Income is the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields. For example, a person's income in an economic sense may be different from their income as defined by law.
In economics and finance, present value (PV), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential, a characteristic referred to as the time value of money, except during times of negative interest rates, when the present value will be equal or more than the future value. Time value can be described with the simplified phrase, "A dollar today is worth more than a dollar tomorrow". Here, 'worth more' means that its value is greater than tomorrow. A dollar today is worth more than a dollar tomorrow because the dollar can be invested and earn a day's worth of interest, making the total accumulate to a value more than a dollar by tomorrow. Interest can be compared to rent. Just as rent is paid to a landlord by a tenant without the ownership of the asset being transferred, interest is paid to a lender by a borrower who gains access to the money for a time before paying it back. By letting the borrower have access to the money, the lender has sacrificed the exchange value of this money, and is compensated for it in the form of interest. The initial amount of borrowed funds is less than the total amount of money paid to the lender.
The time value of money is the widely accepted conjecture that there is greater benefit to receiving a sum of money now rather than an identical sum later. It may be seen as an implication of the later-developed concept of time preference.
An individual retirement account (IRA) in the United States is a form of pension provided by many financial institutions that provides tax advantages for retirement savings. It is a trust that holds investment assets purchased with a taxpayer's earned income for the taxpayer's eventual benefit in old age. An individual retirement account is a type of individual retirement arrangement as described in IRS Publication 590, Individual Retirement Arrangements (IRAs). Other arrangements include employer-established benefit trusts and individual retirement annuities, by which a taxpayer purchases an annuity contract or an endowment contract from a life insurance company.
In finance, the duration of a financial asset that consists of fixed cash flows, such as a bond, is the weighted average of the times until those fixed cash flows are received. When the price of an asset is considered as a function of yield, duration also measures the price sensitivity to yield, the rate of change of price with respect to yield, or the percentage change in price for a parallel shift in yields.
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.
Universal life insurance is a type of cash value life insurance, sold primarily in the United States. Under the terms of the policy, the excess of premium payments above the current cost of insurance is credited to the cash value of the policy, which is credited each month with interest. The policy is debited each month by a cost of insurance (COI) charge as well as any other policy charges and fees drawn from the cash value, even if no premium payment is made that month. Interest credited to the account is determined by the insurer but has a contractual minimum rate. When an earnings rate is pegged to a financial index such as a stock, bond or other interest rate index, the policy is an "Indexed universal life" contract. Such policies offer the advantage of guaranteed level premiums throughout the insured's lifetime at a substantially lower premium cost than an equivalent whole life policy at first. The cost of insurance always increases, as is found on the cost index table. That not only allows for easy comparison of costs between carriers but also works well in irrevocable life insurance trusts (ILITs) since cash is of no consequence.
Tax advantage refers to the economic bonus which applies to certain accounts or investments that are, by statute, tax-reduced, tax-deferred, or tax-free. Examples of tax-advantaged accounts and investments include retirement plans, education savings accounts, medical savings accounts, and government bonds. Governments establish tax advantages to encourage private individuals to contribute money when it is considered to be in the public interest.
In mathematics, Monte Carlo integration is a technique for numerical integration using random numbers. It is a particular Monte Carlo method that numerically computes a definite integral. While other algorithms usually evaluate the integrand at a regular grid, Monte Carlo randomly chooses points at which the integrand is evaluated. This method is particularly useful for higher-dimensional integrals.
In finance, return is a profit on an investment. It comprises any change in value of the investment, and/or cash flows which the investor receives from that investment over a specified time period, such as interest payments, coupons, cash dividends and stock dividends. It may be measured either in absolute terms or as a percentage of the amount invested. The latter is also called the holding period return.
The actuarial present value (APV) is the expected value of the present value of a contingent cash flow stream. Actuarial present values are typically calculated for the benefit-payment or series of payments associated with life insurance and life annuities. The probability of a future payment is based on assumptions about the person's future mortality which is typically estimated using a life table.
In the United States, an annuity is a financial product which offers tax-deferred growth and which usually offers benefits such as an income for life. Typically these are offered as structured (insurance) products that each state approves and regulates in which case they are designed using a mortality table and mainly guaranteed by a life insurer. There are many different varieties of annuities sold by carriers. In a typical scenario, an investor will make a single cash premium to own an annuity. After the policy is issued the owner may elect to annuitize the contract for a chosen period of time. This process is called annuitization and can also provide a predictable, guaranteed stream of future income during retirement until the death of the annuitant. Alternatively, an investor can defer annuitizing their contract to get larger payments later, hedge long-term care cost increases, or maximize a lump sum death benefit for a named beneficiary.
In insurance, an actuarial reserve is a reserve set aside for future insurance liabilities. It is generally equal to the actuarial present value of the future cash flows of a contingent event. In the insurance context an actuarial reserve is the present value of the future cash flows of an insurance policy and the total liability of the insurer is the sum of the actuarial reserves for every individual policy. Regulated insurers are required to keep offsetting assets to pay off this future liability.
Mortgage calculators are automated tools that enable users to determine the financial implications of changes in one or more variables in a mortgage financing arrangement. Mortgage calculators are used by consumers to determine monthly repayments, and by mortgage providers to determine the financial suitability of a home loan applicant. Mortgage calculators are frequently on for-profit websites, though the Consumer Financial Protection Bureau has launched its own public mortgage calculator.
A life annuity is an annuity, or series of payments at fixed intervals, paid while the purchaser is alive. The majority of life annuities are insurance products sold or issued by life insurance companies however substantial case law indicates that annuity products are not necessarily insurance products.
Analogous to continuous compounding, a continuous annuity is an ordinary annuity in which the payment interval is narrowed indefinitely. A (theoretical) continuous repayment mortgage is a mortgage loan paid by means of a continuous annuity.
Taxation may involve payments to a minimum of two different levels of government: central government through SARS or to local government. Prior to 2001 the South African tax system was "source-based", where in income is taxed in the country where it originates. Since January 2001, the tax system was changed to "residence-based" wherein taxpayers residing in South Africa are taxed on their income irrespective of its source. Non residents are only subject to domestic taxes.
The Atkinson–Stiglitz theorem is a theorem of public economics. It implies that no indirect taxes need to be employed where the utility function is separable between labor and all commodities. Non-linear income taxation can be used by the government and was in a seminal article by Joseph Stiglitz and Anthony Atkinson in 1976. The Atkinson–Stiglitz theorem is generally considered one an important theoretical result in public economics and spawned a broad literature that delimited the conditions under which the theorem holds For example, Saez (2002) demonstrated that the Atkinson–Stiglitz theorem does not hold if households have heterogeneous preferences rather than homogeneous ones. In practice, the Atkinson–Stiglitz theorem has often been invoked in the debate on optimal capital income taxation. Because capital income taxation can be interpreted as the taxation of future consumption over the taxation of present consumption, the theorem implies that governments should abstain from capital income taxation if non-linear income taxation is an option since capital income taxation would not improve equity by comparison to the non-linear income tax, while additionally distorting savings.
In investment, an annuity is a series of payments made at equal intervals. Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments. Annuities can be classified by the frequency of payment dates. The payments (deposits) may be made weekly, monthly, quarterly, yearly, or at any other regular interval of time. Annuities may be calculated by mathematical functions known as "annuity functions".
In the United States, Form 1099-R is a variant of Form 1099 used for reporting on distributions from pensions, annuities, retirement or profit sharing plans, IRAs, charitable gift annuities and Insurance Contracts. Form 1099-R is filed for each person who has received a distribution of $10 or more from any of the above.
