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Expected Volatility in ESOP Valuation

Introduction: Why Can a Riskier Share Make an ESOP More Valuable?

Imagine two companies have the same current share price and exercise price. However, one company’s share price fluctuates significantly, while the other’s remains relatively stable.

Would their employee stock options have the same fair value?

Generally, no. The option linked to the more volatile share will usually have a higher theoretical fair value, assuming all other valuation inputs remain unchanged.

This is because volatility measures the expected degree of share-price fluctuations, and an employee holding a call option can benefit from favourable price movements without being required to exercise an unprofitable option.

Understanding expected volatility is therefore essential for companies valuing ESOPs using the Black-Scholes Model under Ind AS 102.

What Is Expected Volatility?

Expected volatility measures the anticipated extent of fluctuations in a company’s share price over a specified period. It is generally expressed as an annualised percentage.

For example, an expected volatility of 30% indicates the estimated annualised standard deviation of the share’s returns is 30%. It does not mean that the share price will necessarily increase or decrease by 30%.

Expected volatility measures the magnitude of potential price movements, not their direction.

A company with 40% expected volatility may experience larger price movements than a company with 15% expected volatility. However, higher volatility does not necessarily mean the company is performing poorly or that its share price will decline.

Why Is Expected Volatility Important in the Black-Scholes Model?

Expected volatility is one of the key inputs in the Black-Scholes Model, alongside the current share price, exercise price, expected life, risk-free interest rate and expected dividend yield.

The model uses volatility to estimate the range of possible future share prices over the option’s expected life.

When volatility increases, the probability of the share price moving significantly above the exercise price generally increases. Since the employee holds a call option, this greater potential upside increases the option’s theoretical fair value.

The option holder’s potential loss is asymmetric: the employee can generally choose not to exercise an option that is out of the money, although the option may expire worthless.

Consequently, higher expected volatility generally increases call option fair value, assuming all other inputs remain unchanged.

Practical Example: How Expected Volatility Affects ESOP Fair Value

Suppose a company grants 1,000 equity-settled ESOPs to its employees. The current share price, exercise price, expected life, risk-free interest rate and dividend yield remain unchanged.

Only expected volatility differs between the two scenarios.

Particulars Scenario A Scenario B
Current share price ₹150 ₹150
Exercise price ₹150 ₹150
Expected volatility 20% 40%
Illustrative fair value per option ₹25 ₹40
Options expected to vest 1,000 1,000
Total compensation cost ₹25,000 ₹40,000

Note: The fair values of ₹25 and ₹40 are hypothetical figures for illustration and are not calculated Black-Scholes outputs.

What does this mean?

In Scenario A, the illustrative total compensation cost is ₹25,000. In Scenario B, it is ₹40,000.

The difference is ₹15,000.

Although the current share price and exercise price remain the same, higher expected volatility increases the illustrative fair value per option. This, in turn, increases the total estimated compensation cost.

This demonstrates why volatility is a particularly important assumption when valuing employee stock options.

How Does Expected Volatility Affect ESOP Expense Under Ind AS 102?

For a typical equity-settled ESOP, the grant-date fair value is used to determine the compensation cost. The expense is generally recognised over the applicable vesting period as employees render the required services.

Assume the options vest over four years and straight-line recognition is appropriate.

Scenario A:

Total compensation cost = ₹25,000

Annual expense = ₹25,000 ÷ 4 = ₹6,250

Scenario B:

Total compensation cost = ₹40,000

Annual expense = ₹40,000 ÷ 4 = ₹10,000

The difference in annual compensation expense is ₹3,750.

The typical annual journal entry for Scenario A would be:

Employee Compensation Expense A/c Dr. ₹6,250

To ESOP Outstanding Reserve A/c ₹6,250

For Scenario B, the corresponding annual expense would be ₹10,000, subject to the actual vesting terms and applicable accounting requirements.

For equity-settled awards, the grant-date fair value is generally not remeasured for subsequent changes in share-price volatility. Instead, the applicable grant-date compensation cost is recognised over the vesting period, with adjustments for relevant vesting conditions as required by Ind AS 102.

How Do Companies Estimate Expected Volatility?

Expected volatility cannot be determined simply by looking at whether a company’s share price has recently increased or decreased. It requires a reasonable, supportable estimate of the expected fluctuations over the option’s expected life.

Companies generally consider the following factors:

  1. Historical volatility

Historical volatility measures the fluctuations in a company’s share-price returns over a past period. It can provide a useful starting point for estimating future volatility, although past performance does not guarantee future behaviour.

  1. Expected life of the option

The period used to assess volatility should be consistent with the option’s expected life. A short historical observation period may not adequately represent the expected fluctuations over a longer option life.

 Comparable companies

For unlisted companies, historical share-price data may not be available. In such cases, the historical or implied volatility of comparable listed companies may help inform the estimate, subject to appropriate adjustments for differences in business risk, leverage and other relevant characteristics.

  1. Market conditions and business risk

Changes in the company’s industry, operating environment and financial structure may influence its expected share-price fluctuations. These factors should be considered when relevant to the estimate.

  1. Consistency and documentation

The selected volatility assumption should be reasonable, supported by available evidence and documented as part of the valuation process.

Ind AS 102’s application guidance, particularly paragraphs B22–B30, discusses considerations relevant to estimating expected volatility.

Conclusion

Expected volatility is one of the most influential inputs in ESOP valuation because it measures the anticipated fluctuations in the underlying share price during the option’s life.

Under the Black-Scholes Model, higher expected volatility generally increases the fair value of a call option, assuming all other inputs remain unchanged. For equity-settled ESOPs, a higher grant-date fair value generally results in a higher compensation cost recognised over the vesting period.

For companies applying Ind AS 102, the objective is to estimate volatility using reasonable, supportable assumptions that reflect the option’s expected life and the available market evidence.

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