Comparison of the value of a Bermudan call option between the MBRT–CRRA and the LSM–CRRA
| Sigma//gamma | −0.9 | −0.5 | 0 | 0.5 | 0.9 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| min | mean | max | min | mean | max | min | mean | max | min | mean | max | min | mean | max | |
| 0.05 | 0.14* | 0.120* | 0.082* | 0.04* | 0.006* | ||||||||||
| 0.141 | 0.152 | 0.158 | 0.117 | 0.122 | 0.126 | 0.08 | 0.083 | 0.085 | 0.04 | 0.042 | 0.044 | 0.007 | 0.008 | 0.009 | |
| 0.2 | 0.982* | 0.831* | 0.608* | 0.338* | 0.074* | ||||||||||
| 0.964 | 0.995 | 1.03 | 0.824 | 0.846 | 0.876 | 0.599 | 0.617 | 0.645 | 0.315 | 0.342 | 0.368 | 0.064 | 0.074 | 0.082 | |
| 0.35 | 1.732* | 1.524* | 1.175* | 0.691* | 0.15 * | ||||||||||
| 1.7 | 1.749 | 1.815 | 1.51 | 1.544 | 1.601 | 1.153 | 1.192 | 1.228 | 0.663 | 0.699 | 0.737 | 0.148 | 0.16 | 0.176 | |
| 0.5 | 2.339* | 2.139* | 1.742* | 1.086* | 0.252* | ||||||||||
| 2.291 | 2.348 | 2.411 | 2.113 | 2.165 | 2.227 | 1.695 | 1.753 | 1.803 | 1.047 | 1.1 | 1.144 | 0.241 | 0.266 | 0.292 | |
| Sigma//gamma | −0.9 | −0.5 | 0 | 0.5 | 0.9 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| min | mean | max | min | mean | max | min | mean | max | min | mean | max | min | mean | max | |
| 0.05 | 0.14* | 0.120* | 0.082* | 0.04* | 0.006* | ||||||||||
| 0.141 | 0.152 | 0.158 | 0.117 | 0.122 | 0.126 | 0.08 | 0.083 | 0.085 | 0.04 | 0.042 | 0.044 | 0.007 | 0.008 | 0.009 | |
| 0.2 | 0.982* | 0.831* | 0.608* | 0.338* | 0.074* | ||||||||||
| 0.964 | 0.995 | 1.03 | 0.824 | 0.846 | 0.876 | 0.599 | 0.617 | 0.645 | 0.315 | 0.342 | 0.368 | 0.064 | 0.074 | 0.082 | |
| 0.35 | 1.732* | 1.524* | 1.175* | 0.691* | 0.15 * | ||||||||||
| 1.7 | 1.749 | 1.815 | 1.51 | 1.544 | 1.601 | 1.153 | 1.192 | 1.228 | 0.663 | 0.699 | 0.737 | 0.148 | 0.16 | 0.176 | |
| 0.5 | 2.339* | 2.139* | 1.742* | 1.086* | 0.252* | ||||||||||
| 2.291 | 2.348 | 2.411 | 2.113 | 2.165 | 2.227 | 1.695 | 1.753 | 1.803 | 1.047 | 1.1 | 1.144 | 0.241 | 0.266 | 0.292 | |
Note(s): In each volatility scenario, the first row displays the MBRT–CRRA premium (*), while the second row presents the minimum, mean and maximum values of the LSM–CRRA method over 50 repetitions
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