What is a reverse convertible note, and how should I decompose its embedded option risk?

A reverse convertible note (RCN) is a short-term structured product (typically 3-12 months) that pays an above-market coupon in exchange for the investor bearing downside equity risk. The 'reverse' label reflects that conversion from cash to shares is at the issuer's discretion, not the investor's -- the opposite of a traditional convertible bond.\n\nOption Decomposition:\n\n`mermaid\ngraph LR\n A[\"Reverse Convertible
= Bond + Short Put\"] --> B[\"Investor owns:
Zero-coupon bond at par\"]\n A --> C[\"Investor is short:
ATM or OTM put option\"]\n B --> D[\"Pays par at maturity
(if put not exercised)\"]\n C --> E[\"Put premium funds
the enhanced coupon\"]\n C --> F[\"If stock falls below strike,
issuer 'puts' shares to investor\"]\n F --> G[\"Investor receives
depreciated shares instead of cash\"]\n`\n\nThe investor is implicitly short a put option on the reference stock. The put premium, combined with the issuer's credit spread, funds the enhanced coupon. This is why RCNs offer 8-15% annualized yields in environments where deposits pay 4-5%.\n\nVanilla vs. Barrier RCN:\n\n| Feature | Vanilla RCN | Barrier RCN |\n|---|---|---|\n| Put type | European ATM put | Down-and-in knock-in put |\n| Conversion trigger | Stock below strike at expiry | Stock must breach barrier during life AND be below strike at expiry |\n| Coupon level | Higher (e.g., 14%) | Lower (e.g., 9%) |\n| Investor risk | Higher -- any decline triggers loss | Lower -- needs significant drawdown |\n| Put premium embedded | More expensive put = more coupon | Cheaper put = less coupon |\n\nWorked Example:\n\nCedarstone Investments issues a 6-month barrier reverse convertible on Pinnacle Industrial Corp (current price $82):\n\n- Notional: $50,000 (approximately 609.76 shares)\n- Strike: $82 (100%)\n- Knock-in barrier: $57.40 (70%)\n- Coupon: 10.80% annualized (5.40% for 6 months)\n\nOutcome A -- Stock finishes at $91 (no knock-in): Investor receives $50,000 + $2,700 coupon = $52,700\n\nOutcome B -- Stock touches $55 during month 3 (knock-in), finishes at $68: Knock-in activated. Investor receives 609.76 shares x $68 = $41,463 + $2,700 coupon = $44,163 (11.7% net loss)\n\nOutcome C -- Stock touches $55 (knock-in), but recovers to $85 at expiry: Despite knock-in, stock above strike at maturity. Investor receives $50,000 + $2,700 = $52,700 (same as Outcome A)\n\nRisk Considerations:\n- The maximum gain is capped at the coupon; the maximum loss is nearly the entire notional\n- Asymmetric payoff: limited upside, substantial downside\n- The investor is also exposed to issuer credit risk (the note is unsecured debt)\n- Early termination provisions may exist but typically favor the issuer\n\nPractice reverse convertible pricing scenarios in our FRM question bank.