A zero-coupon bond promises to pay $1000 in three years. However, there is a 20% probability that the bond issuer defaults and investors are only able to get $780. There is a further 10% probability that the bond issuer defaults and investors get nothing ($0).

To clarify, there is a 70% probability that the bond pays off the full $1000 and a 30% total probability that the bond defaults and the investors get less than $1000.

Assume that investors are risk neutral and that time-equivalent treasuries offer an interest rate of 7% per year. The bond is zero-coupon, so makes no intermediate payments.

Question 1: What is the expected payoff (in dollars) of the bond in three years?

Question 2: What is the current traded price of the bond today? (Remember that the bond pays off or defaults in three years.)