**📅 Date:** ➤ ⌈ [[2025-10-26-Sun〚Forward Interest Rate & Forward Currency Exchange Rate〛]]⌋ **💭 What:** ➤ Is an expected interest rate implied by today's yield curve， compared interest method to analyse the relationship between spot rate and forward rate ➤ Both **forward rates** (interest & FX) express **the market’s view of the future** using **today’s prices and rates**. ➤ They preserve **consistency** across yield curves and currencies. ➤ Core in **risk management（风险管理）**, **derivative pricing（衍生品定价）**, and **global portfolio hedging（全球投资对冲）**. ⇩ 🅻🅸🅽🅺🆂 ⇩ **🗂 Menu**: ➤⌈[[✢ M O C ➣ 10 ⌈O C T - 2 0 2 5⌉ ✢|2025 - O C T - MOC]]⌋ ➤⌈[[✢ L O G ➢ 10 ⌈O C T - 2 0 2 5⌉ ✢|2025 - O C T - LOG]] ⌋ #👾/Private --- ![[Screenshot 2025-10-26 at 19.22.54.png]] ## Concept ### 🔹 Forward Interest Rate（远期利率） A **forward interest rate** is the **implied future short-term interest rate（隐含的未来短期利率）** derived from **today’s yield curve（收益率曲线）**. It represents the **rate agreed today** for a **loan or investment that starts in the future**. > 💡 In simple terms: > “What interest rate must the market expect in the future so that investing short-term or long-term today gives the same return?” --- ## 🔄 Interpretation（解读） - Forward rate ≈ **expected future short-term rate（未来短期利率的市场预期）**. - Ensures **no-arbitrage（无套利）** between different maturities. - Used to **price FRAs（远期利率协议）**, **interest-rate futures（利率期货）**, and **swaps（互换）**. - Reflects **market expectations of monetary policy（货币政策预期）**. --- ## **🧠 Related Concepts（相关概念）** |**Concept**|**Relation**| |---|---| |**Spot Rate（即期利率）**|Basis for deriving forward rates.| |**Yield Curve（收益率曲线）**|Plots spot rates; slope = forward expectations.| |**Term Structure（期限结构）**|Describes rate-maturity relationship.| |**Expectations Theory（预期理论）**|Forward = expected future spot.| |**Liquidity Premium Theory（流动性溢价理论）**|Forward = expected future spot + risk premium.| --- ## ⚙️ Practical Uses（实际应用） - Pricing **bonds**, **FRAs**, **interest-rate swaps** - Forecasting **future rate movements** - Measuring **monetary policy expectations** - Estimating **break-even rates** between maturities --- # 🌍 Forward Currency Exchange Rate（远期外汇汇率） ### Overview A **forward exchange rate（远期汇率）** is the **exchange rate agreed today** for a **currency transaction that will occur in the future**. It locks in a future rate to **eliminate currency risk（汇率风险）**. > 💡 Think of it as: agreeing now what tomorrow’s exchange rate will be for a future payment or receipt. --- ### 🔄 Interpretation - Forward rates **reflect interest rate differentials（反映利差）**, not direct predictions of future spot rates. - If domestic rates > foreign rates → domestic currency **trades at a forward discount（远期贴水）**. - If domestic rates < foreign rates → domestic currency **trades at a forward premium（远期升水）**. --- ### Related Concepts（相关概念） |**Concept**|**Relation**| |---|---| |**Interest Rate Parity（利率平价）**|Core principle linking spot & forward FX.| |**Covered Interest Arbitrage（有套息套利）**|Arbitrage ensures parity between FX and rates.| |**Spot Rate（即期汇率）**|Present market rate; basis for forward calculation.| |**Carry Trade（套息交易）**|Strategy exploiting rate differentials if parity deviates.| ---