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kevinzhu · 2020年02月17日

问一道题:NO.PZ2018062006000014

问题如下:

A five-year semi-annual capital-indexed bond is issued with the coupon rate of 8%, par value of $1000. It is indexed to the inflation rate of Unite States. Assume the inflation rate is increased by 3%, which of the following is least appropriate?

选项:

A.

The coupon payment becomes $41.2.

B.

The principal value becomes $1030.

C.

The coupon rate is increased to 10%.

解释:

C is correct.

A capital-indexed bond remains the coupon rate constant and the principal value increases in line with the inflation rate during the bond's life. Thus, the interest payments and  the principal value are adjusted for the inflation. Coupon rate is still 8% and principal value becomes 1,000×(1+3%)=$1,030. The coupon payment equals $1030×8%×(1/2)=$41.2.

The coupon payment equals $1030×8%×(1/2)=$41.2

1/2是因为semi-annual, 这里的coupon payment指的是每一期还是每一年的?

1 个答案

吴昊_品职助教 · 2020年02月18日

A five-year semi-annual capital-indexed bond is issued with the coupon rate of 8%,这里给出的coupon rate(8%)是年化利率,这个债券是半年付息一次,所以每一期的coupon payment要乘0.5。