
Explanation:
The correct answer is A.
The CMT swap pays:
$7,000,000 \cdot \frac{Y_{CMT} - 7%}{2}$
After 6 months, assuming a 0.5% increment or decrement from the current 7% rate, the possible rates are 7.5% and 6.5%. The corresponding payoffs are:
$7,000,000 \times \frac{7.5% - 7%}{2} = `$7,000,000 \times \frac{6.5% - 7%}{2} = -`After 1 year, the rates can change by another 0.5%, resulting in possible rates of 8%, 7%, and 6%. The corresponding payoffs are:
$7,000,000 \times \frac{8% - 7%}{2} = `$7,000,000 \times \frac{7% - 7%}{2} = `$7,000,000 \times \frac{6% - 7%}{2} = -`Ultimate access to all questions.
Q.2851 A $7 million face value of a stylized constant-maturity treasury (CMT) swap is struck at 7%. It is a one-year CMT swap on the six-month yield in 0.5% increments. Calculate the possible payoffs of the CMT swap after 6 months and one year.
A
6 months: $17,500 and -$17,500; One year: $35,000, 0 and -$35,000
B
6 months: $35,000 and -$35,000; One year: $70,000, 0 and -$70,000
C
6 months: $8,750 and -$8,750; One year: $17,000, 0 and -$17,000
D
None of the above
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