远期利率

NO.PZ2023091802000084

问题如下：

Given the following bonds and forward rates:

1-year forward rate one year from today = 9.56%

1-year forward rate two years from today = 10.77%

2-year forward rate one year from today = 11.32%

Which of the following statements about the forward rates, based on the bond prices, is true?

选项：

The 1-year forward rate one year from today is too low.

The 2-year forward rate one year from today is too high.

The 1-year forward rate two years from today is too low.

The forward rates and bond prices provide no opportunities for arbitrage.

解释：

1-year forward rate one year from today = 1.07²/1.045 – 1 = 9.56%

1-year forward rate two years from today = 1.09³/1.07² – 1 = 13.11%

2-year forward rate one year from today = (1.09³/1.045)^0.5 – 1 = 11.32%

题目没给，怎么区分单利还是复利？

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品职答疑小助手雍 · 2023年10月22日

同学你好，forward这种问题一般都用复利或者连续复利，不会用单利的。

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NO.PZ2023091802000084 问题如下 Given the followingbon anforwarrates: 1-yeforwarrate one yefrom toy = 9.56% 1-yeforwarrate two years from toy =10.77% 2-yeforwarrate one yefrom toy =11.32% Whiof the following statements about theforwarrates, baseon the bonprices, is true? A.The 1-yeforwarrate one yefrom toy is too low. B.The 2-yeforwarrate one yefrom toy is too high. C.The 1-yeforwarrate two years from toy is too low. The forwarrates anbonprices provi no opportunities for arbitrage. 1-yeforwarrate one yefrom toy = 1.072/1.045 – 1 = 9.56% 1-yearforwarrate two years from toy = 1.093/1.072 – 1 = 13.11% 2-yearforwarrate one yefrom toy = (1.093/1.045)0.5– 1 = 11.32%

2024-04-27 21:23 1 · 回答

远期利率

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