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Reverse Convertible

A fixed coupon in every case; the nominal is repaid only if the underlying ends at or above the strike.

Sideways Slightly risingVolatility fallingNo capital protection
1220SSPA category codeYield Enhancement Products
Zero bond Put

Payoff at maturity

Move the parameters; the product formula and its building blocks are recomputed from the same engine that is tested against the workbook.

Payoff at maturity: Reverse Convertible (1220)Reverse Convertible (1220): redemption at maturity for an underlying at 0 % → 8 %; 8 % → 16 %; 100 % → 108 %; 200 % → 108 % of its initial level.0255075100125050100150200Initial level, strike 100ProductUnderlying at maturity (% of initial level)Redemption (% of nominal)
  • Product

Redemption 108 %

Per 10'000 of nominal

Underlying at maturityLevelRedemptionAmountGain / loss
−30 %70 %78 %7'800−2'200
unchanged100 %108 %10'800+800
+30 %130 %108 %10'800+800

Coupons are shown as paid at maturity together with the nominal. Costs, taxes and the price you paid are not included.

Data table and formulas

Reverse Convertible (1220): redemption at maturity for an underlying at 0 % → 8 %; 8 % → 16 %; 100 % → 108 %; 200 % → 108 % of its initial level.

SeriesFormula0 %25 %50 %75 %100 %125 %150 %175 %200 %
Zero Bond100 + coupon108108108108108108108108108
Short Put - ATM−(100 ÷ strike × max(strike − S, 0))-100-75-50-2500000
Productif S ≥ strike: 100 + coupon; otherwise 100 × S ÷ strike + coupon8335883108108108108108

Largest difference between the sum of the blocks and the product formula over the grid: 3.6e-15.

How it is built

Each block drawn on its own, then added. The last chart is the sum, and it is identical to the product line above.

  1. Zero Bond
    Zero Bond: bond block100 + coupon
  2. Short Put - ATM
    Short Put - ATM: put block−(100 ÷ strike × max(strike − S, 0))
  3. Product
    Sum of blocks equals the product payoff (Redemption (% of nominal))if S ≥ strike: 100 + coupon; otherwise 100 × S ÷ strike + coupon

Largest gap between the sum of the blocks and the product formula on this grid: 3.6e-15. The same identity is tested for every product and scenario in the site's test suite.

Construction, as listed in the workbook

  • Zero Bond (face = nominal + coupon)
  • Short Put - ATM

In plain English

You lend the nominal to the issuer and at the same time sell it a put on the underlying. The premium from the put is what makes the coupon much higher than a bond coupon. If the underlying ends at or above the strike, the put expires worthless and you receive the nominal plus the coupon.

If it ends below the strike, the issuer exercises the put: you receive the underlying (or its cash value) instead of the nominal, plus the coupon. The short put is scaled so that the delivery is worth nominal × underlying ÷ strike.

Chances and risks

Chances

  • A high, unconditional coupon.
  • Outperforms a direct investment in a sideways market.
  • Simple to understand.

Risks

  • No capital protection below the strike.
  • The coupon is the maximum gain, whatever the underlying does.
  • Issuer credit risk.

Who it fits

  • Investors who expect a flat market and are comfortable owning the underlying if it falls.

Who it does not fit

  • Investors expecting a strong rise (the coupon caps you) or a strong fall.

Features that can be added

Cross-category features from the workbook that issuers attach to this type.

Nearby on the map

  • Payoff shape of Discount Certificate (1200)1200Yield Enhancement ProductsDiscount Certificate
    The underlying bought at a discount, in exchange for giving up gains above a cap.
  • Payoff shape of Discount Certificate with Barrier (1210)1210Yield Enhancement ProductsDiscount Certificate with Barrier
    A discount certificate that repays the cap in full as long as the barrier is never touched.
    Barrier
  • Payoff shape of Barrier Reverse Convertible (1230)1230Yield Enhancement ProductsBarrier Reverse Convertible
    A reverse convertible with a safety barrier: the nominal is repaid unless the barrier was touched and the underlying ends below the strike.
    Barrier
  • Payoff shape of Reverse Convertible with Conditional Coupon (1255)1255Yield Enhancement ProductsReverse Convertible with Conditional Coupon
    A reverse convertible whose coupon is paid only when the underlying is above a trigger on the observation date; usually with early redemption.
  • Payoff shape of Barrier Reverse Convertible with Conditional Coupon (1260)1260Yield Enhancement ProductsBarrier Reverse Convertible with Conditional Coupon
    The barrier reverse convertible with conditional coupons and, usually, an autocall.
    Barrier

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