
【說明】各期收益分配及「結構型債券到期金」計算步驟如下:
各期收益分配計算步驟如下:
z 第 1 年(h=1)
假設第 1 觀察期(1997/8/1-1998/7/27)之
d
CMS
1
]10[
-
d
CMS
1
]2[
及兩者差異
d
Spread
1
每日變化如下表:
d 評價日
d
CMS
1
]10[
d
CMS
1
]2[
d
Spread
1
d 評價日
d
CMS
1
]10[
d
CMS
1
]2[
d
Spread
1
d評價日
d
CMS
1
]10[
d
CMS
1
]2[
d
Spread
1
d 評價日
d
CMS
1
]10[
d
CMS
1
]2[
d
Spread
1
1 1997/8/1 6.59% 6.17% 0.42% 67 1997/11/3 6.42% 6.07% 0.35% 133 1998/2/3 6.02% 5.67% 0.35% 199 1998/5/6 6.16% 5.93% 0.23%
2 1997/8/4 6.62% 6.20% 0.42% 68 1997/11/4 6.46% 6.08% 0.38% 134 1998/2/4 6.01% 5.66% 0.35% 200 1998/5/7 6.18% 5.95% 0.23%
3 1997/8/5 6.64% 6.21% 0.43% 69 1997/11/5 6.41% 6.05% 0.36% 135 1998/2/5 6.10% 5.70% 0.40% 201 1998/5/8 6.20% 5.98% 0.22%
4 1997/8/6 6.62% 6.20% 0.42% 70 1997/11/6 6.38% 6.07% 0.31% 136 1998/2/6 6.08% 5.70% 0.38% 202 1998/5/11 6.25% 6.02% 0.23%
5 1997/8/7 6.66% 6.24% 0.42% 71 1997/11/7 6.42% 6.09% 0.33% 137 1998/2/9 6.11% 5.72% 0.39% 203 1998/5/12 6.20% 5.98% 0.22%
6 1997/8/8 6.79% 6.31% 0.48% 72 1997/11/10 6.41% 6.10% 0.31% 138 1998/2/10 6.08% 5.74% 0.34% 204 1998/5/13 6.15% 5.98% 0.17%
7 1997/8/11 6.78% 6.30% 0.48% 73 1997/11/11 6.41% 6.10% 0.31% 139 1998/2/11 6.03% 5.71% 0.32% 205 1998/5/14 6.20% 6.00% 0.20%
8 1997/8/12 6.83% 6.34% 0.49% 74 1997/11/12 6.36% 6.09% 0.27% 140 1998/2/12 6.01% 5.70% 0.31% 206 1998/5/15 6.21% 6.00% 0.21%
9 1997/8/13 6.77% 6.24% 0.53% 75 1997/11/13 6.36% 6.09% 0.27% 141 1998/2/13 5.99% 5.68% 0.31% 207 1998/5/18 6.18% 5.97% 0.21%
10 1997/8/14 6.69% 6.20% 0.49% 76 1997/11/14 6.37% 6.10% 0.27% 142 1998/2/16 5.99% 5.68% 0.31% 208 1998/5/19 6.18% 5.96% 0.22%
11 1997/8/15 6.67% 6.15% 0.52% 77 1997/11/17 6.32% 6.09% 0.23% 143 1998/2/17 5.95% 5.67% 0.28% 209 1998/5/20 6.13% 5.94% 0.19%
12 1997/8/18 6.66% 6.14% 0.52% 78 1997/11/18 6.34% 6.08% 0.26% 144 1998/2/18 5.98% 5.69% 0.29% 210 1998/5/21 6.17% 5.99% 0.18%
13 1997/8/19 6.65% 6.15% 0.50% 79 1997/11/19 6.30% 6.07% 0.23% 145 1998/2/19 6.00% 5.71% 0.29% 211 1998/5/22 6.17% 5.99% 0.18%
14 1997/8/20 6.68% 6.19% 0.49% 80 1997/11/20 6.33% 6.10% 0.23% 146 1998/2/20 6.03% 5.71% 0.32% 212 1998/5/25 6.17% 5.99% 0.18%
15 1997/8/21 6.76% 6.24% 0.52% 81 1997/11/21 6.29% 6.04% 0.25% 147 1998/2/23 6.06% 5.74% 0.32% 213 1998/5/26 6.10% 5.93% 0.17%
16 1997/8/22 6.79% 6.25% 0.54% 82 1997/11/24 6.32% 6.06% 0.26% 148 1998/2/24 6.13% 5.86% 0.27% 214 1998/5/27 6.12% 5.93% 0.19%
17 1997/8/25 6.82% 6.27% 0.55% 83 1997/11/25 6.30% 6.07% 0.23% 149 1998/2/25 6.09% 5.82% 0.27% 215 1998/5/28 6.11% 5.94% 0.17%
18 1997/8/26 6.77% 6.25% 0.52% 84 1997/11/26 6.31% 6.09% 0.22% 150 1998/2/26 6.13% 5.88% 0.25% 216 1998/5/29 6.09% 5.92% 0.17%
19 1997/8/27 6.79% 6.27% 0.52% 85 1997/11/27 6.31% 6.09% 0.22% 151 1998/2/27 6.11% 5.86% 0.25% 217 1998/6/1 6.07% 5.87% 0.20%
20 1997/8/28 6.73% 6.22% 0.51% 86 1997/11/28 6.33% 6.11% 0.22% 152 1998/3/2 6.18% 5.88% 0.30% 218 1998/6/2 6.08% 5.89% 0.19%
21 1997/8/29 6.77% 6.26% 0.51% 87 1997/12/1 6.31% 6.14% 0.17% 153 1998/3/3 6.26% 5.94% 0.32% 219 1998/6/3 6.08% 5.90% 0.18%
22 1997/9/1 6.77% 6.26% 0.51% 88 1997/12/2 6.31% 6.11% 0.20% 154 1998/3/4 6.21% 5.90% 0.31% 220 1998/6/4 6.13% 5.93% 0.20%
23 1997/9/2 6.71% 6.21% 0.50% 89 1997/12/3 6.28% 6.06% 0.22% 155 1998/3/5 6.26% 5.93% 0.33% 221 1998/6/5 6.11% 5.94% 0.17%
24 1997/9/3 6.75% 6.26% 0.49% 90 1997/12/4 6.29% 6.05% 0.24% 156 1998/3/6 6.19% 5.88% 0.31% 222 1998/6/8 6.10% 5.94% 0.16%
25 1997/9/4 6.76% 6.26% 0.50% 91 1997/12/5 6.36% 6.16% 0.20% 157 1998/3/9 6.14% 5.87% 0.27% 223 1998/6/9 6.12% 5.95% 0.17%
26 1997/9/5 6.77% 6.26% 0.51% 92 1997/12/8 6.41% 6.20% 0.21% 158 1998/3/10 6.14% 5.86% 0.28% 224 1998/6/10 6.05% 5.91% 0.14%
27 1997/9/8 6.74% 6.26% 0.48% 93 1997/12/9 6.38% 6.16% 0.22% 159 1998/3/11 6.13% 5.87% 0.26% 225 1998/6/11 5.99% 5.82% 0.17%
28 1997/9/9 6.75% 6.26% 0.49% 94 1997/12/10 6.34% 6.11% 0.23% 160 1998/3/12 6.07% 5.82% 0.25% 226 1998/6/12 5.98% 5.82% 0.16%
29 1997/9/10 6.78% 6.29% 0.49% 95 1997/12/11 6.27% 6.05% 0.22% 161 1998/3/13 6.09% 5.84% 0.25% 227 1998/6/15 5.93% 5.77% 0.16%
30 1997/9/11 6.81% 6.31% 0.50% 96 1997/12/12 6.20% 5.99% 0.21% 162 1998/3/16 6.05% 5.82% 0.23% 228 1998/6/16 6.00% 5.86% 0.14%
31 1997/9/12 6.70% 6.22% 0.48% 97 1997/12/15 6.26% 6.04% 0.22% 163 1998/3/17 6.08% 5.86% 0.22% 229 1998/6/17 6.08% 5.90% 0.18%
32 1997/9/15 6.71% 6.22% 0.49% 98 1997/12/16 6.24% 6.04% 0.20% 164 1998/3/18 6.07% 5.84% 0.23% 230 1998/6/18 6.06% 5.88% 0.18%
33 1997/9/16 6.52% 6.11% 0.41% 99 1997/12/17 6.27% 6.08% 0.19% 165 1998/3/19 6.08% 5.85% 0.23% 231 1998/6/19 6.02% 5.86% 0.16%
34 1997/9/17 6.53% 6.10% 0.43% 100 1997/12/18 6.21% 6.04% 0.17% 166 1998/3/20 6.06% 5.86% 0.20% 232 1998/6/22 6.02% 5.88% 0.14%
35 1997/9/18 6.56% 6.14% 0.42% 101 1997/12/19 6.20% 6.02% 0.18% 167 1998/3/23 6.07% 5.87% 0.20% 233 1998/6/23 6.01% 5.87% 0.14%
36 1997/9/19 6.53% 6.12% 0.41% 102 1997/12/22 6.19% 6.03% 0.16% 168 1998/3/24 6.08% 5.87% 0.21% 234 1998/6/24 6.02% 5.87% 0.15%
37 1997/9/22 6.50% 6.11% 0.39% 103 1997/12/23 6.19% 6.01% 0.18% 169 1998/3/25 6.15% 5.93% 0.22% 235 1998/6/25 6.02% 5.88% 0.14%
38 1997/9/23 6.52% 6.14% 0.38% 104 1997/12/24 6.23% 6.05% 0.18% 170 1998/3/26 6.19% 5.98% 0.21% 236 1998/6/26 6.01% 5.87% 0.14%
39 1997/9/24 6.48% 6.10% 0.38% 105 1997/12/25 6.23% 6.04% 0.19% 171 1998/3/27 6.20% 6.00% 0.20% 237 1998/6/29 6.02% 5.88% 0.14%
40 1997/9/25 6.56% 6.18% 0.38% 106 1997/12/26 6.23% 6.04% 0.19% 172 1998/3/30 6.22% 5.99% 0.23% 238 1998/6/30 6.00% 5.84% 0.16%
41 1997/9/26 6.54% 6.15% 0.39% 107 1997/12/29 6.25% 6.05% 0.20% 173 1998/3/31 6.17% 5.95% 0.22% 239 1998/7/1 5.99% 5.85% 0.14%
42 1997/9/29 6.54% 6.15% 0.39% 108 1997/12/30 6.27% 6.04% 0.23% 174 1998/4/1 6.10% 5.94% 0.16% 240 1998/7/2 5.97% 5.82% 0.15%
43 1997/9/30 6.55% 6.15% 0.40% 109 1997/12/31 6.22% 6.01% 0.21% 175 1998/4/2 6.08% 5.90% 0.18% 241 1998/7/3 5.97% 5.82% 0.15%
44 1997/10/1 6.49% 6.12% 0.37% 110 1998/1/1 6.22% 6.00% 0.22% 176 1998/4/3 6.01% 5.82% 0.19% 242 1998/7/6 5.96% 5.81% 0.15%
45 1997/10/2 6.46% 6.09% 0.37% 111 1998/1/2 6.12% 5.93% 0.19% 177 1998/4/6 6.04% 5.83% 0.21% 243 1998/7/7 5.99% 5.82% 0.17%
46 1997/10/3 6.44% 6.04% 0.40% 112 1998/1/5 6.01% 5.92% 0.09% 178 1998/4/7 6.06% 5.84% 0.22% 244 1998/7/8 5.99% 5.83% 0.16%
47 1997/10/6 6.42% 6.01% 0.41% 113 1998/1/6 5.96% 5.75% 0.21% 179 1998/4/8 6.11% 5.86% 0.25% 245 1998/7/9 5.96% 5.80% 0.16%
48 1997/10/7 6.38% 5.98% 0.40% 114 1998/1/7 6.01% 5.79% 0.22% 180 1998/4/9 6.10% 5.87% 0.23% 246 1998/7/10 5.97% 5.79% 0.18%
49 1997/10/8 6.55% 6.10% 0.45% 115 1998/1/8 5.98% 5.68% 0.30% 181 1998/4/10 6.10% 5.87% 0.23% 247 1998/7/13 6.04% 5.84% 0.20%
50 1997/10/9 6.54% 6.10% 0.44% 116 1998/1/9 5.94% 5.57% 0.37% 182 1998/4/13 6.17% 5.94% 0.23% 248 1998/7/14 6.05% 5.84% 0.21%
51 1997/10/10 6.60% 6.18% 0.42% 117 1998/1/12 5.90% 5.56% 0.34% 183 1998/4/14 6.12% 5.93% 0.19% 249 1998/7/15 6.05% 5.83% 0.22%
52 1997/10/13 6.61% 6.18% 0.43% 118 1998/1/13 5.95% 5.65% 0.30% 184 1998/4/15 6.10% 5.92% 0.18% 250 1998/7/16 6.06% 5.84% 0.22%
53 1997/10/14 6.54% 6.14% 0.40% 119 1998/1/14 5.96% 5.65% 0.31% 185 1998/4/16 6.09% 5.89% 0.20% 251 1998/7/17 6.07% 5.84% 0.23%
54 1997/10/15 6.58% 6.16% 0.42% 120 1998/1/15 5.97% 5.63% 0.34% 186 1998/4/17 6.10% 5.90% 0.20% 252 1998/7/20 6.03% 5.84% 0.19%
55 1997/10/16 6.57% 6.18% 0.39% 121 1998/1/16 6.03% 5.72% 0.31% 187 1998/4/20 6.16% 5.95% 0.21% 253 1998/7/21 6.00% 5.83% 0.17%
56 1997/10/17 6.64% 6.26% 0.38% 122 1998/1/19 6.03% 5.71% 0.32% 188 1998/4/21 6.17% 5.97% 0.20% 254 1998/7/22 6.02% 5.84% 0.18%
57 1997/10/20 6.62% 6.24% 0.38% 123 1998/1/20 6.07% 5.73% 0.34% 189 1998/4/22 6.17% 5.97% 0.20% 255 1998/7/23 6.00% 5.84% 0.16%
58 1997/10/21 6.61% 6.24% 0.37% 124 1998/1/21 6.03% 5.69% 0.34% 190 1998/4/23 6.19% 5.99% 0.20% 256 1998/7/24 6.02% 5.86% 0.16%
59 1997/10/22 6.60% 6.25% 0.35% 125 1998/1/22 6.06% 5.68% 0.38% 191 1998/4/24 6.15% 5.98% 0.17% 257 1998/7/27 6.03% 5.85% 0.18%
60 1997/10/23 6.49% 6.15% 0.34% 126 1998/1/23 6.18% 5.75% 0.43% 192 1998/4/27 6.26% 6.06% 0.20%
61 1997/10/24 6.47% 6.10% 0.37% 127 1998/1/26 6.11% 5.72% 0.39% 193 1998/4/28 6.30% 6.09% 0.21%