Assume that an appropriate discount rate for$$ A$-$Rod to apply to the contract payments is $7\%$ per year.

a$.$ Calculate the true promised payments under this$$ contract, including the deferred payments with interest.

b$.$ Draw a timeline of all of the payments.

c$.$ Calculate the present value of the contract.

d$.$ Compare the present value of the contract to the quoted value of $ $252$ million. What explains the$$ difference?