An Analysis of Revolving Credit Agreements

Cover An Analysis of Revolving Credit Agreements
An Analysis of Revolving Credit Agreements
Gregory D Hawkins
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kH - Capital structure irrelevance holds and will be achieved by the assumption of no taxes.
A5 - There are no restrictions on borrowing or short selling.
The assumptions necessary to obtain explicit valuation are: A6 - The value of the firm, V, follows an Ito process with a constant variance rate (i. E. , dVr( YV-C)dt+odz, where C is the instantaneous net payments of the firm).
11 A7 - Trading in the capital markets takes place continuously.
A8 - The firm issues only two types of claims agains
...t its assets: 1) equity and 2) the bank line commitment. No continuous payments are made to equity.
A9 - The riskless rate is equal to the prime rate, p=r.
A10 - The instantaneous riskless rate, r, is a constant.
This implies that the payments of the firm of Equation (1') can be written as C=$L+(r+A)B, where $ is the fixed cost and A is the risk premium on borrowing.
All - At any firm value, the firm always invests in the same homogeneous set of assets.
The above assumptions imply that the value of the bank line commitment, F(V, t), must satisfy the partial differential equations: In Region I (where B=L), ^J-V^F-"" +(rV-C-'')F''--rF-^+F^+C-'-=0 (2.


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