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Answer: CNY 9.33
## Explanation **Forward Bucket '01 Calculation** The forward bucket '01 measures the change in a bond's value when forward rates in a specific time bucket increase by 1 basis point (0.01%). ### Step 1: Calculate Current Bond Value - Annual coupon = 5% × CNY 100,000 = CNY 5,000 - Flat forward rate curve at 3% - Maturity = 3 years Current bond value: $$ \frac{5,000}{1.03} + \frac{5,000}{1.03^2} + \frac{105,000}{1.03^3} = 105,657.22 $$ ### Step 2: Apply 1 bp Shift to 2-3 Year Forward Bucket When forward rates in the 2-3 year bucket increase by 1 bp: - Year 1 forward rate remains at 3% - Year 2 forward rate becomes 3.01% - Year 3 forward rate becomes 3.01% Bond value after shift: $$ \frac{5,000}{1.03} + \frac{5,000}{1.03 \cdot 1.0301} + \frac{105,000}{1.03 \cdot 1.0301 \cdot 1.0301} = 105,647.89 $$ ### Step 3: Calculate Forward Bucket '01 $$ \text{Forward Bucket '01} = 105,657.22 - 105,647.89 = \text{CNY } 9.33 $$ ### Why Other Options Are Incorrect - **B (CNY 19.11)**: Incorrectly calculates the bond value after shift as 105,638.11 - **C (CNY 20.04)**: Incorrectly applies the shift to wrong periods - **D (CNY 27.98)**: Incorrectly applies the shift only to the final cash flow This calculation demonstrates how forward bucket '01 isolates the interest rate sensitivity of cash flows in specific forward time periods.
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An investment analyst is calculating the forward bucket 01 of a bond. The bond pays a 5% coupon annually, has a face value of CNY 100,000, and matures in 3 years. The analyst notes that the forward rate curve is flat at 3% (with all forward rates calculated for 1-year periods), and uses two forward buckets of 0-2 years and 2-3 years. What is the forward bucket 01 of the bond for the 2-3 year bucket, assuming an upward shift in interest rates?
A
CNY 9.33
B
CNY 19.11
C
CNY 20.04
D
CNY 27.98
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