Add training workflow, datasets, and runbook
This commit is contained in:
@@ -0,0 +1,37 @@
|
||||
Appendix C: Put-Call Parity • 289
|
||||
traded on the New Y ork Stock Exchange and the price of IBM traded in
|
||||
Philadelphia) but are not. An arbitrageur, once he or she spots the small
|
||||
difference, sells the more expensive thing and buys the less expensive one
|
||||
and makes a profit without accepting any risk.
|
||||
Because we are going to investigate dividend arbitrage, even a big-
|
||||
picture guy like me has to get down in the weeds because the differences we
|
||||
are going to try to spot are small ones. The weeds into which we are wading
|
||||
are mathematical ones, I’m afraid, but never fear—we’ll use nothing more
|
||||
than a little algebra. We’ll use these variables in our discussion:
|
||||
K = strike price
|
||||
C
|
||||
K = call option struck at K
|
||||
PK = put option struck at K
|
||||
Int = interest on a risk-free instrument
|
||||
Div = dividend payment
|
||||
S = stock price
|
||||
Because we are talking about arbitrage, it makes sense that we are
|
||||
going to look at two things, the value of which should be the same. We
|
||||
are going to take a detailed look at the preceding image, which means that
|
||||
we are going to compare a position composed of options with a position
|
||||
composed of stock.
|
||||
Let’s say that the stock at which we were looking to build a position is
|
||||
trading at $50 per share and that options on this stock expire in exactly one
|
||||
year. Further, let’s say that this stock is expected to yield $0.25 in dividends
|
||||
and that the company will pay these dividends the same day that the op-
|
||||
tions expire.
|
||||
Let’s compare the two positions in the same way as we did in the
|
||||
preceding big-picture image. As we saw in that image, a long call and a
|
||||
short put are the same as a stock. Mathematically, we would express this
|
||||
as follows:
|
||||
C
|
||||
K − PK = SK
|
||||
Although this is simple and we agreed that it’s about right, it is not
|
||||
technically so.
|
||||
The preceding equation is not technically right because we know that
|
||||
a stock is an unlevered instrument and that options are levered ones. In the
|
||||
Reference in New Issue
Block a user