CFA Level I · CFA Level I Exam · Yield and Yield Spread Measures for Floating-Rate Instruments
An analyst values a two-year annual-pay FRN with par of 100, a quoted margin of 50 bps, and a required margin of 90 bps. The reference rate is 3.00% for both years. The FRN's price is closest to:
The price is about 99.22. Coupons are 3.50 (3.00% reference plus 0.50% margin) and are discounted at 3.90% (3.00% plus the 0.90% required margin) for two years with par of 100 repaid at maturity, giving roughly 99.24.
- A98.43Correct
- B99.22
- C99.78
Explanation
Coupon = 3.50% = 3.50. Discount rate = 3.90%. PV = 3.50/1.039 + 103.50/1.039^2 = 3.3686 + 95.8795 = 99.248. Recheck: 1.039^2 = 1.079521; 103.5/1.079521 = 95.8742; total 99.243. This is closest to 99.22, so the key is the second option. Using the margin difference only (0.40 x 2 years = 0.80) gives about 99.2 too, but a coupon-only error gives 98.43.
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