Financial Articulation of a Fiduciary Duty to Bondholders with ...
Financial Articulation of a Fiduciary Duty to Bondholders with ...
Financial Articulation of a Fiduciary Duty to Bondholders with ...
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1986]<br />
FIDUCIARY DUTY TO BONDHOLDERS<br />
B. THE BLACK-SCHOLES CONCEPTION OF THE CORPORATION<br />
An "option" is "[a] contract giving its holder the right <strong>to</strong> buy or<br />
sell... [something] at a predetermined price and predetermined time<br />
period. ' 2 4 A "call option" is an option <strong>to</strong> buy. 25 A "compound option"<br />
is "an option on an option. ' 2 6 "Synergy" means that the <strong>to</strong>tal<br />
effect <strong>of</strong> a combination is greater than the sum <strong>of</strong> the individual effects<br />
<strong>of</strong> the components <strong>of</strong> that combination before that combination<br />
occurred. A "nonsynergistic merger" is a merger <strong>with</strong>out corporate<br />
market value synergy: the market value <strong>of</strong> the combined corporation<br />
equals the sum <strong>of</strong> the premerger market values <strong>of</strong> the corporations<br />
merging. 27 An "efficient capital market" is a capital market in which<br />
"any new information reaching the market concerning asset values is<br />
immediately impounded in<strong>to</strong> security prices.128 The "debt capacity"<br />
<strong>of</strong> a corporation is the pr<strong>of</strong>ile <strong>of</strong> the maximum market value <strong>of</strong> bonds<br />
that the corporation can have outstanding in the capital market for a<br />
2 9<br />
range <strong>of</strong> interest rates.<br />
Aris<strong>to</strong>tle said that "the house is there that men may live in it,<br />
but it is also there because the builders have laid one s<strong>to</strong>ne upon an-<br />
other. ' 30 The Black-Scholes option-pricing framework is an example<br />
<strong>of</strong> such a duality because it scientifically describes both option prices<br />
and the bondholder-s<strong>to</strong>ckholder corporate-financial mechanism. 31<br />
This framework is based on postulates regarding the capital<br />
24. Dow JONES & CO., INC., THE ABC's OF OPTION TRADING 30 (1981).<br />
25. Id. at 29.<br />
26. K. Shastri, Valuing Corporate Securities: Some Effects <strong>of</strong> Mergers by Exchange<br />
Offers 10 (University <strong>of</strong> Pittsburgh WP-517 Jan. 1982).<br />
27. See Galai & Masulis, The Option Pricing Model and the Risk Fac<strong>to</strong>r <strong>of</strong> S<strong>to</strong>ck, 3<br />
J. FIN. ECON. 53, 66 & n.38, 68 (1976).<br />
28. Id. at 72. See generally E. FAMA, FOUNDATIONS OF FINANCE 133-68 (1976) (discussing<br />
four models <strong>of</strong> efficient capital market equilibrium).<br />
29. See Staple<strong>to</strong>n, Mergers, Debt Capacity, and the Valuation <strong>of</strong> Corporate Loans,<br />
in MERGERS AND ACQUISITIONS 9, 9-10, 14 (1982) (discussing the Black-Scholes option<br />
pricing framework).<br />
30. D. THOMPSON, ON GROWTH AND FORM 6 (1942) (providing a statement <strong>of</strong> the<br />
parable).<br />
31. See Smith, Jr., Option Pricing: A Review, 3 J. FIN. ECON. 3, 4 (1976). The<br />
Black-Scholes option pricing model is the limiting case <strong>of</strong> the binomial option pricing<br />
formula. Cox, Ross & Rubinstein, Option Pricing: A Simplified Approach, 7 J. FIN.<br />
ECON. 229, 250-54 (1979). The model "seeks <strong>to</strong> price the securities whose values are<br />
contingent upon the value <strong>of</strong> the underlying asset." Hsia, Coherence <strong>of</strong> the Modern<br />
Theories <strong>of</strong> Finance, 1981 FIN. REV. 27, 36. The model values a call option when its<br />
underlying asset does not make asset distributions before the call's maturity. Smith,<br />
Jr., supra, at 4-5, 25 (discussing European and nondividend-paying American calls). A<br />
combination model values a call option when its underlying asset makes known future<br />
asset distributions before the call's maturity. Roll, An Analytic Valuation Formula<br />
for Unprotected American Call Options on S<strong>to</strong>cks <strong>with</strong> Known Dividends, 5 J. FIN.<br />
ECON. 251, - (1977). A compound model values a call option on a call option. See<br />
Geske, The Valuation <strong>of</strong> Corporate Liabilities as Compound Options, 12 J. FIN. &<br />
QUAN. ANAL. 541, - (1977).