Skip to content
All library documents

Replicating a SIX Discount Certificate with Stock and a Short Call

Article Quant Q&A · Author: chocolatekeyboard

Summary

The answer explains a SIX discount certificate as a position in the underlying share combined with a short out-of-the-money call. The call’s premium accounts for the certificate’s discounted price relative to the share, while the cap limits the investor’s upside. If the share finishes below the call strike, the investor keeps the benefit of the lower entry price; above the strike, gains are capped.

The response also points out that the investor pays at issuance but receives no collateral or interest before maturity. It frames this as financing provided to the issuer, who may use the funds during the product’s term. The explanation is an intuitive decomposition rather than a full valuation: it does not establish precise pricing, address all contract terms, or quantify issuer credit risk. The historical share-price observation is only an anecdote and does not show how the product performs generally.

Key ideas

  • A discount certificate can be understood as long the underlying share and short a call option.
  • The short call premium helps explain the certificate’s discount to the share price.
  • The call strike creates a cap on the investor’s upside at maturity.
  • The payment structure also gives the issuer use of the investor’s funds until maturity.

Tags

Full text
# Explaining an Option product: SIX Discount Certificates


# Explaining an Option product: SIX Discount Certificates












So I have the option with the important info above. I am trying to generate a portfolio that represents the option.

However I am stuck on the first hurdle as I believe it is a call option as the product makes a profit only if the underlying share price rises above 121.35 to 145.50 and it is capped at the 145.50 price.

I believe the exercise price to be the 145.50

The maturity also seems confusing as I believe it to be the 28th November, starting on the 3rd, which is 211 working days which seems a bit random.

Is the issue price of 115.78 the cost of the option? as this seems quite high.

I think this means that if the share price falls or doesn't hit the capped level then at expiry it is worthless and will simply provide the share price at the time.

Basically is what I have said correct? Thanks.

## Answer by Phil H (score 2)

https://quant.stackexchange.com/a/39896

From @noob2's link, it looks like the product behaves like a basket of a long position in the underlying and short an out-of-the-money call option; thus the discount vs the price of the underlying is the implicit value of the call.

As with any option, if you sell one and it stays out of the money, you get to keep the premium, so if the price of the underlying doesn't end up above EUR 145.5 at worst it was a bargain price for the asset. At a glance it looks like the price was around EUR 139 at the end of 2014, so that paid off.

You could also include in your valuation that it appears that although the price is paid at the issue, the investor receives no collateral or interest, and is only paid at expiry. Thus it is also an unsecured loan of the cash for the 9 months or so; the issuer could enter a par forward contract now for delivery at the expiry, and have use of the cash now. Thus it is a good sale for a bank which needs to raise its capital reserves.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.