[In the absence of frictions, the value of the underlying asset implied by option prices must equal its actual market value. With frictions, however, this requirement need not hold. Using S&P 100 index options data, I find that the implied cost of the index is significantly higher in the options market than in the stock market, and is directly related to measures of transaction costs and liquidity. I show that the Black-Scholes model has strong bid-ask spread, trading volume, and open interest biases. Option pricing models that relax the martingale restriction perform significantly better.]

In the absence of frictions, the value of the underlying asset implied by option prices must equal its actual market value. With frictions, however, this requirement need not hold. Using S&P 100 index options data, I find that the implied cost of the index is significantly higher in the options market than in the stock market, and is directly related to measures of transaction costs and liquidity. I show that the Black-Scholes model has strong bid-ask spread, trading volume, and open interest biases. Option pricing models that relax the martingale restriction perform significantly better.

ABSTRACT How marketability affects security prices is one of the most important issues in finance. We derive a simple analytical upper bound on the value of marketability using option‐pricing theory. We show that discounts for lack of marketability can potentially be large even when the illiquidity period is very short. This analysis also provides a benchmark for assessing the potential costs of exchange rules and regulatory requirements restricting the ability of investors to trade when desired. Furthermore, these results provide new insights into the relation between discounts for lack of marketability and the length of the marketability restriction.

How marketability affects security prices is one of the most important issues in finance. We derive a simple analytical upper bound on the value of marketability using option-pricing theory. We show that discounts for lack of marketability can potentially be large even when the illiquidity period is very short. This analysis also provides a benchmark for assessing the potential costs of exchange rules and regulatory requirements restricting the ability of investors to trade when desired. Furthermore, these results provide new insights into the relation between discounts for lack of marketability and the length of the marketability restriction.

How marketability affects security prices is one of the most important issues in finance. The authors derive a simple analytical upper bound on the value of marketability using option-pricing theory. They show that discounts for lack of marketability can potentially be large even when the illiquidity period is very short. This analysis also provides a benchmark for assessing the potential costs of exchange rules and regulatory requirements restricting the ability of investors to trade when desired. Furthermore, these results provide new insights into the relation between discounts for lack of marketability and the length of the marketability restriction.

We develop a simple approach to valuing risky corporate debt that incorporates both default and interest rate risk. We use this approach to derive simple closed-form valuation expressions for fixed and floating rate debt. The model provides a number of interesting new insights about pricing and hedging corporate debt securities. For example, we find that the correlation between default risk and the interest rate has a significant effect on the properties of the credit spread. Using Moody's corporate bond yield data, we find that credit spreads are negatively related to interest rates and that durations of risky bonds depend on the correlation with interest rates. This empirical evidence is consistent with the implications of the valuation model.

ABSTRACT We develop a simple approach to valuing risky corporate debt that incorporates both default and interest rate risk. We use this approach to derive simple closed‐form valuation expressions for fixed and floating rate debt. The model provides a number of interesting new insights about pricing and hedging corporate debt securities. For example, we find that the correlation between default risk and the interest rate has a significant effect on the properties of the credit spread. Using Moody's corporate bond yield data, we find that credit spreads are negatively related to interest rates and that durations of risky bonds depend on the correlation with interest rates. This empirical evidence is consistent with the implications of the valuation model.