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To answer this question, please start by builiding and calibrating a 1 0 - period Black - Derman - Toy model for the short -
To answer this question, please start by builiding and calibrating a period BlackDermanToy model for the
shortrate, You may assume that the termstructure of interest rates observed in the market place is:
Period
As in the video modules, these interest rates assume perperiod compounding. For example, the marketprice of a
zerocoupon bond that matures in period is assuming a face value of
Assume is a constant for all in the BDT model as we assumed in the video lectures. Calibrate the
parameters so that the model termstructure matches the market termstructure. Be sure that the final error
returned by Solver is at most This can be achieved by rerunning Solver multiple times if necessary, starting
each time with the solution from the previous call to Solver.
Once your model has been calibrated, compute the price of a payer swaption with notional $ that expires at
time with an option strike of You may assume the underlying swap has a fixed rate of and that if
the option is exercised then cashflows take place at times dots,The cashflow at time is based
on the shortrate that prevailed in the previous period, ie the payments of the underlying swap are made in
arrears.
Submission Guideline: Give your answer rounded to the nearest integer. For example, if you compute the answer
to be submit
To answer this question, please continue using the calibrated model from the last question.
Repeat the previous question but now assume a value of
Submission Guideline: Give your answer rounded to the nearest integer. For example, if you compute the answer
to be submit
Please refer to the material on defaultable bonds and creditdefault swaps CDS to answer this question.
Construct a period binomial model for the shortrate, dots The lattice parameters are:
and This is the same lattice that you constructed in
Assignment
Assume that the step hazard rate in node is given by where and
Compute the price of a zerocoupon bond with face value and recovery
Submission Guideline: Give your answer rounded to two decimal places. For example, if you compute the answer
tPlease answer the following questions:
o be submit
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