Compute of bond's yield to maturity
A zero-coupon bond with a par value of $1,000 matures in 5 years. The firm is in financial distress. There is a 30% chance that the firm will not be able to repay the principle. That is, there is a 30% change that the principle repayment will be zero and a 70% chance that the principle repayment will be the full $1,000. If the price of the bond is $500, what is the bond's expected yield to maturity?