Given the following information:

1-year zero-coupon Corporate yield: 12%

2-year zero-coupon Corporate yield: 15%

1-year zero-coupon Treasury bonds yield: 7%

2-year zero-coupon Treasury bonds yield: 10%

Assume periodicity of 1 (i.e. annual compounding) and also assume that the recovery rate expected by bondholders is zero.

What is this firms marginal probability of default in the first year?

what is the forward rate (f _1,2) between year 1 and year 2 for the corporate bonds?

what is the forward rate (f _1,2) between year 1 and year 2 for the treasury bonds?

what is this firms marginal probability of default in the second year?

what is this firms 2-year cumulative probability of default?