Answer: Chart A

## Explanation In the term structure of interest rates, the relationship between spot rates and forward rates follows specific mathematical principles: - **Spot rates** represent the yield on a zero-coupon bond for a given maturity - **Forward rates** represent the implied future interest rate between two future periods ### Key Relationship: The forward rate between time T and T+1 can be derived from spot rates using the formula: \[ (1 + s_{T+1})^{T+1} = (1 + s_T)^T \times (1 + f_{T,T+1}) \] Where: - \( s_T \) = spot rate for maturity T - \( s_{T+1} \) = spot rate for maturity T+1 - \( f_{T,T+1} \) = forward rate from T to T+1 ### Forward Rate Behavior: - When the spot rate curve is **upward sloping**, forward rates are **higher** than spot rates - When the spot rate curve is **downward sloping**, forward rates are **lower** than spot rates - When the spot rate curve is **flat**, forward rates equal spot rates Based on standard term structure theory, the correct chart should show: - Forward rates lying **above** spot rates when the spot curve is upward sloping - A smooth relationship between the two curves The correct answer is **Chart A** as it properly represents the mathematical relationship between spot rates and forward rates in an upward-sloping yield curve environment.

Author: LeetQuiz .