Valuation of Compulsorily Convertible (Partly or fully) Debentures

Valuation of compulsorily convertible (partly or fully) debentures is the process of determining the fair value of these debentures. The fair value of a compulsorily convertible (partly or fully) debenture is the price that a willing buyer would pay to a willing seller in an arm’s-length transaction.

Valuation methods

There are several methods that can be used to value compulsorily convertible (partly or fully) debentures. Some of the most common methods include:

  • Net asset value method: The net asset value method is based on the value of the underlying assets of the company. The debentures are valued as a debt instrument, and the value of the conversion option is ignored.
  • Discounted cash flow method: The discounted cash flow method is based on the expected future cash flows from the debentures. The debentures are valued as a debt instrument, and the value of the conversion option is taken into account.
  • Option pricing method: The option pricing method is based on the Black-Scholes model or other option pricing models. The debentures are valued as a combination of a debt instrument and an option, and the value of the conversion option is taken into account.

Multiple choice questions:

  1. Which of the following is a method that can be used to value compulsorily convertible (partly or fully) debentures?
    • Net asset value method
    • Discounted cash flow method
    • Option pricing method
    • All of the above
    • The answer is All of the above. All of these methods can be used to value compulsorily convertible (partly or fully) debentures.
  2. The net asset value method is based on the value of the underlying assets of the company. The debentures are valued as a debt instrument, and the value of the conversion option is:
    • Included
    • Ignored
    • Not relevant
    • All of the above
    • The answer is Ignored. The net asset value method ignores the value of the conversion option.
  3. The discounted cash flow method is based on the expected future cash flows from the debentures. The debentures are valued as a debt instrument, and the value of the conversion option is:
    • Included
    • Ignored
    • Not relevant
    • All of the above
    • The answer is Included. The discounted cash flow method includes the value of the conversion option.

Factors affecting value of compulsorily convertible (partly or fully) debentures

The value of a compulsorily convertible (partly or fully) debenture is affected by a number of factors, including:

  • The price of the underlying stock
  • The exercise price of the debenture
  • The time to expiration of the debenture
  • The volatility of the underlying stock
  • The risk-free interest rate
  • The dividends paid by the underlying stock
  • The conversion premium

Conversion premium

The conversion premium is the difference between the market price of the debenture and the exercise price of the debenture. The conversion premium is a measure of the value of the conversion option.

Conclusion

The valuation of compulsorily convertible (partly or fully) debentures is a complex process that takes into account a number of factors. The specific method that is used to value these debentures will depend on the specific circumstances.