In finance, a swap is an agreement between two counterparties to exchange financial instruments, cashflows, or payments for a certain time. The instruments can be almost anything but most swaps involve cash based on a notional principal amount.
The general swap can also be seen as a series of forward contracts through which two parties exchange financial instruments, resulting in a common series of exchange dates and two streams of instruments, the legs of the swap. The legs can be almost anything but usually one leg involves cash flows based on a notional principal amount that both parties agree to. This principal usually does not change hands during or at the end of the swap;
this is contrary to a future, a forward or an option.
In practice one leg is generally fixed while the other is variable, that is determined by an uncertain variable such as a benchmark interest rate, a foreign exchange rate, an index price, or a commodity price.
Swaps are primarily over-the-counter contracts between companies or financial institutions. Retail investors do not generally engage in swaps.
A mortgage holder is paying a floating interest rate on their mortgage but expects this rate to go up in the future. Another mortgage holder is paying a fixed rate but expects rates to fall in the future. They enter a fixed-for-floating swap agreement. Both mortgage holders agree on a notional principal amount and maturity date and agree to take on each other's payment obligations. The first mortgage holder from now on is paying a fixed rate to the second mortgage holder while receiving a floating rate. By using a swap, both parties effectively changed their mortgage terms to their preferred interest mode while neither party had to renegotiate terms with their mortgage lenders.
Considering the next payment only, both parties might as well have entered a fixed-for-floating forward contract. For the payment after that another forward contract whose terms are the same, i.e. same notional amount and fixed-for-floating, and so on.
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This course gives you an easy introduction to interest rates and related contracts. These include the LIBOR, bonds, forward rate agreements, swaps, interest rate futures, caps, floors, and swaptions.
Information is processed in physical devices. In the quantum regime the concept of classical bit is replaced by the quantum bit. We introduce quantum principles, and then quantum communications, key d
This course gives an introduction to the modeling of interest rates and credit risk. Such models are used for the valuation of interest rate securities with and without credit risk, the management and
Financial instruments are monetary contracts between parties. They can be created, traded, modified and settled. They can be cash (currency), evidence of an ownership interest in an entity or a contractual right to receive or deliver in the form of currency (forex); debt (bonds, loans); equity (shares); or derivatives (options, futures, forwards). International Accounting Standards IAS 32 and 39 define a financial instrument as "any contract that gives rise to a financial asset of one entity and a financial liability or equity instrument of another entity".
In finance, an option is a contract which conveys to its owner, the holder, the right, but not the obligation, to buy or sell a specific quantity of an underlying asset or instrument at a specified strike price on or before a specified date, depending on the style of the option. Options are typically acquired by purchase, as a form of compensation, or as part of a complex financial transaction.
In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with forward rate agreements (FRAs), and with zero coupon swaps (ZCSs). In its December 2014 statistics release, the Bank for International Settlements reported that interest rate swaps were the largest component of the global OTC derivative market, representing 60%, with the notional amount outstanding in OTC interest rate swaps of 381trillion,andthegrossmarketvalueof14 trillion.
Covers the Heisenberg interaction, SWAP gate, and CNOT gate in quantum computing.
Explores optimization problems and greedy algorithms for efficient decision-making.
Covers entanglement and Bell inequalities, focusing on entanglement swapping and the violation of Bell inequalities.
Capital ages and must eventually be replaced. We propose a theory of financing in which firms borrow to finance investment and deleverage as capital ages to have enough financial slack to finance replacement investments. To achieve these dynamics, firms is ...
Lausanne2024
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We study different symbolic algorithms to solve two related reconfiguration problems on graphs: the token swapping problem and the permutation routing via matchings problem. Input to both problems is a connected graph with labeled vertices and a token in e ...
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