Add training workflow, datasets, and runbook
This commit is contained in:
@@ -0,0 +1,35 @@
|
||||
Gopter 32: Structured Products 597
|
||||
Cash value of SIS $10 + $10 x 1.15 x ($MID - 166.10) / 166.10
|
||||
where
|
||||
Guarantee price = $10
|
||||
Underlying index: S&P Midcap 400 ($MID)
|
||||
Striking price: 166.10
|
||||
Participation rate: 115% of the increase of $MID above 166.10
|
||||
SIS matured seven years later, on June 2, 2000. At the time of issuance, seven-year
|
||||
interest rates were about 5.5%, so the "money in the bank" formula shows that one
|
||||
could have made about 4.7 points on a $10 investment, just by utilizing risk-free gov
|
||||
ernment securities:
|
||||
Money in the bank= 10 x e0-055 x 7 = 14.70
|
||||
We can't simply say that the cost of the imbedded call was 4. 7 points, though, because
|
||||
the participation rate is not 100% - it's greater. So we need to find out the Final Value
|
||||
of $MID that results in the cash value being equal to the "money in the bank" result.
|
||||
Using the cash value formula and inserting all the terms except the final value of
|
||||
$MID, we have the following equation. Note: $MIDMIB stands for the value of $MID
|
||||
that results in the "money in the bank" cash value, as computed above.
|
||||
14.70 = 10 + 10 X 1.15 X ($MIDMIB 166.10) I 166.10
|
||||
Solving for $MIDMIB' we get a value of 233.98. Now, convert this to a percent
|
||||
gain of the striking price:
|
||||
Imbedded call price = 233.98 I 166.10 - 1 = 0.4087
|
||||
Hence, the imbedded call costs 40.87% of the guarantee price. In this example,
|
||||
where the guarantee price was $10, that means the imbedded call cost $4.087.
|
||||
Thus, a more generalized formula for the value of the imbedded call can be
|
||||
construed from this example. This formula only works, though, where the participa
|
||||
tion rate is a fixed percentage of the strike price.
|
||||
Imbedded call value= Guarantee price x (Final Index ValueMIB / Striking Price - 1)
|
||||
Final Index ValueMIB is the final index price that results in the cash value
|
||||
being equal to the "money in the bank" calculation, where
|
||||
Money in the bank = Guarantee Price x ert
|
||||
r = risk-free interest rate
|
||||
t = time to maturity
|
||||
Thus, the calculated value of the imbedded call was approximately 4.087 points,
|
||||
which is an implied volatility of just over 26%. At the time, listed short-term options
|
||||
Reference in New Issue
Block a user