Royal Bank of Belgium (RBB) will be worth €100 million or €120 million with equal probability in one year. RBB is highly leveraged and has bonds outstanding promising to pay €90 million next year. RBB is considering a risky project that will payoff €50 million or -€65 million with equal probability. Would RBB’s shareholders want you to engage in the risky project? What is the expected payoff to RBB’s existing shareholders? How would your answers change if the bondholders could convert the bond to 80% of RBB’s equity?

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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Royal Bank of Belgium (RBB) will be worth €100 million or €120 million with equal probability in one year. RBB is highly leveraged and has bonds outstanding promising to pay €90 million next year. RBB is considering a risky project that will payoff €50 million or -€65 million with equal probability. Would RBB’s shareholders want you to engage in the risky project? What is the expected payoff to RBB’s existing shareholders? How would your answers change if the bondholders could convert the bond to 80% of RBB’s equity?

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