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Range Accrual
In finance, a range accrual is a type of derivative product very popular among structured note investors. It is estimated that more than US$160 billion of Range Accrual indexed on interest rates only have been sold to investors between 2004 and 2007. It is one of the most popular non-vanilla financial derivatives. In essence the investor in a range accrual is "betting" that the reference "index" - usually interest rates or currency exchange rates - will stay within a predefined range. Payoff description A general expression for the payoff of a range accrual is: : P \times \sum_^ 1_ \times \frac * index(''i'') is the value of the index at the ''i''th observation date * ''N'' is the total number of observations within a period * ''P'' is the payout when the index is in the range If the observation frequency is daily, the payoff could be more easily written as : P \times \frac where * ''n'' is the number of days a specified index is within a given range * ''N'' is the total n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finance
Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of financial economics bridges the two). Finance activities take place in financial systems at various scopes, thus the field can be roughly divided into personal, corporate, and public finance. In a financial system, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds, shares, stocks, options, futures, etc. Assets can also be banked, invested, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. A broad range of subfields within finance exist due to its wide scope. Asset, money, risk and investment management aim to maximize value and minimize volatility. Financial analysis is viability, stability, and profitability asse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Structured Note
A structured note is an over the counter derivative with hybrid security features which combine payoffs from multiple ordinary securities, typically a stock or bond plus a derivative. When the product depends on a credit payoff, it is called a credit-linked note. Since no such security exists outside of the sponsor creating this hybrid, the creditworthiness of this structured note depends on the strength of the sponsor. Two typical use cases: *A simple example of a structured note would be a five-year bond tied together with an option contract. The addition of the option contract changes the security's risk/return profile to make it more tailored to an investor's comfort zone. This makes it possible to invest in an asset class that would otherwise be considered too risky. *From the investor's point of view, a structured note might look like this: I agree to a three-year contract with a bank. I give the bank $100. The money will be indexed to the S&P 500. In three years, if the S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exotic Derivative
An exotic derivative, in finance, is a derivative which is more complex than commonly traded "vanilla" products. This complexity usually relates to determination of payoff; see option style. The category may also include derivatives with a non-standard subject matter - i.e., underlying - developed for a particular client or a particular market.Understanding derivative contracts: types of derivatives The term "exotic derivative" has no precisely defined meaning, being a colloquialism that reflects how common a particular derivative is in the marketplace. As such, certain derivative instruments have been considered exotic when conceived of and sold, but lost this status when they were traded with significant enough volume. Examples of this phenomenon include [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Digital Option
A binary option is a finance, financial exotic option in which the payoff is either some fixed monetary amount or nothing at all.Breeden, D. T., & Litzenberger, R. H. (1978). "Prices of state-contingent claims implicit in option prices". ''Journal of Business'', 621–651.Gatheral, J. (2006). ''The volatility surface: a practitioner's guide'' (Vol. 357). John Wiley & Sons. The two main types of binary options are the cash-or-nothing binary option and the asset-or-nothing binary option. The former pays some fixed amount of cash if the option expires in-the-money while the latter pays the value of the underlying security. They are also called all-or-nothing options, digital options (more common in forex/interest rate markets), and fixed return options (FROs) (on the American Stock Exchange).Binary Option Definition Investopedi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Callable Bond
A callable bond (also called redeemable bond) is a type of bond (debt security) that allows the issuer of the bond to retain the privilege of redeeming the bond at some point before the bond reaches its date of maturity. In other words, on the call date(s), the issuer has the right, but not the obligation, to buy back the bonds from the bond holders at a defined call price. Technically speaking, the bonds are not really bought and held by the issuer but are instead cancelled immediately. The call price will usually exceed the par or issue price. In certain cases, mainly in the high-yield debt market, there can be a substantial call premium. Thus, the issuer has an option which it pays for by offering a higher coupon rate. If interest rates in the market have gone down by the time of the call date, the issuer will be able to refinance its debt at a cheaper level and so will be incentivized to call the bonds it originally issued. Another way to look at this interplay is that, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swaption
A swaption is an option granting its owner the right but not the obligation to enter into an underlying swap. Although options can be traded on a variety of swaps, the term "swaption" typically refers to options on interest rate swaps. Types of swaptions There are two types of swaption contracts (analogous to put and call options): *A payer swaption gives the owner of the swaption the right to enter into a swap where they pay the fixed leg and receive the floating leg. *A receiver swaption gives the owner of the swaption the right to enter into a swap in which they will receive the fixed leg, and pay the floating leg. In addition, a "straddle" refers to a combination of a receiver and a payer option on the same underlying swap. The buyer and seller of the swaption agree on: *The premium (price) of the swaption *Length of the option period (which usually ends two business days prior to the start date of the underlying swap), *The terms of the underlying swap, including: **Notiona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Damiano Brigo
Damiano Brigo (born Venice, Italy 1966) is an applied mathematician and Chair in Mathematical Finance at Imperial College London. He is known for research in filtering theory and mathematical finance. Main results Brigo started his work with the development, with Bernard Hanzon and Francois Le Gland (1998), of the projection filters, a family of approximate nonlinear filters based on the differential geometry approach to statistics, also related to information geometry. With Fabio Mercurio (2002–2003), he has shown how to construct stochastic differential equations consistent with mixture models, applying this to volatility smile modeling in the context of local volatility models. With Aurelien Alfonsi (2005), Brigo introduced new families of multivariate distributions in statistics through the periodic copula function concept. Since 2002, Brigo contributed to credit derivatives modeling and counterparty risk valuation, showing with Pallavicini and Torresetti (2007) ho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fabio Mercurio
Fabio Mercurio (born 26 September 1966) is an Italian mathematician, internationally known for a number of results in mathematical finance. Main results Mercurio worked during his Ph.D. on incomplete markets theory using dynamic mean-variance hedging techniques. With Damiano Brigo (2002–2003), he has shown how to construct stochastic differential equations consistent with mixture models, applying this to volatility smile modeling in the context of local volatility models. He is also one of the main authors in inflation modeling. Mercurio has also authored several publications in top journals and co-authored the book ''Interest rate models: theory and practice'' for Springer-Verlag, that quickly became an international reference for stochastic dynamic interest rate modeling. He is the recipient of the 2020 Risk quant-of-the-year award [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Investment
Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time. Investment requires a sacrifice of some present asset, such as time, money, or effort. In finance, the purpose of investing is to generate a return from the invested asset. The return may consist of a gain (profit) or a loss realized from the sale of a property or an investment, unrealized capital appreciation (or depreciation), or investment income such as dividends, interest, or rental income, or a combination of capital gain and income. The return may also include currency gains or losses due to changes in the foreign currency exchange rates. Investors generally expect higher returns from riskier investments. When a low-risk investment is made, the return is also generally low. Similarly, high risk comes with a chance of high losses. Investors, particularly novices, are often advised to diversify their portfolio. Diversification has the statistical effec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often by help of stochastic asset models, while the former focuses, in addition to analysis, on building tools of implementation for the models. Also related is quantitative investing, which relies on statistical and numerical models (and lately machine learning) as opposed to traditional fundamental analysis when managing portfolios. French mathematician Louis Bachelier's doctoral thesis, defended in 1900, is considered the first scholarly work on mathematical fina ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
