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In finance, a Bond+Option is a
capital guarantee A capital guarantee product means that when an investor buys, or "enters", this specific structured product he is guaranteed to get back at maturity a part or the totality of the money he invested on day one. Examples of capital guarantees include ...
product that provides an investor with a fixed, predetermined participation to an option. Buying the
zero-coupon bond A zero coupon bond (also discount bond or deep discount bond) is a bond in which the face value is repaid at the time of maturity. Unlike regular bonds, it does not make periodic interest payments or have so-called coupons, hence the term zero- ...
ensures the guarantee of the capital, and the remaining proceeds are used to buy an option.


Structure

As an example, we can consider a bond+call on 5 years, with
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as an
underlying In finance, a derivative is a contract that ''derives'' its value from the performance of an underlying entity. This underlying entity can be an asset, index, or interest rate, and is often simply called the "underlying". Derivatives can be use ...
. Say it is a USD
currency A currency, "in circulation", from la, currens, -entis, literally meaning "running" or "traversing" is a standardization of money in any form, in use or circulation as a medium of exchange, for example banknotes and coins. A more general ...
option, and that 5 year rates are 4.7%. That gives you a
zero-coupon bond A zero coupon bond (also discount bond or deep discount bond) is a bond in which the face value is repaid at the time of maturity. Unlike regular bonds, it does not make periodic interest payments or have so-called coupons, hence the term zero- ...
price of ZCB(USD,5y,4.7\%)=e^\approx0.7906. Say we are counting in units of $100. We then have to buy $79.06 worth of bonds to guarantee the 100 to be repaid at maturity, and we have $20.94 to spend on an option. Now the option price is unlikely to be exactly equal to 20.94 in this case, and it really depends on the underlying. Say we are using the Black–Scholes price for the call, and that we strike the option
at the money In finance, moneyness is the relative position of the current price (or future price) of an underlying asset (e.g., a stock) with respect to the strike price of a derivative, most commonly a call option or a put option. Moneyness is firstly a ...
, the volatility is the defining part here. A call on an underlying with
implied volatility In financial mathematics, the implied volatility (IV) of an option contract is that value of the volatility of the underlying instrument which, when input in an option pricing model (such as Black–Scholes), will return a theoretical value equ ...
of 25% will give you a Black–Scholes price of $15.7 while with a volatility of 45%, you'd have to pay $21.76. Hence the participation would be the proportion you can get with the money you have. * In the 25% vol case you get a 133% participation * In the 45% vol case, 96%. The alternative is to simply buy the bond, which would return $126.49.


References

{{DEFAULTSORT:Bond Plus Option Bonds (finance) Derivatives (finance)