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The Treasury bond futures contract allow...

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题目

The Treasury bond futures contract allows the party with the short position to choose to deliver any bond that has a maturity between 15 and 25 years. Assume a certain bond that is valid for delivery matures in 15 years and two months (15.1667 years) and has a coupon rate of 9.0% payable semi-annually. Which is nearest the bond's conversion factor (CF)?

选项

A.0.8530

B.1.0420

C.1.1380

D.1.2940

答案

D

解析

First, we round the maturity down to the nearest three months; in this case, the rounded maturity is 15.0 years. So this turns out to be the simpler case: "If, after rounding, the bond lasts for an exact number of 6-month periods, the first coupon is assumed to be paid in 6 months.“We simply price this bond assuming the yield is 6.0%: N = 30, I/Y = 3, PMT = 4.5, FV = 100 and CPT PV = $129.4007 such that the CF = 1.2940这道题求解的是近似值。首先,四舍五入的期限是15.0年,每六个月支付一次利息。为这个债券定价,假设收益率为6.0%:N = 30, I/Y = 3, PMT = 4.5, FV = 100, CPT PV = 129.4007,这样CF = 1.2940