tasks, the multitask result applies: if an important task
  cannot be measured, weaken the incentive on the measured one or measure both (Holmstrom and Milgrom 1991).
- **Payout curves assume honest reporting.** Every threshold, cap and period end invites timing games (pulling deals
  into the quarter, holding them back once the cap is reached). Smooth curves and multi-period measures reduce this.
- **Option values use Black-Scholes** with an expected term instead of the contractual term, no dividends and constant
  volatility. Accounting standards (ASC 718 in US GAAP, IFRS 2 internationally) require a fair-value measure at grant;
  private companies must also estimate the share price itself. The employee's subjective value is lower than the
  fair value when the employee is undiversified (Hall and Murphy 2003).
- **Tax and accounting are ignored** in the worked numbers. In practice, the timing and rate of tax on options and
  restricted stock, social charges and deduction limits change the cost and value of each instrument by country.
- **Fictional numbers.** Corvane Robotics and Northfield Outdoor Co. are fictional, and every figure is an example to
  test the formulas, not a market benchmark. Use a current pay survey for real levels.

## Rules that shape pay design

<!-- Guidance: These rules set boundaries; they do not design the plan for you. Check each one on the official page before a real decision and involve a reward or legal adviser. -->

Dated facts, checked 2026-10-30. This is a summary for learning, not legal advice.

| ID | Rule | What it means for design | Status and source |
|---|---|---|---|
| PAY-R01 | US SEC Rule 10D-1 (adopted 26 October 2022, Release 33-11126) requires listed issuers to adopt and comply with a policy to recover incentive-based compensation that executive officers received in the three completed fiscal years before a required accounting restatement, to the extent it exceeds what the restated numbers would have paid; recovery does not depend on fault, the amount is computed before tax and the issuer may not indemnify the officer | Any bonus or award linked to a financial reporting measure (including share price and total shareholder return) needs a recomputation method; Worked example A, step 5 | Confirmed: 17 CFR 240.10D-1, https://www.law.cornell.edu/cfr/text/17/240.10D-1, and https://www.sec.gov/rules-regulations/2022/10/listing-standards-recovery-erroneously-awarded-compensation |
| PAY-R02 | US pay versus performance disclosure (adopted 25 August 2022, Release 34-95607), implementing Exchange Act section 14(i): proxy statements show the relationship between executive compensation actually paid and the company's financial performance | Committees must explain pay outcomes against performance measures they choose | Confirmed: https://www.sec.gov/rules-regulations/2022/08/pay-versus-performance |
| PAY-R03 | US Internal Revenue Code section 162(m): a publicly held corporation cannot deduct remuneration above USD 1 million a year paid to a covered employee; for taxable years beginning after 31 December 2026 the covered employees include the five highest-compensated employees beyond the existing categories | Raises the after-tax cost of high pay for more people from 2027 | Confirmed in the statute text, https://www.law.cornell.edu/uscode/text/26/162; check IRS guidance and a tax adviser |
| PAY-R04 | UK Corporate Governance Code 2024, for financial years beginning on or after 1 January 2025: Provision 36 (phased vesting of long-term incentive shares), Provision 37 (malus and clawback provisions in directors' contracts or other agreements), Provision 38 (annual report describes the malus and clawback provisions and when they can be used) | Listed companies explain how they apply these provisions or why they depart from them | Confirmed on the FRC page, https://www.frc.org.uk/library/standards-codes-policy/corporate-governance/uk-corporate-governance-code/ |
| PAY-R05 | EU Shareholder Rights Directive as amended by Directive (EU) 2017/828: shareholder vote on the remuneration policy (Article 9a) and the remuneration report (Article 9b) of listed companies | The policy sets the plan's boundaries; the report shows the outcomes | Official text: http://data.europa.eu/eli/dir/2017/828/oj; check the national law |
| PAY-R06 | EU Pay Transparency Directive (Directive (EU) 2023/970), transposition deadline 7 June 2026: pay information for applicants and no pay-history questions (Article 5), accessible pay-setting and progression criteria (Article 6), gender pay gap reporting staged by employer size | Pay structures must rest on objective, gender-neutral criteria that can be explained (`hr/pay-transparency-gap-report`) | Official text: http://data.europa.eu/eli/dir/2023/970/oj; national transposition varies, check the national law |

## The design process step by step

<!-- Guidance: Design in this order. Most broken plans skipped step 2 (what behaviour do we want?) and went straight to step 4 (the payout curve). -->

Start from the behaviour and the business result you want, then choose measures, then the amount at risk, then the
curve, then the safeguards, and finally test the plan at low, target and high performance before anyone sees it.

```mermaid
flowchart TD
    A["1. Strategy and role: what must this role deliver?"] --> B["2. Behaviours and results to reward, and what must not be neglected"]
    B --> C["3. Measures: controllable, hard to game, low noise, few"]
    C --> D["4. Pay mix: share of target pay at risk, cash against equity"]
    D --> E["5. Payout curve: threshold, target, maximum, accelerators, cap"]
    E --> F["6. Time horizon: annual, multi-year, vesting, deferral, holding"]
    F --> G["7. Safeguards: malus, clawback, discretion, disclosure"]
    G --> H["8. Stress test: payouts and cost at low, target and high outcomes"]
    H -->|"Plan fails a test"| C
    H --> I["9. Communicate, run, and review after one cycle"]
```

| Design choice | Move towards more incentive when | Move towards less incentive when |
|---|---|---|
| Share of pay at risk | Output is measurable, controllable and mostly individual | Output is noisy, team-based or long-term |
| Number of measures | The job has several important tasks that can be measured | Measures conflict or are easy to manipulate |
| Relative versus absolute targets | Common shocks (market, season) affect everyone | Peers must cooperate, or the peer group is small |
| Cap on payout | Windfalls are likely and unrelated to effort | A cap would stop effort in a good year |
| Equity versus cash | Value depends on long-term decisions; the company is cash-constrained | Employees cannot influence the share price or cannot bear the risk |

## Worked example A (fully solved): Corvane Robotics sales and executive pay

<!-- Guidance: Rebuild each step from the inputs before reading the solution. Steps 1 and 2 are the sales plan; steps 3 to 5 are executive equity and governance. -->

*Example* inputs: Corvane Robotics (fictional) sells autonomous warehouse robots and fleet software. It is preparing
for a listing and wants a commission plan for account executives and a long-term incentive grant for a new chief
operating officer.

### Step 1: the account executive commission plan (USD)

On-target earnings (OTE) are 200,000 with a 60:40 pay mix: base salary 120,000 and target incentive 80,000. Quota is
1,600,000 of annual contract value. Below 50% attainment no commission is paid; from 50% to 100% the rate is 5.0% of
bookings (`=80000/1600000`); above quota the accelerated rate is 7.5% (1.5 times the base rate); payout is capped at
200% attainment.

| Attainment | Bookings | Commission | Total cash pay | Pay as % of bookings | Excel (commission) |
|---|---|---|---|---|---|
| 40% | 640,000 | 0.00 | 120,000 | 18.75% | `=IF(0.4<0.5,0,...)` |
| 50% | 800,000 | 40,000.00 | 160,000 | 20.00% | `=5%*0.5*1600000` |
| 80% | 1,280,000 | 64,000.00 | 184,000 | 14.38% | `=5%*0.8*1600000` |
| 100% | 1,600,000 | 80,000.00 | 200,000 | 12.50% | `=5%*1*1600000` |
| 130% | 2,080,000 | 116,000.00 | 236,000 | 11.35% | `=80000+7.5%*(1.3-1)*1600000` |
| 200% | 3,200,000 | 200,000.00 | 320,000 | 10.00% | `=80000+7.5%*(2-1)*1600000` |
| 220% | 3,520,000 | 200,000.00 | 320,000 | 9.09% | capped at 200% |

```vega-lite
{
  "$schema": "https://vega.github.io/schema/vega-lite/v5.json",
  "description": "Corvane account executive commission (USD thousand) against quota attainment, computed example",
  "width": 420,
  "height": 240,
  "data": {
    "values": [
      {"attainment": 0, "commission": 0}, {"attainment": 40, "commission": 0}, {"attainment": 49.9, "commission": 0},
      {"attainment": 50, "commission": 40}, {"attainment": 80, "commission": 64}, {"attainment": 100, "commission": 80},
      {"attainment": 130, "commission": 116}, {"attainment": 160, "commission": 152}, {"attainment": 200, "commission": 200},
      {"attainment": 220, "commission": 200}
    ]
  },
  "mark": {"type": "line", "point": true},
  "encoding": {
    "x": {"field": "attainment", "type": "quantitative", "title": "Quota attainment (%)"},
    "y": {"field": "commission", "type": "quantitative", "title": "Commission (USD thousand)"}
  }
}
```

Read the curve as the salesperson will. The jump from 0 to 40,000 at 50% attainment is a cliff: a salesperson at 45%
near the end of the year has a strong reason to pull a deal forward or discount it to cross the threshold, and one at
30% has no reason to try. The accelerator makes the marginal deal above quota worth 7.5% instead of 5.0%, which is the
point of an accelerator, and the cap stops the marginal reward at 200%, where a salesperson may delay deals into the
next year. Cost of sales falls as attainment rises (from 20.00% of bookings at threshold to 10.00% at the cap), so the
company gains from strong years even with the accelerator.

### Step 2: how strong should the incentive be?

Normalise output so that $c = 1$ and take $r = 0.5$. The optimal intensity $b^* = 1/(1 + 0.5\,\sigma^2)$ falls as
the measure gets noisier:

| Noise $\sigma$ | $b^*$ | Effort $e^* = b^*/c$ | Excel |
|---|---|---|---|
| 0.5 | 0.8889 | 0.8889 | `=1/(1+0.5*1*0.5^2)` |
| 1.0 | 0.6667 | 0.6667 | `=1/(1+0.5*1*1^2)` |
| 1.5 | 0.4706 | 0.4706 | `=1/(1+0.5*1*1.5^2)` |
| 2.0 | 0.3333 | 0.3333 | `=1/(1+0.5*1*2^2)` |

The lesson for Corvane: enterprise robot deals are large, few and lumpy, so a single account executive's annual
bookings are a noisy measure of effort. That argues for a lower share at risk than a high-volume software sales team
would use (60:40 rather than 50:50), for a multi-year or rolling quota, and for team or pipeline measures alongside
bookings. Comparing each executive with peers in the same region filters out common shocks (Holmstrom 1979).

### Step 3: the executive equity grant

The new chief operating officer receives a long-term incentive with a grant-date value of USD 600,000. The share price
is USD 10.00 and there are 50,000,000 shares outstanding. Option inputs: strike 10.00 (at the money), expected term 6
years, volatility 50%, risk-free rate 4.0%, no dividends.

| Item | Computation | Result | Excel |
|---|---|---|---|
| $d_1$ | $(\ln(10/10) + (0.04 + 0.5^2/2) \times 6) / (0.5\sqrt{6})$ | 0.8083 | `=(LN(10/10)+(4%+0.5^2/2)*6)/(0.5*SQRT(6))` |
| $d_2$ | $d_1 - 0.5\sqrt{6}$ | -0.4164 | `=0.8083-0.5*SQRT(6)` |
| Option value | $10\,N(0.8083) - 10\,e^{-0.24} N(-0.4164)$ | 5.24 | Formula in the notation section |
| Options for USD 600,000 | 600,000 / 5.2423 | 114,453 | `=600000/5.2423` |
| RSUs for USD 600,000 | 600,000 / 10.00 | 60,000 | `=600000/10` |
| Option delta $N(d_1)$ | | 0.7906 | `=NORM.S.DIST(0.8083,TRUE)` |
| PPS, RSU grant | 60,000 / 50,000,000 x 1,000 | USD 1.20 per USD 1,000 | `=60000/50000000*1000` |
| PPS, option grant | 0.7906 x 114,453 / 50,000,000 x 1,000 | USD 1.81 per USD 1,000 | `=0.7906*114453/50000000*1000` |

Value to the executive at vesting for four share prices (intrinsic value, before tax):

| Share price at vesting | RSUs (60,000) | Options (114,453 at strike 10.00) |
|---|---|---|
| 6.00 | 360,000 | 0 |
| 10.00 | 600,000 | 0 |
| 15.00 | 900,000 | 572,265 |
| 20.00 | 1,200,000 | 1,144,530 |

The two grants cost the same at grant, but they behave differently. RSUs keep value when the share price falls, so
they retain the executive in bad years and have a lower PPS. Options give nothing below the strike and more than
RSUs only above about USD 21 (the share price at which 114,453 x (P - 10) equals 60,000 x P, which is
`=114453*10/(114453-60000)` = 21.02); they pay for upside and encourage risk taking, which suits a growth company only
if the board wants that risk. Many plans mix the two, and listed companies add performance conditions.

### Step 4: dilution and the equity budget

Corvane grants 1,400,000 shares' worth of awards in the year, has 4,200,000 awards outstanding and 2,800,000 shares
still available in the plan, against 50,000,000 weighted average shares outstanding.

| Measure | Computation | Result | Excel |
|---|---|---|---|
| Burn rate | 1,400,000 / 50,000,000 | 2.80% | `=1400000/50000000` |
| Overhang | (4,200,000 + 2,800,000) / (50,000,000 + 4,200,000 + 2,800,000) | 12.28% | `=(4.2+2.8)/(50+4.2+2.8)` |

Investors and proxy advisers watch both numbers. Granting options instead of RSUs for the same value uses almost twice
as many shares (114,453 against 60,000), so the choice of instrument changes the burn rate as well as the incentive.

### Step 5: a clawback under a restatement

The chief operating officer's annual bonus pays 50% of a USD 300,000 target at revenue of USD 86.0m, 100% at 92.0m
and 200% at 98.0m, straight-line between points. Reported revenue was 92.0m, so the bonus paid was 300,000. A year
later an error in revenue recognition leads to a restatement: revenue becomes 88.5m.

| Item | Computation | Result | Excel |
|---|---|---|---|
| Bonus on restated revenue | 300,000 x (0.5 + 0.5 x (88.5 - 86) / 6) | 212,500 | `=300000*(0.5+0.5*(88.5-86)/6)` |
| Erroneously awarded amount | 300,000 - 212,500 | 87,500 | `=300000-212500` |

Under a Rule 10D-1 policy (PAY-R01) the company must seek to recover 87,500, computed before tax and regardless of
whether the executive was at fault. The design lesson: write the recomputation method into the plan before the first
payout, including how to treat measures such as total shareholder return where the effect of a restatement must be
estimated.

## Worked example B (half solved): Northfield store manager scorecard

<!-- Guidance: Fill each [ ] using the same straight-line method: threshold pays 50%, target 100%, maximum 150%, nothing below threshold. Then answer the design questions. -->

Northfield Outdoor Co. (fictional) pays its store managers a target bonus of 20% of a USD 80,000 base salary
(USD 16,000). The scorecard has three measures:

| Measure | Weight | Threshold (50%) | Target (100%) | Maximum (150%) | Actual | Score |
|---|---|---|---|---|---|---|
| Comparable store sales growth | 50% | 0.0% | 4.0% | 8.0% | 5.0% | 112.5% |
| Shrink (stock loss) as % of sales, lower is better | 20% | 2.0% | 1.5% | 1.0% | 1.8% | [ ] |
| Customer satisfaction score | 30% | 70 | 78 | 85 | 74 | [ ] |
| Weighted score | 100% | | | | | [ ] |
| Bonus paid (USD) | | | | | | [ ] |

The sales score is `=100%+(5.0%-4.0%)/(8.0%-4.0%)*50%` = 112.5%. For the shrink measure, remember that a lower
value is better, so measure progress from the threshold downwards.

Design questions: [ ]

1. Which measure is most exposed to luck (weather, a new competitor nearby), and how would you filter it?
2. Which important part of a store manager's job does this scorecard not measure, and what does the multitask result
   predict about it?
3. Should the bonus pay anything if one measure is below threshold but the others are strong? Argue both sides.

## Exercise C (unsolved): intensity, repricing and a plan critique

<!-- Guidance: C1 uses the formula, C2 uses Black-Scholes in your own workbook, and C3 is a written critique. Do them without the answer key. -->

C1. In the linear model with $r = 0.5$ and $c = 1$, the noise of a measure is $\sigma = 1.2$. Find the optimal
intensity $b^*$ and the total surplus at $b^*$. Compare it with the surplus if the firm uses $b = 1$ (full residual
claim). What does the comparison say about "making every employee an owner"?

C2. A year after the grant in Worked example A, step 3, Corvane's share price has fallen to USD 6.00. The options now
have five years of expected term left; volatility and the risk-free rate are unchanged. (a) What is each existing
option worth, and the whole grant? (b) What is a new at-the-money option (strike 6.00, five years) worth? (c) How
many new options would a value-neutral exchange give the executive for the 114,453 old ones? (d) What would a
one-for-one repricing cost the shareholders in incremental fair value? (e) Give one argument for and one against
repricing.

C3. A sales director proposes: "Pay 10% of every deal's value, no base salary, no cap, paid when the contract is
signed." Write five sentences on what behaviour this plan will produce at Corvane and how you would change it.

## Connections to other cards

<!-- Guidance: Pay design sits between organisational behaviour, finance and governance. Use these links to go deeper on any part. -->

| Card or template | Connection |
|---|---|
| mba/mba-motivation-card | Intrinsic and extrinsic motivation, and when incentives crowd out effort |
| mba/mba-performance-evaluation-card | Measuring performance well enough to pay for it |
| mba/mba-sales-management-card | Territory design, quota setting and sales force size |
| mba/mba-people-management-guide | The course where pay design sits with hiring, development and retention |
| mba/mba-corporate-governance-card | Board and committee oversight of executive pay, say on pay and clawback |
| mba/mba-options-real-options-card | Option pricing in full, including the Black-Scholes assumptions |
| mba/mba-venture-finance-cap-table-card, mba/mba-term-sheet-card | Option pools and dilution in a venture-backed company |
| mba/mba-business-law-guide | Employment law limits on pay and restrictive covenants |
| hr/pay-transparency-gap-report | Pay transparency and gender pay gap reporting |
| mba/mba-offer-negotiation | Evaluating an equity offer from the employee's side |

## Common mistakes and misconceptions

<!-- Guidance: Audit your plan against this list before anyone else sees it. -->

1. **Rewarding what is easy to count instead of what matters** (Kerr 1975). Bookings without margin, calls without
   quality, short-term earnings without investment.
2. **Ignoring noise.** A strong incentive on a noisy measure pays for luck and costs a risk premium; filter common
   shocks with relative measures or longer periods.
3. **Cliffs and caps without a reason.** Each kink in a payout curve creates a timing game; use smooth curves unless a
   kink serves a purpose you can state.
4. **Too many measures.** A scorecard with ten measures gives each a weight too small to change behaviour; three to
   five is a common range.
5. **Comparing options and RSUs by share count.** Compare by fair value and by how value changes with the share price;
   one option is worth less than one share.
6. **Treating the option's fair value as its value to the employee.** An undiversified, risk-averse employee values an
   option below its cost to the company (Hall and Murphy 2003).
7. **Forgetting dilution.** Every equity award is paid by existing shareholders; track burn rate and overhang.
8. **No recomputation rule for clawback.** Without a method fixed in advance, recovery after a restatement becomes a
   negotiation.
9. **Assuming more incentive is always better.** Where tasks are hard to measure or teamwork matters, weaker individual
   incentives with good management can outperform (Holmstrom and Milgrom 1991; Gibbons 1998).
10. **Designing pay without the pay-equity check.** Objective, documented criteria are now a legal expectation in the
    EU (PAY-R06) and good practice everywhere.

## Self-test questions

<!-- Guidance: Answer from memory, then check the answer key. Repeat after two days. -->

1. State the two costs of paying for measured performance.
2. In the linear model, how does $b^*$ change when risk aversion doubles? Why?
3. What does the multitask model predict when one important task cannot be measured?
4. In Worked example A, what is the commission at 120% attainment? Show the Excel formula.
5. Why does the 50% threshold in Worked example A create a gaming problem, and how would you remove it?
6. Explain the two sources of the productivity gain Lazear (2000) found after a switch to piece rates.
7. What does a pay-performance sensitivity of USD 1.20 per USD 1,000 mean?
8. Why does an option grant of the same fair value as an RSU grant use more shares?
9. At what share price do the option and RSU grants in step 3 give the executive the same value?
10. Under Rule 10D-1, does recovery depend on the executive's fault? How is the amount computed?
11. What is the difference between malus and clawback?
12. Give one argument from Bebchuk and Fried (2003) for why boards may not set executive pay at arm's length.

## My notes and next steps

<!-- Guidance: Log each plan you design or review and what the stress test showed. -->

| Date | Plan or exercise | Test run (low, target, high) | What broke | Next step |
|---|---|---|---|---|
| *Example:* YYYY-MM-DD | Corvane commission plan | 40%, 100%, 220% attainment | Cliff at 50% invites deal timing | Replace cliff with a ramp from 30% |
| [YYYY-MM-DD] | [ ] | [ ] | [ ] | [ ] |

## Sources and further reading

<!-- Guidance: Primary works first, then official pages for dated rules, then textbooks by name only. -->

Primary works:

- Kerr, S. (1975). On the folly of rewarding A, while hoping for B. *Academy of Management Journal*, 18(4), 769-783.
- Jensen, M. C., and Meckling, W. H. (1976). Theory of the firm: Managerial behavior, agency costs and ownership
  structure. *Journal of Financial Economics*, 3(4), 305-360.
- Holmstrom, B. (1979). Moral hazard and observability. *The Bell Journal of Economics*, 10(1), 74-91.
- Lazear, E. P., and Rosen, S. (1981). Rank-order tournaments as optimum labor contracts. *Journal of Political
  Economy*, 89(5), 841-864.
- Jensen, M. C., and Murphy, K. J. (1990). Performance pay and top-management incentives. *Journal of Political
  Economy*, 98(2), 225-264.
- Holmstrom, B., and Milgrom, P. (1987). Aggregation and linearity in the provision of intertemporal incentives.
  *Econometrica*, 55(2), 303-328.
- Holmstrom, B., and Milgrom, P. (1991). Multitask principal-agent analyses: Incentive contracts, asset ownership,
  and job design. *Journal of Law, Economics, and Organization*, 7 (special issue), 24-52.
- Gibbons, R. (1998). Incentives in organizations. *Journal of Economic Perspectives*, 12(4), 115-132.
- Lazear, E. P. (2000). Performance pay and productivity. *American Economic Review*, 90(5), 1346-1361.
- Bebchuk, L. A., and Fried, J. M. (2003). Executive compensation as an agency problem. *Journal of Economic
  Perspectives*, 17(3), 71-92.
- Hall, B. J., and Murphy, K. J. (2003). The trouble with stock options. *Journal of Economic Perspectives*, 17(3),
  49-70.
- Black, F., and Scholes, M. (1973). The pricing of options and corporate liabilities. *Journal of Political Economy*,
  81(3), 637-654.

Official pages for dated rules (checked 2026-10-30):

- 17 CFR 240.10D-1, https://www.law.cornell.edu/cfr/text/17/240.10D-1, and SEC adopting release page,
  https://www.sec.gov/rules-regulations/2022/10/listing-standards-recovery-erroneously-awarded-compensation.
- SEC, Pay versus performance, https://www.sec.gov/rules-regulations/2022/08/pay-versus-performance.
- 26 U.S. Code section 162, https://www.law.cornell.edu/uscode/text/26/162.
- Financial Reporting Council, UK Corporate Governance Code,
  https://www.frc.org.uk/library/standards-codes-policy/corporate-governance/uk-corporate-governance-code/.
- Directive (EU) 2017/828 (Shareholder Rights Directive II), http://data.europa.eu/eli/dir/2017/828/oj.
- Directive (EU) 2023/970 (Pay Transparency Directive), http://data.europa.eu/eli/dir/2023/970/oj.

Textbooks (further reading, by name only): Milgrom and Roberts, *Economics, Organization and Management*; Lazear and
Gibbs, *Personnel Economics in Practice*; Brickley, Smith and Zimmerman, *Managerial Economics and Organizational
Architecture*.

## Answer key

<!-- Guidance: Every number below comes from the calculation script. Check your workbook against these to two decimals. -->

Worked example B: shrink score 70.0% (`=50%+(2.0%-1.8%)/(2.0%-1.5%)*50%`); customer score 75.0%
(`=50%+(74-70)/(78-70)*50%`); weighted score 92.75% (`=50%*112.5%+20%*70%+30%*75%`); bonus USD 14,840
(`=16000*92.75%`). Design questions: comparable sales growth is most exposed to luck; compare with stores in the same
region or adjust for local market growth. The scorecard does not measure staff development, safety or compliance;
the multitask result predicts that those tasks will be neglected, so add a qualitative gate or lower the weight on
sales. On a below-threshold measure, a gate protects the measure's importance; a weighted sum without gates keeps the
bonus motivating when one measure is hit by bad luck.

Exercise C:

- C1: $b^* = 1/(1 + 0.5 \times 1.2^2) = 0.5814$ (`=1/(1+0.5*1.2^2)`); total surplus 0.2907. At $b = 1$ the surplus is
  0.1400 (`=1-0.5-0.5*1.2^2/2`), less than half, because the agent bears the full risk premium. Full ownership is
  efficient only when noise is low or the agent is close to risk neutral.
- C2: (a) each existing option is worth 2.02, the grant 230,723; (b) a new at-the-money option is worth 2.89; (c) a
  value-neutral exchange gives 79,849 new options (about 1.43 old for 1 new); (d) a one-for-one repricing adds about
  99,989 of fair value (`=114453*(2.8895-2.0159)`); (e) for: underwater options no longer retain or motivate, and the
  executive may leave; against: shareholders bore the fall in price and the executive is protected from it, which
  weakens the link between pay and performance and invites expectations of future repricing.
- C3: the plan pays for signed value, not for margin, collection or customer fit, so expect discounting, oversized or
  poorly qualified deals and neglect of renewals; no base salary loads all risk on the salesperson, so expect high
  turnover and a preference for safe, small deals or, at the other extreme, risky promises; no cap invites windfalls
  on deals won by others. Changes: a base salary with a 60:40 or 70:30 mix, commission on margin or collected
  revenue, payment split between signature and go-live, clawback on cancelled contracts, and team measures for large
  deals.

Self-test:

1. Risk (the employee bears noise and must be paid a premium) and distortion (effort moves to measured tasks and away
   from unmeasured ones, and measures can be gamed).
2. It falls, because $r$ is in the denominator: a more risk-averse agent needs a larger premium for each unit of risk,
   so the efficient contract shifts pay towards salary.
3. Lower the incentive on the measured task, or find a measure for the unmeasured one, so that the agent does not
   abandon the unmeasured task.
4. `=80000+7.5%*(1.2-1)*1600000` = 104,000.
5. A salesperson just below 50% gains 40,000 by crossing it, so deals are pulled forward or discounted; one well below
   it stops trying. Replace the cliff with a ramp (for example a lower rate from 30% rising to 5% at 50%).
6. Incentive (the same workers worked harder) and selection (the plan attracted and kept more productive workers).
7. The executive's wealth rises by USD 1.20 when shareholder value rises by USD 1,000.
8. Each option is worth less than a share (5.24 against 10.00), so the same value needs more options.
9. At about USD 21.02 (`=114453*10/(114453-60000)`).
10. No. The amount is the incentive compensation received minus what would have been received on the restated numbers,
    computed without regard to taxes paid.
11. Malus reduces or cancels an award before it vests or is paid; clawback recovers pay already delivered.
12. Executives influence the board that sets their pay; directors have social and financial ties to the chief
    executive; the main constraint is outside "outrage" rather than bargaining, so pay is camouflaged in forms that
    are less visible to shareholders.

## Revision history

<!-- Guidance: Add a row each time you change a plan feature or re-check the dated rules. -->

| Version | Date | Author | Change summary |
|---|---|---|---|
| 0.1 | YYYY-MM-DD | [Your name] | First build of Worked example A from the inputs |
| 0.2 | YYYY-MM-DD | [Your name] | *Example:* Replaced the 50% cliff with a ramp; re-checked PAY-R01 to PAY-R06 |

## Standard and licence note

Based on the agency theory and personnel economics literature listed above (Kerr, Jensen and Meckling, Holmstrom,
Lazear and Rosen, Jensen and Murphy, Holmstrom and Milgrom, Gibbons, Lazear, Bebchuk and Fried, Hall and Murphy) and
the Black-Scholes model, with dated rules taken from the official pages named in the sources and checked on
2026-10-30. The text, the plans, the numbers and the exercises are original; no textbook, survey, consultancy material
or published case is copied or paraphrased, and Corvane Robotics, Northfield Outdoor Co. and every number in this
card are fictional. The template is independent and not affiliated with or endorsed by any regulator, school,
employer or publisher. It is not legal, tax, accounting or financial advice: check the current official texts and a
qualified adviser before you design or approve a real plan.
Template licence: MIT.
