Hi

I am banging my head on this one, but I dont understand why the total value of debt is 700k (as the answer says). it says if the company defaults, you get 200k. if it does not default, you get 500k. How come the answer is not 500k? recovery rate is 40%, but why the total debt is 700k is a mystery to me.

the solution explanation makes sense, assuming that the numbers 500 and 200 are already probability adjusted (i.e. expected value), which the solution asserts so

I can not see the logic in the answer.

The answer assumes the company does not default, after it assumes that default occurs. So, there are two scenarios: default or not default. Suppose the first scenario occurs with probability p, the value of debt must be

500*p + 200*(1-p)=200+300p

Where am I wrong?

ok. I get it if that is the case. by “discounted payoff”, the book means it is the expected value.

so to PierreCFA’s point:

if the probability of default is .285714, 1-p= .714286.

.285714*700+.714286*700=700

expected value of default is .285714*700=200

expected value of not default is 500= .714286*700

strange way of wording it though

So I’m not wrong. And the answer in Curriculum is explained more in detail by pm_me.

Yes, the wording is not clear.