| formula_id,strategy_id,formula_latex,variable_definitions,interpretation | |
| FOR_00001,STR_00001,"\mathrm{Payoff} = \max(S_T-K, 0) - \Pi",S_T = terminal underlying price; K = strike; Π = premium paid,Convex bullish exposure with loss limited to premium. | |
| FOR_00002,STR_00002,"\mathrm{Payoff} = \max(K-S_T, 0) - \Pi",S_T = terminal underlying price; K = strike; Π = premium paid,Convex bearish exposure with loss limited to premium. | |
| FOR_00003,STR_00003,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00004,STR_00004,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00005,STR_00005,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00006,STR_00006,"\mathrm{Payoff} = \max(S_T-K_1,0)-\max(S_T-K_2,0)-D",K_1 = long lower strike; K_2 = short higher strike; D = net debit,Defined-risk bullish spread with capped upside. | |
| FOR_00007,STR_00007,"\mathrm{Payoff} = \max(K_1-S_T,0)-\max(K_2-S_T,0)-D",K_1 = long higher strike; K_2 = short lower strike; D = net debit,Defined-risk bearish spread with capped payout. | |
| FOR_00008,STR_00008,"\mathrm{Payoff} = C-\max(K_1-S_T,0)+\max(K_2-S_T,0)",K_1 = short higher strike; K_2 = long lower strike; C = net credit,Credit spread that profits if underlying remains above short strike. | |
| FOR_00009,STR_00009,"\mathrm{Payoff} = C-\max(S_T-K_1,0)+\max(S_T-K_2,0)",K_1 = short lower strike; K_2 = long higher strike; C = net credit,Credit spread that profits if underlying remains below short strike. | |
| FOR_00010,STR_00010,"\mathrm{Payoff} = \max(S_T-K,0)+\max(K-S_T,0)-\Pi",K = common strike; Π = total premium paid,Long volatility structure needing a sufficiently large move. | |
| FOR_00011,STR_00011,"\mathrm{Payoff} = \max(S_T-K_c,0)+\max(K_p-S_T,0)-\Pi",K_c = call strike; K_p = put strike; Π = total premium paid,Cheaper than a straddle but requires a larger move. | |
| FOR_00012,STR_00012,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00013,STR_00013,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00014,STR_00014,\mathrm{Payoff} = C-\text{short put spread loss}-\text{short call spread loss},C = total net credit; spread losses capped by wing widths,Range-bound defined-risk short volatility structure. | |
| FOR_00015,STR_00015,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00016,STR_00016,\mathrm{Payoff} \approx V_{\text{long back}} - V_{\text{short front}} - D,V = option values through time and volatility; D = net debit,Term-structure and theta/vega expression with path-dependent payout. | |
| FOR_00017,STR_00017,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00018,STR_00018,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00019,STR_00019,"\mathrm{Payoff} = \max(S_T-K, 0) - \Pi",S_T = terminal underlying price; K = strike; Π = premium paid,Convex bullish exposure with loss limited to premium. | |
| FOR_00020,STR_00020,"\mathrm{Payoff} = \max(K-S_T, 0) - \Pi",S_T = terminal underlying price; K = strike; Π = premium paid,Convex bearish exposure with loss limited to premium. | |
| FOR_00021,STR_00021,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00022,STR_00022,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00023,STR_00023,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |
| FOR_00024,STR_00024,"\mathrm{Payoff} = \max(S_T-K_1,0)-\max(S_T-K_2,0)-D",K_1 = long lower strike; K_2 = short higher strike; D = net debit,Defined-risk bullish spread with capped upside. | |
| FOR_00025,STR_00025,"\mathrm{Payoff} = \max(K_1-S_T,0)-\max(K_2-S_T,0)-D",K_1 = long higher strike; K_2 = short lower strike; D = net debit,Defined-risk bearish spread with capped payout. | |
| FOR_00026,STR_00026,"\mathrm{Payoff} = C-\max(K_1-S_T,0)+\max(K_2-S_T,0)",K_1 = short higher strike; K_2 = long lower strike; C = net credit,Credit spread that profits if underlying remains above short strike. | |
| FOR_00027,STR_00027,"\mathrm{Payoff} = C-\max(S_T-K_1,0)+\max(S_T-K_2,0)",K_1 = short lower strike; K_2 = long higher strike; C = net credit,Credit spread that profits if underlying remains below short strike. | |
| FOR_00028,STR_00028,"\mathrm{Payoff} = \max(S_T-K,0)+\max(K-S_T,0)-\Pi",K = common strike; Π = total premium paid,Long volatility structure needing a sufficiently large move. | |
| FOR_00029,STR_00029,"\mathrm{Payoff} = \max(S_T-K_c,0)+\max(K_p-S_T,0)-\Pi",K_c = call strike; K_p = put strike; Π = total premium paid,Cheaper than a straddle but requires a larger move. | |
| FOR_00030,STR_00030,"\mathrm{P\&L} = f(S, \sigma, t, \text{carry}, \text{execution})",S = underlying price; σ = implied volatility; t = time; carry = financing/dividend effects,"Generalized structure where payoff depends on market path, volatility, and time decay." | |