[問題] ASM FM exam2 18
題目是
A company pays 100 for a bond with annual coupons X to get an effective rate of
5%. The amount of interest in the 5th coupon is 4.85. Determine X.
解答是 5.70.
後面解答其實我看得懂.. 方法是 B4 = 100 * (1+5%)^4 - X * S(4) -->精算符號不好打
I5 = 4.85 = 0.05 * B4 求得 X= 5.70
但是我的方法是 100 = X * a(n) + P * v^n --> 5-X = -X * v^n + 0.05 * P * v^n
...........(1)
然後 B4 = X * a(n-4) + P * v^(n-4)
一樣利用 I5 = i * B4 = X * (1 - v^(n-4)) + 0.05 * P * v^(n-4)
= X + v^(-4) * ( -X * v^n + 0.05 * P * v^n) (將(1)代入)
= X + v^(-4) * (5 - X) = 4.85
可是我的方法求不出答案.. 不知道自己的算式哪裡有盲點..
可以請各位高手幫忙看一下嘛?? 謝謝~~~ >"<
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