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Pull To Par
Pull to Par is the effect in which the price of a bond converges to par value as time passes. At maturity the price of a debt instrument in good standing should equal its par (or face value). Another name for this effect is reduction of maturity. It results from the difference between market interest rate and the nominal yield The coupon rate (nominal rate, or nominal yield) of a fixed income security Fixed income refers to any type of investment under which the borrower or issuer is obliged to make payments of a fixed amount on a fixed schedule. For example, the borr ... on the bond. The Pull to Par effect is one of two factors that influence the market value of the bond and its volatility (the second one is the level of market interest rates). See also * Black–Scholes model #Valuing bond options * Bond option #Valuation References {{DEFAULTSORT:Pull To Par Bond valuation Options (finance) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bond (finance)
In finance, a bond is a type of security under which the issuer ( debtor) owes the holder ( creditor) a debt, and is obliged – depending on the terms – to repay the principal (i.e. amount borrowed) of the bond at the maturity date as well as interest (called the coupon) over a specified amount of time. The interest is usually payable at fixed intervals: semiannual, annual, and less often at other periods. Thus, a bond is a form of loan or IOU. Bonds provide the borrower with external funds to finance long-term investments or, in the case of government bonds, to finance current expenditure. Bonds and stocks are both securities, but the major difference between the two is that (capital) stockholders have an equity stake in a company (i.e. they are owners), whereas bondholders have a creditor stake in a company (i.e. they are lenders). As creditors, bondholders have priority over stockholders. This means they will be repaid in advance of stockholders, but will rank behind s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Par Value
Par value, in finance and accounting, means stated value or face value. From this come the expressions at par (at the par value), over par (over par value) and under par (under par value). Bonds A Bond_(finance), bond selling at par is priced at 100% of face value. Par can also refer to a bond's original issue value or its value upon redemption at maturity. Stock The par value of stock has no relation to market value and, as a concept, is somewhat archaic. The par value of a share is the value stated in the corporate charter below which shares of that class cannot be sold upon initial offering; the issuing company promises not to issue further shares below par value, so investors can be confident that no one else will receive a more favorable issue price. Thus, par value is the nominal value of a security which is determined by the issuing company to be its minimum price. This was far more important in unregulated equity markets than in the regulated markets that exist today, wher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maturity (finance)
In finance, maturity or maturity date is the date on which the final payment is due on a loan or other financial instrument, such as a Bond (finance), bond or term deposit, at which point the Bond (finance)#Principal, principal (and all remaining interest) is due to be paid. Most instruments have a ''fixed maturity date'' which is a specific date on which the instrument matures. Such instruments include fixed interest and variable rate loans or debt instruments, however called, and other forms of security such as redeemable preference shares, provided their terms of issue specify a maturity date. It is similar in meaning to "redemption date". Some instruments have ''no fixed maturity date'' which continue indefinitely (unless repayment is agreed between the borrower and the lenders at some point) and may be known as "perpetual stocks". Some instruments have a range of possible maturity dates, and such stocks can usually be repaid at any time within that range, as chosen by the bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Face Value
The face value, sometimes called nominal value, is the value of a coin, bond, stamp or paper money as printed on the coin, stamp or bill itself by the issuing authority. The face value of coins, stamps, or bill is usually its legal value. However, their market value need not bear any relationship to the face value. For example, some rare coins or stamps may be traded at prices considerably above their face value. Coins may also have a salvage value due to more or less valuable metals that they contain. Overview The face value of bonds usually represents the principal or redemption value. Interest payments are expressed as a percentage of face value. Before maturity, the actual value of a bond may be greater or less than face value, depending on the interest rate payable and the perceived risk of default. As bonds approach maturity, actual value approaches face value. In the case of stock certificates, face value is the par value of the stock. In the case of common stock, p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interest Rate
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited, or borrowed. The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized. The interest rate has been characterized as "an index of the preference . . . for a dollar of present ncomeover a dollar of future income." The borrower wants, or needs, to have money sooner rather than later, and is willing to pay a fee—the interest rate—for that privilege. Influencing factors Interest rates vary according to: * the government's directives to the central bank to accomplish the government's goals * the currency of the principal sum lent or borrowed * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nominal Yield
The coupon rate (nominal rate, or nominal yield) of a fixed income security is the interest rate that the issuer agrees to pay to the security holder each year, expressed as a percentage of the security's principal amount or par value. The coupon rate is typically stated in the name of the bond, such as "US Treasury Bond 6.25%". Unlike current yield The current yield, interest yield, income yield, flat yield, market yield, mark to market yield or running yield is a financial term used in reference to bonds and other fixed-interest securities such as gilts. It is the ratio of the annual int ..., it does not vary with the market price of the security. Coupon rates are fixed for the life of the security, except in the case of floating-rate bonds. References Bond valuation Fixed income analysis {{Econ-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Volatility (finance)
In finance, volatility (usually denoted by ''σ'') is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Volatility terminology Volatility as described here refers to the actual volatility, more specifically: * actual current volatility of a financial instrument for a specified period (for example 30 days or 90 days), based on historical prices over the specified period with the last observation the most recent price. * actual historical volatility which refers to the volatility of a financial instrument over a specified period but with the last observation on a date in the past **near synonymous is realized volatility, the square root of the realized variance, in turn calculated using the sum of squ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Black–Scholes Model
The Black–Scholes or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing derivative investment instruments, using various underlying assumptions. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which gives a theoretical estimate of the price of European-style options and shows that the option has a ''unique'' price given the risk of the security and its expected return (instead replacing the security's expected return with the risk-neutral rate). The equation and model are named after economists Fischer Black and Myron Scholes; Robert C. Merton, who first wrote an academic paper on the subject, is sometimes also credited. The main principle behind the model is to hedge the option by buying and selling the underlying asset in a specific way to eliminate risk. This type of hedging is called "continuously revised delta hedging ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bond Option
In finance, a bond option is an option to buy or sell a bond at a certain price on or before the option expiry date. These instruments are typically traded OTC. *A European bond option is an option to buy or sell a bond at a certain date in future for a predetermined price. *An American bond option is an option to buy or sell a bond ''on or before'' a certain date in future for a predetermined price. Generally, one buys a call option on the bond if one believes that interest rates will fall, causing an increase in bond prices. Likewise, one buys the put option if one believes that interest rates will rise. One result of trading in a bond option, is that the price of the underlying bond is "locked in" for the term of the contract, thereby reducing the credit risk associated with fluctuations in the bond price. Valuation Bonds, the underlyers in this case, exhibit what is known as pull-to-par: as the bond reaches its maturity date, all of the prices involved with the bond beco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bond Valuation
Bond valuation is the determination of the fair price of a bond. As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate. Hence, the value of a bond is obtained by discounting the bond's expected cash flows to the present using an appropriate discount rate. In practice, this discount rate is often determined by reference to similar instruments, provided that such instruments exist. Various related yield-measures are then calculated for the given price. Where the market price of bond is less than its face value (par value), the bond is selling at a discount. Conversely, if the market price of bond is greater than its face value, the bond is selling at a premium. For this and other relationships between price and yield, see below. If the bond includes embedded options, the valuation is more difficult and combines option pricing with discounting. Depending on the type of option, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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