The market value of the assets of a corporation is currently $200 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 $65 million and a due date of exactly five years. No intermediate interest payments are required. The risk-free (continuous) rate is 2.75% and the standard deviation of returns of the firms 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.