Company BSM has total assets with a market value of $100 million financed by debt and equity. The annual volatility (standard deviation) of the total asset return is 30%. The debt is newly issued zero-coupon debt with a face-value of $60 million due for payment in one year. BSM’s assets have zero systematic risk. The risk free interest rate is 5% per annum with continuous compounding. Assume: there are no taxes; BSM will pay no dividends; the future value of BSM’s assets is log-normally distributed; the assets trade in a complete market; and lenders do not anticipate any change in management strategy . What is the market value of BSM’s debt? a. $43.2 million b. $45.4 million c. $56.8 million d. $57.1 million e. $59.7 million

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Company BSM has total assets with a market value of $100 million financed by debt and equity. The annual volatility (standard deviation) of the total asset return is 30%. The debt is newly issued zero-coupon debt with a face-value of $60 million due for payment in one year. BSM’s assets have zero systematic risk. The risk free interest rate is 5% per annum with continuous compounding. Assume: there are no taxes; BSM will pay no dividends; the future value of BSM’s assets is log-normally distributed; the assets trade in a complete market; and lenders do not anticipate any change in management strategy .

What is the market value of BSM’s debt?

  a.

$43.2 million

  b.

$45.4 million

  c.

$56.8 million

  d.

$57.1 million

  e.

$59.7 million

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