The mapping
is important for trading vanilla options. Observe that this function does not depend on
or
, just on
. Quoting vega in % foreign will additionally remove the spot dependence. This means that for a moderately stable foreign termstructure curve, traders will be able to use a moderately stable vega matrix. I.e. for
the vega matrix looks like this.
| Mat/ |
50% | 45% | 40% | 35% | 30% | 25% | 20% | 15% | 10% | 5% |
| 1D | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 |
| 1W | 6 | 5 | 5 | 5 | 5 | 4 | 4 | 3 | 2 | 1 |
| 1W | 8 | 8 | 8 | 7 | 7 | 6 | 5 | 5 | 3 | 2 |
| 1M | 11 | 11 | 11 | 11 | 10 | 9 | 8 | 7 | 5 | 3 |
| 2M | 16 | 16 | 16 | 15 | 14 | 13 | 11 | 9 | 7 | 4 |
| 3M | 20 | 20 | 19 | 18 | 17 | 16 | 14 | 12 | 9 | 5 |
| 6M | 28 | 28 | 27 | 26 | 24 | 22 | 20 | 16 | 12 | 7 |
| 9M | 34 | 34 | 33 | 32 | 30 | 27 | 24 | 20 | 15 | 9 |
| 1Y | 39 | 39 | 38 | 36 | 34 | 31 | 28 | 23 | 17 | 10 |
| 2Y | 53 | 53 | 52 | 50 | 48 | 44 | 39 | 32 | 24 | 14 |
| 3Y | 63 | 63 | 62 | 60 | 57 | 53 | 47 | 39 | 30 | 18 |