Question
1. Compute the price of a zero-coupon bond (ZCB) that matures at timet=10 and that has face value 100. Submission Guideline: Give your answer rounded
1.
Compute the price of a zero-coupon bond (ZCB) that matures at timet=10
and that has face value 100.
Submission Guideline:Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
2.
Compute the price of a forward contract on the same ZCB of the previous question where the forward contract matures at timet=4
.
Submission Guideline:Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
3.
Compute the initial price of a futures contract on the same ZCB of the previous two questions. The futures contract has an expiration oft=4
.
Submission Guideline:Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
4.
Compute the price of an American call option on the same ZCB of the previous three questions. The option has expirationt=6
and strike=80
.
Submission Guideline:Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
5.
Compute the initial value of a forward-starting swap that begins att=1
, with maturityt=10
and a fixed rate of 4.5%. (The first payment then takes place att=2
and the final payment takes place att=11
as we are assuming, as usual, that payments take place in arrears.) You should assume a swap notional of 1 million and assume that you receive floating and pay fixed.)
Submission Guideline:Give your answer rounded to the nearestinteger. For example, if you compute the answer to be -220,432.23, submit -220432.
6.
Compute the initial price of a swaption that matures at timet=5
and has a strike of 0. The underlying swap is the same swap as described in the previous question with a notional of 1 million. To be clear, you should assume that if the swaption is exercised att=5
then the owner of the swaption will receive all cash-flows from the underlying swap from timest=6
tot=11
inclusive. (The swaption strike of 0 should also not be confused with the fixed rate of 4.5% on the underlying swap.)
Submission Guideline:Give your answer rounded to the nearestinteger. For example, if you compute the answer to be -220,432.23, submit -220432.
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