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Diffstat (limited to 'scaddins/source/pricing/black_scholes.hxx')
-rw-r--r-- | scaddins/source/pricing/black_scholes.hxx | 149 |
1 files changed, 149 insertions, 0 deletions
diff --git a/scaddins/source/pricing/black_scholes.hxx b/scaddins/source/pricing/black_scholes.hxx new file mode 100644 index 000000000..cdcb20b84 --- /dev/null +++ b/scaddins/source/pricing/black_scholes.hxx @@ -0,0 +1,149 @@ +/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ +/* + * This file is part of the LibreOffice project. + * + * This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. + * + * Copyright (C) 2012 Tino Kluge <tino.kluge@hrz.tu-chemnitz.de> + * + */ + + +#ifndef INCLUDED_SCADDINS_SOURCE_PRICING_BLACK_SCHOLES_HXX +#define INCLUDED_SCADDINS_SOURCE_PRICING_BLACK_SCHOLES_HXX + +// options prices and greeks in the Black-Scholes model +// also known as TV (theoretical value) + +namespace sca { +namespace pricing { + +namespace bs { + +namespace types { +enum Greeks { + Value = 0, + Delta = 1, // d/dS + Gamma = 2, // d^2/dS^2 + Theta = 3, // d/dt + Vega = 4, // d/dsigma + Volga = 5, // d^2/dsigma^2 + Vanna = 6, // d^2/dsigma dS + Rho_d = 7, // d/dr_d + Rho_f = 8 // d/dr_f +}; + +enum PutCall { + Call = 1, + Put = -1 +}; + +enum KOType { + Regular = 0, + Reverse = 1 +}; + +enum BarrierKIO { + KnockIn = -1, + KnockOut = 1 +}; + +// barrier observed continuously or just at maturity (truncated payoff) +enum BarrierActive { + Continuous = 0, + Maturity = 1 +}; + +enum ForDom { + Domestic = 0, + Foreign = 1 +}; + +} // namespace types + + +// binary option cash (domestic) +// call - pays 1 if S_T is above strike K +// put - pays 1 if S_T is below strike K +double bincash(double S, double vol, double rd, double rf, + double tau, double K, + types::PutCall pc, types::Greeks greeks); + +// binary option asset (foreign) +// call - pays S_T if S_T is above strike K +// put - pays S_T if S_T is below strike K +double binasset(double S, double vol, double rd, double rf, + double tau, double K, + types::PutCall pc, types::Greeks greeks); + +// vanilla put/call option +// call pays (S_T-K)^+ +// put pays (K-S_T)^+ +// this is the same as: +/- (binasset - K*bincash) +double putcall(double S, double vol, double rd, double rf, + double tau, double K, + types::PutCall putcall, types::Greeks greeks); + + +// truncated put/call option, single barrier +// need to specify whether it's down-and-out or up-and-out +// regular (keeps monotonicity): down-and-out for call, up-and-out for put +// reverse (destroys monoton): up-and-out for call, down-and-out for put +// call pays (S_T-K)^+ +// put pays (K-S_T)^+ +double putcalltrunc(double S, double vol, double rd, double rf, + double tau, double K, double B, + types::PutCall pc, types::KOType kotype, + types::Greeks greeks); + + +// wrapper function for put/call option which combines +// double/single/no truncation barrier +// B1<=0 - assume no lower barrier +// B2<=0 - assume no upper barrier +double putcalltrunc(double S, double vol, double rd, double rf, + double tau, double K, double B1, double B2, + types::PutCall pc, types::Greeks greek); + +// barrier +// touch/no-touch options (cash/asset or nothing payoff profile) +double touch(double S, double vol, double rd, double rf, + double tau, double B1, double B2, types::ForDom fd, + types::BarrierKIO kio, types::BarrierActive bcont, + types::Greeks greek); + +// barrier +// barrier option (put/call payoff profile) +double barrier(double S, double vol, double rd, double rf, + double tau, double K, double B1, double B2, + double rebate, + types::PutCall pc, types::BarrierKIO kio, + types::BarrierActive bcont, + types::Greeks greek); + + +// probability of hitting a barrier +double prob_hit(double S, double vol, double mu, + double tau, double B1, double B2); + + +// probability of being in-the-money, ie payoff is greater zero, +// assuming payoff(S_T) > 0 iff S_T in [B1, B2] +double prob_in_money(double S, double vol, double mu, + double tau, double B1, double B2); +double prob_in_money(double S, double vol, double mu, + double tau, double K, double B1, double B2, + types::PutCall pc); + + +} // namespace bs + +} // namespace pricing +} // namespace sca + + +#endif + +/* vim:set shiftwidth=4 softtabstop=4 expandtab: */ |