Add training workflow, datasets, and runbook
This commit is contained in:
@@ -0,0 +1,29 @@
|
||||
American-Exercise Options
|
||||
Put-call parity was designed for European-style options. The early exercise
|
||||
possibility of American-style options gums up the works a bit. Because a
|
||||
call (put) and a synthetic call (put) are functionally the same, it is logical to
|
||||
assume that the implied volatility and the greeks for both will be exactly the
|
||||
same. This is not necessarily true with American-style options. However,
|
||||
put-call parity may still be useful with American options when the
|
||||
limitations of the equation are understood. With at-the-money American-
|
||||
exercise options, the differences in the greeks for a put-call pair are subtle.
|
||||
Exhibit 6.5 is a comparison of the greeks for the 50-strike call and the 50-
|
||||
strike put with the underlying at $50 and 66 days until expiration.
|
||||
EXHIBIT 6.5 Greeks for a 50-strike put-call pair on a $50 stock.
|
||||
Call Put
|
||||
Delta 0.5540.457
|
||||
Gamma0.0750.078
|
||||
Theta 0.0200.013
|
||||
Vega 0.0840.084
|
||||
The examples used earlier in this chapter in describing the deltas of
|
||||
synthetics were predicated on the rule of thumb that the absolute values of
|
||||
call and put deltas add up to 1.00. To be a bit more realistic, consider that
|
||||
because of American exercise, the absolute delta values of put-call pairs
|
||||
don’t always add up to 1.00. In fact, Exhibit 6.5 shows that the call has
|
||||
closer to a 0.554 delta. The put struck at the same price then has a 0.457
|
||||
delta. By selling 100 shares against the long call, we can create a combined-
|
||||
position delta (call delta plus stock delta) that is very close to the put’s
|
||||
delta. The delta of this synthetic put is −0.446 (0.554 − 1.00). The delta of a
|
||||
put will always be similar to the delta of its corresponding synthetic put.
|
||||
This is also true with call–synthetic-call deltas. This relationship
|
||||
mathematically is
|
||||
Reference in New Issue
Block a user