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🤨肖大YAN😊 · 2020年11月06日

问一道题:NO.PZ2016031002000031

问题如下:

The following spot and forward rates have been given:

  • Current 1-year spot rate is 6%.
  • One-year forward rate one year from today is 8%.
  • One-year forward rate two years from today is 10%.

What's the value of a 3-year, 10% annual-pay, $1000 par value bond?

选项:

A.

$996.

B.

$1,055.

C.

$1,086.

解释:

B is correct.

lBond value=1001.06+100(1.06)(1.08)+1100(1.06)(1.08)(1.1){l}Bond\text{ }value=\\\frac{100}{1.06}+\frac{100}{(1.06)(1.08)}+\frac{1100}{(1.06)(1.08)(1.1)}\\=$1055.21

为什么不能

(1+S3)3次方 = (1+S1)*(1+1y1y)2次方*(1+2y1y)3次方

S3=18.06%


最后用计算器

N=3 I/Y=18.06 PMT=100 FV=1000

算PV呢

谢谢


1 个答案

WallE_品职答疑助手 · 2020年11月06日

同学您好,

你这么计算是不对的,你算出来了S3,是3年期的折现率,而1时刻和2时刻用spot rate折现 是不能也用18.06%折的

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