Annual series of unequal cash flows for limited time period

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A Step-Up Note is a type of bond with a coupon rate that increases over time according to a contractual schedule as shown below. The Note pays coupons semi-annually on May 15 and November 15 and has a term to maturity of 6 years. Assume today is November 15 so there is exactly 6 months to the next coupon. Par is $1,000. The Step-Up Note differs from the typical bond because the coupons cannot be treated as an ordinary annuity [a fixed cash flow for a limited term] so the PMT key on the calculator cannot be used. The Note is a semi-annual series of unequal cash flows for a limited time period.

Year   1   2   3   4   5   6

Coupon   15-May-17   15- May-17   15-May-18   15-May-19   15-May-20   15-May-21

Dates:   15-Nov-17   15-Nov-18   15-Nov-19   15-Nov-20   15-Nov-21   15-Nov-22

Coupon   3.00%   3.50%   4.00%   4.50%   5.00%   6.00%

If the Note is trading at 102.25, the Yield to Maturity of the Step-Up Note is:

a.   1.89%

b.   2.13%

c.   3.47%

d.   3.77%

e.   4.25%

Reference no: EM131326897

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