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Cl,opter 32: Structured Products
Option
5-year call, strike = 10
5-year call, strike = 25
Theoretical Price
7.30
3.70
611
Thus, the value of the bull spread would be approximately 3.60 (7.30 minus
3.70). The structured product would then be worth 13.60- the base price of 10, plus
the value of the spread:
"Theoretical" cash value= 10 + 3.60 - Cost of carry= 13.60 - Cost of carry
It may seem strange to say that the value of the structured product is actually
less than the cash value, but that is what the call feature does: It reduces the worth
of the structured product to values below what the cash value formula would indi­
cate.
Given this information, we can predict where the structured product would trade at
any price or at any time prior to maturity. Let's look at a more extreme example, then,
one in which the Internet index has a tremendously big run to the upside.
Example: Suppose that the Internet index has risen to 525 with four years of life
remaining until maturity of the structured product. This is well above the index­
equivalent call price of 375. Again, it is first necessary to translate the index price
back to an equivalent price of the structured product, using either percentage gains
or the cash value formula:
Cash value = 10 x (525/ 150) = 35
Again, using the Black-Scholes model, we can determine the following theo­
retical values:
Underlying price: 35
Option
3-year c~strike = 10
3-year call, strike = 25
Theoretical Price
25.50
14.70
Now, the value of the bull spread is 10.80 (25.50 minus 14.70). The deepest in­
the-money option is trading near parity, but the (written) option is only 10 points in­
the-money and thus has quite a bit of time value premium remaining, since there are
three years of life left:
"Theoretical" cash value = 10 + 10.80 = 20.80 - Cost of carry