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Cash Flow Matching
Cash flow matching is a process of hedging in which a company or other entity matches its cash outflows (i.e., financial obligations) with its cash inflows over a given time horizon. It is a subset of immunization strategies in finance. Cash flow matching is of particular importance to defined benefit pension plans. Solution with linear programming It is possible to solve the simple cash flow matching problem using linear programming. Suppose that we have a choice of j=1,...,n bonds with which to receive cash flows over t=1,...,T time periods in order to cover liabilities L_,...,L_ for each time period. The jth bond in time period t is assumed to have known cash flows F_ and initial price p_. It possible to buy x_ bonds and to run a surplus s_ in a given time period, both of which must be non-negative, and leads to the set of constraints:\begin \sum_^F_x_ - s_ &= L_ \\ \sum_^F_x_ + s_ - s_ &= L_, \quad t = 2,...,T \endOur goal is to minimize the initial cost of purchasing bonds ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hedge (finance)
A hedge is an investment position intended to offset potential losses or gains that may be incurred by a companion investment. A hedge can be constructed from many types of financial instruments, including stocks, exchange-traded funds, insurance, forward contracts, swaps, options, gambles, many types of over-the-counter and derivative products, and futures contracts. Public futures markets were established in the 19th century to allow transparent, standardized, and efficient hedging of agricultural commodity prices; they have since expanded to include futures contracts for hedging the values of energy, precious metals, foreign currency, and interest rate fluctuations. Etymology Hedging is the practice of taking a position in one market to offset and balance against the risk adopted by assuming a position in a contrary or opposing market or investment. The word hedge is from Old English ''hecg'', originally any fence, living or artificial. The first known use of the word ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Immunization (finance)
In finance, interest rate immunization is a portfolio management strategy designed to take advantage of the offsetting effects of interest rate risk and reinvestment risk. In theory, immunization can be used to ensure that the value of a portfolio of assets (typically bonds or other fixed income securities) will increase or decrease by the same amount as a designated set of liabilities, thus leaving the equity component of capital unchanged, regardless of changes in the interest rate. It has found applications in financial management of pension funds, insurance companies, banks and savings and loan associations. Immunization can be accomplished by several methods, including cash flow matching, duration matching, and volatility and convexity matching. It can also be accomplished by trading in bond forwards, futures, or options. Other types of financial risks, such as foreign exchange risk or stock market risk, can be immunised using similar strategies. If the immunization is ... [...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] |
Defined Benefit Pension Plan
Defined benefit (DB) pension plan is a type of pension plan in which an employer/sponsor promises a specified pension payment, lump-sum, or combination thereof on retirement that depends on an employee's earnings history, tenure of service and age, rather than depending directly on individual investment returns. Traditionally, many governmental and public entities, as well as a large number of corporations, provide defined benefit plans, sometimes as a means of compensating workers in lieu of increased pay.Lemke and Lins, ''ERISA for Money Managers'', §1:1 (Thomson West, 2013). A defined benefit plan is 'defined' in the sense that the benefit formula is defined and known in advance. Conversely, for a "defined contribution retirement saving plan," the formula for computing the employer's and employee's contributions is defined and known in advance, but the benefit to be paid out is not known in advance. In the United States, specifies a defined benefit plan to be any pension plan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Programming
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear function#As a polynomial function, linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique for the mathematical optimization, optimization of a linear objective function, subject to linear equality and linear inequality Constraint (mathematics), constraints. Its feasible region is a convex polytope, which is a set defined as the intersection (mathematics), intersection of finitely many Half-space (geometry), half spaces, each of which is defined by a linear inequality. Its objective function is a real number, real-valued affine function, affine (linear) function defined on this polyhedron. A linear programming algorithm finds a point in the polytope where ... [...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] |
Mixed Integer Linear Programming
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope, which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality. Its objective function is a real-valued affine (linear) function defined on this polyhedron. A linear programming algorithm finds a point in the polytope where this function has the smallest (or largest) value if such a point exists. Linear programs are problems that can be expressed in canonical form as : \begin & \text && \ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cash Flow Hedge
{{finance-stub A cash flow hedge is a hedge of the exposure to the variability of cash flow that # is attributable to a particular risk associated with a recognized asset or liability. Such as all or some future interest payments on variable rate debt or a highly probable forecast transaction and # could affect profit or loss (IAS 39, §86b) This is mostly an accountant's definition. See also * Hedge accounting * Accumulated other comprehensive income Note: Reference cited below, FAS130, remains the most current accounting literature in the United States on this topic. In 1997 the United States Financial Accounting Standards Board issued Statement on Financial Accounting Standards No. 130 ent ... * Statement of changes in equity Financial risk Cash flow Derivatives (finance) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Debt Sculpting
A project finance model is a specialized financial model, the purpose of which is to assess the economic feasibility of the project in question. The model's output can also be used in structuring, or "sculpting", the project finance deal. The context: project finance is the long-term financing of infrastructure and industrial projects based upon the projected cash flows of the project - rather than the balance sheets of its sponsors. The project is therefore only feasible when the project is capable of producing enough cash to cover all operating and debt-servicing expenses over the whole tenor of the debt. Most importantly, therefore, the model is used to determine the maximum amount of debt the project company (Special-purpose entity) can maintain - and the corresponding debt repayment profile; there are several related metrics here, the most important of which is arguably the Debt Service Coverage Ratio (DSCR). Model structure The general structure of any financial model ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duration Gap
Definition The difference between the duration of assets and liabilities held by a financial entity. Overview The duration gap is a financial and accounting term and is typically used by banks, pension funds, or other financial institutions to measure their risk due to changes in the interest rate. This is one of the mismatches that can occur and are known as asset–liability mismatches. Another way to define Duration Gap is: it is the difference in the price sensitivity of interest-yielding assets and the price sensitivity of liabilities (of the organization) to a change in market interest rates (yields). The duration gap measures how well matched are the timings of cash inflows (from assets) and cash outflows (from liabilities). When the duration of assets is larger than the duration of liabilities, the duration gap is positive. In this situation, if interest rates rise, assets will lose more value than liabilities, thus reducing the value of the firm's equity. If interest ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fannie Mae
The Federal National Mortgage Association (FNMA), commonly known as Fannie Mae, is a United States government-sponsored enterprise (GSE) and, since 1968, a publicly traded company. Founded in 1938 during the Great Depression as part of the New Deal, the corporation's purpose is to expand the secondary mortgage market by securitizing mortgage loans in the form of mortgage-backed securities (MBS), allowing lenders to reinvest their assets into more lending and in effect increasing the number of lenders in the mortgage market by reducing the reliance on locally based savings and loan associations (or "thrifts"). Its brother organization is the Federal Home Loan Mortgage Corporation (FHLMC), better known as Freddie Mac. In 2022, Fannie Mae was ranked number 33 on the ''Fortune'' 500 rankings of the largest United States corporations by total revenue. __TOC__ History Background and early decades Historically, most housing loans in the early 1900s in the United States were s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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