/src/quantlib/ql/instruments/zerocouponswap.hpp
Line | Count | Source |
1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2021 Marcin Rybacki |
5 | | |
6 | | This file is part of QuantLib, a free-software/open-source library |
7 | | for financial quantitative analysts and developers - http://quantlib.org/ |
8 | | |
9 | | QuantLib is free software: you can redistribute it and/or modify it |
10 | | under the terms of the QuantLib license. You should have received a |
11 | | copy of the license along with this program; if not, please email |
12 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
13 | | <https://www.quantlib.org/license.shtml>. |
14 | | |
15 | | This program is distributed in the hope that it will be useful, but WITHOUT |
16 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
17 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
18 | | */ |
19 | | |
20 | | /*! \file zerocouponswap.hpp |
21 | | \brief Zero-coupon interest rate swap |
22 | | */ |
23 | | |
24 | | #ifndef quantlib_zerocouponswap_hpp |
25 | | #define quantlib_zerocouponswap_hpp |
26 | | |
27 | | #include <ql/instruments/swap.hpp> |
28 | | #include <ql/time/calendar.hpp> |
29 | | #include <ql/time/daycounter.hpp> |
30 | | |
31 | | namespace QuantLib { |
32 | | class IborIndex; |
33 | | |
34 | | //! Zero-coupon interest rate swap |
35 | | /*! Quoted in terms of a known fixed cash flow \f$ N^{FIX} \f$ or |
36 | | a fixed rate \f$ R \f$, where: |
37 | | \f[ |
38 | | N^{FIX} = N \left[ (1+R)^{\alpha(T_{0}, T_{K})}-1 \right] , |
39 | | \f] |
40 | | with \f$ \alpha(T_{0}, T_{K}) \f$ being the time fraction |
41 | | between the start date of the contract \f$ T_{0} \f$ and |
42 | | the end date \f$ T_{K} \f$ - according to a given day count |
43 | | convention. \f$ N \f$ is the base notional amount prior to |
44 | | compounding. |
45 | | The floating leg also pays a single cash flow \f$ N^{FLT} \f$, |
46 | | which value is determined by periodically averaging (e.g. every |
47 | | 6 months) interest rate index fixings. |
48 | | Assuming the use of compounded averaging the projected value of |
49 | | the floating leg becomes: |
50 | | \f[ |
51 | | N^{FLT} = N \left[ \prod_{k=0}^{K-1} (1+\alpha(T_{k},T_{k+1}) |
52 | | L(T_{k},T_{k+1})) -1 \right], |
53 | | \f] |
54 | | where \f$ L(T_{i}, T_{j})) \f$ are interest rate index fixings |
55 | | for accrual period \f$ [T_{i}, T_{j}] \f$. |
56 | | For a par contract, it holds that: |
57 | | \f[ |
58 | | P_n(0,T) N^{FIX} = P_n(0,T) N^{FLT} |
59 | | \f] |
60 | | where \f$ T \f$ is the final payment time, \f$ P_n(0,t) \f$ |
61 | | is the nominal discount factor at time \f$ t \f$. |
62 | | |
63 | | At maturity the two single cashflows are swapped. |
64 | | |
65 | | \note we do not need Schedules on the legs because they use |
66 | | one or two dates only per leg. Those dates are not |
67 | | adjusted for potential non-business days. Only the |
68 | | payment date is subject to adjustment. |
69 | | */ |
70 | | |
71 | | class ZeroCouponSwap : public Swap { |
72 | | public: |
73 | | ZeroCouponSwap(Type type, |
74 | | Real baseNominal, |
75 | | const Date& startDate, |
76 | | const Date& maturityDate, |
77 | | Real fixedPayment, |
78 | | ext::shared_ptr<IborIndex> iborIndex, |
79 | | const Calendar& paymentCalendar, |
80 | | BusinessDayConvention paymentConvention = Following, |
81 | | Natural paymentDelay = 0); |
82 | | |
83 | | ZeroCouponSwap(Type type, |
84 | | Real baseNominal, |
85 | | const Date& startDate, |
86 | | const Date& maturityDate, |
87 | | Rate fixedRate, |
88 | | const DayCounter& fixedDayCounter, |
89 | | ext::shared_ptr<IborIndex> iborIndex, |
90 | | const Calendar& paymentCalendar, |
91 | | BusinessDayConvention paymentConvention = Following, |
92 | | Natural paymentDelay = 0); |
93 | | |
94 | | //! \name Inspectors |
95 | | //@{ |
96 | | //! "payer" or "receiver" refer to the fixed leg. |
97 | 0 | Type type() const { return type_; } |
98 | 0 | Real baseNominal() const { return baseNominal_; } |
99 | 0 | Date startDate() const override { return startDate_; } |
100 | 0 | Date maturityDate() const override { return maturityDate_; } |
101 | 0 | const ext::shared_ptr<IborIndex>& iborIndex() const { return iborIndex_; } |
102 | | |
103 | | //! just one cashflow in each leg |
104 | | const Leg& fixedLeg() const; |
105 | | //! just one cashflow in each leg |
106 | | const Leg& floatingLeg() const; |
107 | | |
108 | | Real fixedPayment() const; |
109 | | //@} |
110 | | |
111 | | //! \name Results |
112 | | //@{ |
113 | | Real fixedLegNPV() const; |
114 | | Real floatingLegNPV() const; |
115 | | Real fairFixedPayment() const; |
116 | | Rate fairFixedRate(const DayCounter& dayCounter) const; |
117 | | //@} |
118 | | |
119 | | private: |
120 | | ZeroCouponSwap(Type type, |
121 | | Real baseNominal, |
122 | | const Date& startDate, |
123 | | const Date& maturityDate, |
124 | | ext::shared_ptr<IborIndex> iborIndex, |
125 | | const Calendar& paymentCalendar, |
126 | | BusinessDayConvention paymentConvention, |
127 | | Natural paymentDelay); |
128 | | |
129 | | Type type_; |
130 | | Real baseNominal_; |
131 | | ext::shared_ptr<IborIndex> iborIndex_; |
132 | | Date startDate_; |
133 | | Date maturityDate_; |
134 | | Date paymentDate_; |
135 | | }; |
136 | | } |
137 | | |
138 | | #endif |