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I-spread
The Interpolated Spread or I-spread or ISPRD of a bond is the difference between its yield to maturity and the linearly interpolated yield for the same maturity on an appropriate reference yield curve. The reference curve may refer to government debt securities or interest rate swaps or other benchmark instruments, and should always be explicitly specified. If the bond is expected to repay some principal before its final maturity, then the interpolation may be based on the weighted-average life, rather than the maturity. See also * Asset swap spread * Option-adjusted spread * Z-spread The Z-spread, ZSPRD, zero-volatility spread or yield curve spread of a bond is the parallel shift or spread over the zero-coupon Treasury yield curve required for discounting a pre-determined cash flow schedule to arrive at its present market pri ... References Bond valuation Fixed income analysis {{Econ-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Option-adjusted Spread
Option-adjusted spread (OAS) is the yield spread which has to be added to a benchmark yield curve to discount a security's payments to match its market price, using a dynamic pricing model that accounts for embedded options. OAS is hence model-dependent. This concept can be applied to a mortgage-backed security (MBS), or another bond with embedded options, or any other interest rate derivative or option. More loosely, the OAS of a security can be interpreted as its "expected outperformance" versus the benchmarks, if the cash flows and the yield curve behave consistently with the valuation model. In the context of an MBS or callable bond, the embedded option relates primarily to the borrower's right to early repayment, a right commonly exercised via the borrower refinancing the debt. These securities must therefore pay higher yields than noncallable debt, and their values are more fairly compared by OAS than by yield. OAS is usually measured in basis points (bp, or 0.01%). For a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Z-spread
The Z-spread, ZSPRD, zero-volatility spread or yield curve spread of a bond is the parallel shift or spread over the zero-coupon Treasury yield curve required for discounting a pre-determined cash flow schedule to arrive at its present market price. The Z-spread is also widely used in the credit default swap (CDS) market as a measure of credit spread that is relatively insensitive to the particulars of specific corporate or government bonds. Since the Z-spread uses the entire yield curve to value the individual cash flows of a bond, it provides a more realistic valuation than an interpolated yield spread based on a single point of the curve, such as the bond's final maturity date or weighted-average life. However, the Z-spread does not incorporate variability in cash flows, so a fuller valuation of an interest-rate-dependent security often requires the more realistic (and more complicated) option-adjusted spread (OAS). Definition The Z-spread of a bond is the number of basis poi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weighted-average Life
In finance, the weighted-average life (WAL) of an amortizing loan or amortizing bond, also called average life, is the weighted average of the times of the ''principal repayments'': it's the average time until a dollar of principal is repaid. In a formula, :\text = \sum_^n \frac t_i, where: * P is the (total) principal, * P_i is the principal repayment that is included in payment i, hence * \frac is the fraction of the total principal that is included in payment i, and * t_i is the time (in years) from the calculation date to payment i. If desired, t_i can be expanded as \frac(i+\alpha-1) for a monthly bond, where \alpha is the fraction of a month between settlement date and first cash flow date. WAL of classes of loans In loans that allow prepayment, the WAL cannot be computed from the amortization schedule alone; one must also make assumptions about the prepayment and default behavior, and the quoted WAL will be an estimate. The WAL is usually computed from a single cash-flow se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yield To Maturity
The yield to maturity (YTM), book yield or redemption yield of a bond or other fixed-interest security, such as gilts, is an estimate of the total rate of return anticipated to be earned by an investor who buys a bond at a given market price, holds it to maturity, and receives all interest payments and the capital redemption on schedule. It is the (theoretical) internal rate of return (IRR, overall interest rate): the discount rate at which the present value of all future cash flows from the bond (coupons and principal) is equal to the current price of the bond. The YTM is often given in terms of Annual Percentage Rate (A.P.R.), but more often market convention is followed. In a number of major markets (such as gilts) the convention is to quote annualized yields with semi-annual compounding (see compound interest); thus, for example, an annual effective yield of 10.25% would be quoted as 10.00%, because 1.05 × 1.05 = 1.1025 and 2 × 5 = 10. Main assumptions The YTM calculat ... [...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] |
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] |
Linear Interpolation
In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points. Linear interpolation between two known points If the two known points are given by the coordinates (x_0,y_0) and (x_1,y_1), the linear interpolant is the straight line between these points. For a value in the interval (x_0, x_1), the value along the straight line is given from the equation of slopes \frac = \frac, which can be derived geometrically from the figure on the right. It is a special case of polynomial interpolation with . Solving this equation for , which is the unknown value at , gives \begin y &= y_0 + (x-x_0)\frac \\ &= \frac + \frac\\ &= \frac \\ &= \frac, \end which is the formula for linear interpolation in the interval (x_0,x_1). Outside this interval, the formula is identical to linear extrapolation. This formula can also be understood as a weighted average. The weights are inv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yield Curve
In finance, the yield curve is a graph which depicts how the yields on debt instruments - such as bonds - vary as a function of their years remaining to maturity. Typically, the graph's horizontal or x-axis is a time line of months or years remaining to maturity, with the shortest maturity on the left and progressively longer time periods on the right. The vertical or y-axis depicts the annualized yield to maturity. Those who issue and trade in forms of debt, such as loans and bonds, use yield curves to determine their value. Shifts in the shape and slope of the yield curve are thought to be related to investor expectations for the economy and interest rates. Ronald Melicher and Merle Welshans have identified several characteristics of a properly constructed yield curve. It should be based on a set of securities which have differing lengths of time to maturity, and all yields should be calculated as of the same point in time. All securities measured in the yield curve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Government Bond
A government bond or sovereign bond is a form of bond issued by a government to support public spending. It generally includes a commitment to pay periodic interest, called coupon payments'','' and to repay the face value on the maturity date. For example, a bondholder invests $20,000, called face value or principal, into a 10-year government bond with a 10% annual coupon; the government would pay the bondholder 10% interest each year and repay the $20,000 original face value at the date of maturity (i.e. after 10 years). Government bonds can be denominated in a foreign currency or the government's domestic currency. Countries with less stable economies tend to denominate their bonds in the currency of a country with a more stable economy (i.e. a hard currency). When governments with less stable economies issue bonds, there is a possibility they will be unable to repay bondholders, resulting in a default. All bonds carry a default risk. International credit rating agencies p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interest Rate Swap
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 $381 trillion, and the gross market value of $14 trillion. Interest rate swaps can be traded as an index through the FTSE MTIRS Index. Interest rate swaps General description An interest rate swap's (IRS's) effective description is a derivative contract, agreed between two counterparties, which specifies the nature of an exchange of payments benchmarked against an interest rate index. The most common IRS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lehman Brothers
Lehman Brothers Holdings Inc. ( ) was an American global financial services firm founded in 1847. Before Bankruptcy of Lehman Brothers, filing for bankruptcy in 2008, Lehman was the fourth-largest investment bank in the United States (behind Goldman Sachs, Morgan Stanley, and Merrill (company), Merrill Lynch), with about 25,000 employees worldwide. It was doing business in investment banking, Stock, equity, Bond (finance), fixed-income and Derivative (finance), derivatives sales and stock trading, trading (especially U.S. Treasury securities), research, investment management, private equity, and private banking. Lehman was operational for 158 years from its founding in 1850 until 2008. On September 15, 2008, Lehman Brothers filed for Chapter 11, Title 11, United States Code, Chapter 11 bankruptcy protection following the exodus of most of its clients, drastic declines in its stock price, and the devaluation of assets by credit rating agencies. The collapse was largely due to Lehm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Principal (finance)
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, which differentiates it from an immediate purchase. The debt may be owed by sovereign state or country, local government, company, or an individual. Commercial debt is generally subject to contractual terms regarding the amount and timing of repayments of principal and interest. Loans, bonds, notes, and mortgages are all types of debt. In financial accounting, debt is a type of financial transaction, as distinct from equity. The term can also be used metaphorically to cover moral obligations and other interactions not based on a monetary value. For example, in Western cultures, a person who has been helped by a second person is sometimes said to owe a "debt of gratitude" to the second person. Etymology The English term "debt" was first used in the late 13th century. The term "debt" comes from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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