|
Cashflow 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 to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hedge (finance)
A hedge is an investment Position (finance), 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 policy, insurance, forward contracts, swap (finance), swaps, option (finance), options, gambles, many types of Over-the-counter (finance), over-the-counter and Derivative (finance), 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 derivative, 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 o ... [...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 immunizati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finance
Finance refers to monetary resources and to the study and Academic discipline, discipline of money, currency, assets and Liability (financial accounting), liabilities. As a subject of study, is a field of Business administration, Business Administration wich study the planning, organizing, leading, and controlling of an organization's resources to achieve its goals. Based on the scope of financial activities in financial systems, the discipline can be divided into Personal finance, personal, Corporate finance, corporate, and public finance. In these financial systems, assets are bought, sold, or traded as financial instruments, such as Currency, currencies, loans, Bond (finance), bonds, Share (finance), shares, stocks, Option (finance), options, Futures contract, futures, etc. Assets can also be banked, Investment, invested, and Insurance, insured to maximize value and minimize loss. In practice, Financial risk, risks are always present in any financial action and entities. Due ... [...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 p ... [...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 and objective 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 polytope. A linear programming algorithm finds a point in the po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bond (finance)
In finance, a bond is a type of Security (finance), security under which the issuer (debtor) owes the holder (creditor) a debt, and is obliged – depending on the terms – to provide cash flow to the creditor (e.g. repay the principal (i.e. amount borrowed) of the bond at the Maturity (finance), maturity date and interest (called the coupon (bond), coupon) over a specified amount of time.) The timing and the amount of cash flow provided varies, depending on the economic value that is emphasized upon, thus giving rise to different types of bonds. 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 Share capital, stocks are both Security (finance), securities, but the major difference between the two is that (capital) stockholders h ... [...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 and objective 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 polytope. A linear programming algorithm finds a point in the polytope where this function has the largest (or smallest) value if such a point exists. Linear programs are problems that can be expressed in standard form as: : \begin & ... [...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. 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) - the financial metric that measures the ability of a project to gen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duration Gap
In Finance, and accounting, and particularly in asset and liability management (ALM), the duration gap measures how well matched are the timings of Cash flow, cash inflows (from assets) and cash outflows (from liabilities), and is then one of the primary asset–liability mismatches considered in the ALM process. The term is typically used by banks, pension funds, or other financial institutions to measure, and manage, their risk due to changes in the interest rate: by duration matching, that is creating a "zero duration gap", the firm becomes immunization (finance), immunized against interest rate risk. See . Frederic S. Mishkin and Apostolos Serletis (2004)Duration Gap Analysis Staff (2020)Risk Management for Changing Interest Rates: Asset-Liability Management and Duration Techniques analystprep.com Measurement Formally, the duration gap is the difference between the Bond duration, duration - i.e. the Bond_duration#Modified_duration, average ''maturity'' - of assets and liab ... [...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 securitization, securitizing mortgage loans in the form of mortgage-backed security, 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 2024, with over $4.3 trillion in assets, Fannie Mae is the largest company in the United States and the fifth largest company in the world, by assets. Fannie Mae was ranked number 27 on the Fortune 500, ''Fortune'' 50 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cash Flow
Cash flow, in general, refers to payments made into or out of a business, project, or financial product. It can also refer more specifically to a real or virtual movement of money. *Cash flow, in its narrow sense, is a payment (in a currency), especially from one central bank account to another. The term 'cash flow' is mostly used to describe payments that are expected to happen in the future, are thus uncertain, and therefore need to be forecast with cash flows. *A cash flow is determined by its time , nominal amount , currency , and account ; symbolically, . Cash flows are narrowly interconnected with the concepts of value, interest rate, and liquidity. A cash flow that shall happen on a future day can be transformed into a cash flow of the same value in . This transformation process is known as discounting, and it takes into account the time value of money by adjusting the nominal amount of the cash flow based on the prevailing interest rates at the time. Cash flow analy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
