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The market value of the assets of a corporation is currently $290.0 million but the owners wish to only use as collateral a value that will result in an interest rate of about 10%. The firm has on issue a debt outstanding that has a par value of $35.0 million and a due date of exactly five years. No intermediate interest payments are required.
The risk-free (continuous) rate is 3.25% and the standard deviation of returns of the firm's assets is 60%.
What is the value of the assets required by the debt holders to permit a fair interest rate of approximately10% (your answer should ensure that the fair interest rate is in the range of >9% and <11%)?
State any simplifying assumptions made in your calculations.
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The offer price is $26 per share and the company's underwriters charge a spread of 7.5 percent. (Enter your answer as directed, but do not round intermediate calculations.)
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