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苏·Xu · 2025年02月07日

经济

NO.PZ2023071902000003

问题如下:

Question

Given the data below:

Exchange rate for New Zealand dollar (NZD) to British pound (GBP): 2.1050

Libor interest rate for the British pound: 1.6520%

Libor interest rate for the New Zealand dollar: 3.3050%

All Libor rates are provided on a 360-day year basis

What is the closest 180-day forward points (multiplied by four decimal places) for NZD/GBP?

选项:

A.39 B.172 C.339

解释:

  1. The principle of covered interest arbitrage ensures that the same initial amounts invested at the domestic interest rates of their respective countries will yield identical end values:

    GBP calculation: ₤1 × (1 + 0.016520 × 180/360) = ₤1.00826

    NZD calculation: NZ$2.1050 × (1 + 0.033050 × 180/360) = NZ$2.1398

    The forward rate is found by equating these two end values:

    NZD/GBP forward rate = NZ$2.1398/₤1.00826 = 2.1222

    Forward points = (Forward Rate – Spot Rate) × 10,000

    = (2.1222– 2.1050) × 10,000

    = 172

Exchange Rate Calculations

• explain the arbitrage relationship between spot and forward exchange rates and interest rates, calculate a forward rate using points or in percentage terms, and interpret a forward discount or premium

利差套利原则确保以各自国家的国内利率投资的相同初始金额将产生相同的最终价值:

英镑计算:£1 × (1 + 0.016520 × 180/360) =£1.00826

新西兰元计算:新西兰元2.1050 × (1 + 0.033050 × 180/360) =新西兰元2.1398

通过将这两个最终等价,可以求得远期汇率:

纽元兑英镑远期汇率= 2.1398纽元÷1.00826英镑= 2.1222

远期点=(远期汇率-即期汇率)× 10000

= (2.1222 - 2.1050) × 10,000

= 172

这道题可以用F/S=(1+ra)/(1+rb) 这个公式的思路来解答吗

1 个答案

源_品职助教 · 2025年02月08日

嗨,努力学习的PZer你好:


这道题,题目给的解法是先求Forward Rate,然后再求Forward points。

而求Forward Rate的过程,就是运用F/S=(1+ra)/(1+rb)这个公式的思路去求解的。

也就是F=S*(1+ra)/(1+rb)


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