Case 056Structured products and client solutionsWarm up
A one-year note pays twice the stock's rise up to 15%, so at most 30%, and loses one for one if the stock falls. Tabulate it against owning the stock for moves of minus 20%, 0, plus 10%, plus 15% and plus 40%.
1The situation
A private bank offers its clients a one-year note linked to Malprabha Agro. The term sheet says: if the stock ends the year higher, the note pays twice the percentage rise, up to a stock rise of 15%, so the most the note can pay is 30%. If the stock ends lower, the note loses the same percentage as the stock. The note pays no dividend and has no coupon.
A client who already owns Malprabha shares asks whether to switch into the note.
2Your task
Build the payoff table for stock moves of minus 20%, 0, plus 10%, plus 15% and plus 40%, say where the note beats the stock and where it loses to it, and explain what the client gives up for the doubled rise.
Quick check
Before working it: if the stock rises 40%, the note pays:
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
The note beats the stock for any rise up to 30%, matches it at exactly 30%, and loses to it above; on the way down it is identical to the stock. At minus 20% both lose 20%. At zero both pay nothing. At plus 10% the note pays 20% against the stock's 10%. At plus 15% it pays its maximum, 30%. At plus 40% it still pays 30% while the stock earns 40%. The doubled rise is paid for by the cap and by the dividends the note does not pay.
Step 1What does the note pay at each of the five moves?
Read the term sheet as three rules. Below zero, the note is the stock. Between zero and plus 15%, the note is twice the stock. Above 15%, the note is 30% whatever the stock does. Walk the five moves through those rules and the table below writes itself; the only line where people hesitate is plus 40%, where the cap binds.
| Stock move | Rule that applies | Note pays | Stock pays | Better |
|---|---|---|---|---|
| -20% | below zero: one for one | -20% | -20% | same |
| 0 | no move | 0 | 0 | same |
| +10% | doubled, under the cap | +20% | +10% | note by 10 |
| +15% | doubled, cap reached | +30% | +15% | note by 15 |
| +40% | capped at 30% | +30% | +40% | stock by 10 |
Step 2Where exactly does the note stop beating the stock?
The crossover is where the stock's straight line reaches the note's ceiling: a rise of 30%. Up to a 30% rise the note holder is ahead; at exactly 30% both earn 30%; above it the stock holder keeps every extra point and the note holder keeps none. A strong year for a mid-cap agro stock can run past 30%, so the cap is not a technicality. It is the scenario in which the client would most regret the switch, and the one the term sheet's headline, twice the upside, is designed to keep out of view.
Step 3What is the client giving up for the doubled rise?
Nothing in a term sheet is free, so find what pays for the doubling. Build the note from pieces: the stock itself, plus one at-the-money call that doubles the rise, minus two calls struck 15% higher that stop both lines at the cap. The two sold calls and the forgone dividend are what fund the extra at-the-money call; the client has sold the stock's upside above 30% and its dividend yield to buy twice the first 15%. It is the same bargain as a mobile plan with double data up to a limit and nothing beyond: generous for a typical month, expensive in the month you most needed it.
Two things the table does not show, and a careful answer names them. The note is an unsecured promise of the issuing bank, so if the issuer fails the client can lose regardless of what the stock did; the shares carry no such risk. And the note cannot be sold at the payoff value during the year; the bank will quote a price, and it will not be the table. Say the limitation plainly: this payoff holds at maturity, for a client who holds to maturity, with an issuer that is still standing.
Where candidates lose it
Candidates double the rise at plus 40% and write 80%, or double it and then cap at 15%, writing 15%. The cap is on the payout, 30%, which is twice the 15% rise at which doubling stops. Read the term sheet's two numbers separately.
The second miss is calling the note a better version of the stock. It is the stock with the top sold off and the dividend removed; whether that is better depends entirely on how large a rise the client expects.
What the interviewer asks next
- Malprabha pays a 2% dividend. Redo the +10% line including it, and say what the note holder lost.
- How would you build this note from the stock and listed options, and what would each piece cost roughly?
- The issuing bank's credit spread widens sharply mid-year. What happens to the note's price even if the stock is unchanged?
Company names and figures are illustrative.
