February 25th, 2004, 11:19 pm
Not being an expert in this instrument, I'm writing my initial thoughts on this one to inspire further discussion:The key in TARNs is that they mature as soon as the cumulative payoff reaches certain level. Lets assume the following structure:Capital guaranteed 5 year bond100% participation in rise of Equity Index (currently trading at 100)Target redemption is 20% return (which means that the bond is redeemed at par and 20% payed out as soon as (and if) the index hits 120)To replicate this structure (example) we can combine the following to get some idea:1) Long Call on the Equity Index with strike 100 and a Knock-out at 1202) Long American Digital on the Equity Index with strike 120 and a payout of 203) Interest Rate Swap (Paying Libor and Receiving Fixed)4) Long Series of European CAPS at strike 0% that knock in when Equity Index hits 120 (cross market barrier)5) and of course rolling MM deposit for the (principal - total options&caps price)Adjusting size and rate of (3)/(4) is neccesary to make Cashflows match and SUM(NPV)=0The ugly duck is component 4. It can be expressed in other terms than a 0% cap, it's basically a claim on future LIBOR rates if the barrier is hit. Correlation between the factors of the swapcurve and the equity market is very important in pricing of this component. Should be exciting to hedge. If participation is in form of an annual coupon (eg. clichet) then the barrier in the structure above must be modified from 120 to SUM(past coupons).Anyone have a termsheet on equity linked TARN?Best regards,Z
Last edited by
Ziggy on February 25th, 2004, 11:00 pm, edited 1 time in total.