Answer: less than the price using Sequence 2.

## Explanation To determine which bond price is higher, we need to calculate the present value of the bond's cash flows using both spot rate sequences. **Bond Details:** - 3-year bond with 2% annual coupon - Face value: Assume $100 - Annual coupon payment: $2 (2% of $100) - Cash flows: $2 at Year 1, $2 at Year 2, $102 at Year 3 (coupon + principal) **Price Calculation using Sequence 1:** - Year 1 spot rate: 2.0% = 0.02 - Year 2 spot rate: 3.5% = 0.035 - Year 3 spot rate: 4.7% = 0.047 Price₁ = $2/(1.02) + $2/(1.035)² + $102/(1.047)³ = $1.9608 + $1.8669 + $89.0147 = $92.8424 **Price Calculation using Sequence 2:** - Year 1 spot rate: 4.7% = 0.047 - Year 2 spot rate: 3.5% = 0.035 - Year 3 spot rate: 2.0% = 0.02 Price₂ = $2/(1.047) + $2/(1.035)² + $102/(1.02)³ = $1.9102 + $1.8669 + $96.1169 = $99.8940 **Comparison:** Price₁ = $92.84 < Price₂ = $99.89 **Key Insight:** The bond price is lower when discounting with higher spot rates for later cash flows. In Sequence 1, the 3-year spot rate (4.7%) is much higher than in Sequence 2 (2.0%). Since the largest cash flow ($102) occurs at Year 3, the higher discount rate in Sequence 1 significantly reduces the present value of this cash flow, making the overall price lower. **Therefore, the price using Sequence 1 is less than the price using Sequence 2.**

Author: LeetQuiz .