Annuity (financial Contracts), Annuities
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Annuity (financial Contracts), Annuities
In investment, an annuity is a series of payments made at equal intervals based on a contract with a lump sum of money. Insurance companies are common annuity providers and are used by clients for things like retirement or death benefits. 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". An annuity which provides for payments for the remainder of a person's lifetime is a life annuity. An annuity which continues indefinitely is a perpetuity. Types Annuities may be classified in several ways. Timing of payments Payments of an ''annuity-immediate'' are made at the end of payment periods, so that interest accrues between the is ...
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Investment
Investment is traditionally defined as the "commitment of resources into something expected to gain value over time". If an investment involves money, then it can be defined as a "commitment of money to receive more money later". From a broader viewpoint, an investment can be defined as "to tailor the pattern of expenditure and receipt of resources to optimise the desirable patterns of these flows". When expenditures and receipts are defined in terms of money, then the net monetary receipt in a time period is termed cash flow, while money received in a series of several time periods is termed cash flow stream. In finance, the purpose of investing is to generate a Return (finance), return on the invested asset. The return may consist of a capital gain (profit) or loss, realised if the investment is sold, unrealised capital appreciation (or depreciation) if yet unsold. It may also consist of periodic income such as dividends, interest, or rental income. The return may also inclu ...
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Nominal Interest Rate
In finance and economics, the nominal interest rate or nominal rate of interest is the rate of interest stated on a loan or investment, without any adjustments for inflation. Examples of adjustments or fees # An adjustment for inflation (in contrast with the real interest rate). # Compound interest (also referred to as the nominal annual rate). Nominal versus real interest rate The concept of real interest rate is useful to account for the impact of inflation. In the case of a loan, it is this real interest that the lender effectively receives. For example, if the lender is receiving 8 percent from a loan and the inflation rate is also 8 percent, then the (effective) real rate of interest is zero: despite the increased nominal amount of currency received, the lender would have no monetary value benefit from such a loan because each unit of currency would be devalued due to inflation by the same factor as the nominal amount gets increased. The relationship between the real intere ...
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Time Value Of Money
The time value of money refers to the fact that there is normally a 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. The time value of money refers to the observation that it is better to receive money sooner than later. Money you have today can be invested to earn a positive rate of return, producing more money tomorrow. Therefore, a dollar today is worth more than a dollar in the future. The time value of money is among the factors considered when weighing the opportunity costs of spending rather than saving or investing money. As such, it is among the reasons why interest is paid or earned: interest, whether it is on a bank deposit or debt, compensates the depositor or lender for the loss of their use of their money. Investors are willing to forgo spending their money now only if they expect a favorable net rate of return, return on their investment in the fut ...
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Perpetuity
In finance, a perpetuity is an annuity that has no end, or a stream of cash payments that continues forever. There are few actual perpetuities in existence. For example, the United Kingdom (UK) government issued them in the past; these were known as consols and were all finally redeemed in 2015. Real estate and preferred stock are among some types of investments that effect the results of a perpetuity, and prices can be established using techniques for valuing a perpetuity. Perpetuities are but one of the time value of money methods for valuing financial assets. Perpetuities can be structured as a perpetual bond and are a form of ordinary annuities. The concept is closely linked to terminal value and terminal growth rate in valuation. Detailed description A perpetuity is an annuity in which the periodic payments begin on a fixed date and continue indefinitely. It is sometimes referred to as a perpetual annuity. Fixed coupon payments on permanently invested (irredeemable ...
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Fixed Rate Mortgage
A fixed-rate mortgage (FRM) is a mortgage loan where the interest rate on the note remains the same through the term of the loan, as opposed to loans where the interest rate may adjust or "float". As a result, payment amounts and the duration of the loan are fixed and the person who is responsible for paying back the loan benefits from a consistent, single payment and the ability to plan a budget based on this fixed cost. Other forms of mortgage loans include interest only mortgage, graduated payment mortgage, variable rate mortgage (including adjustable-rate mortgages and tracker mortgages), negative amortization mortgage, and balloon payment mortgage. Unlike many other loan types, FRM interest payments and loan duration is fixed from beginning to end. Fixed-rate mortgages are characterized by amount of loan, interest rate, compounding frequency, and duration. With these values, the monthly repayments can be calculated. Fixed-rate mortgages are vulnerable to inflation ris ...
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Amortization Calculator
An amortization calculator is used to determine the periodic payment amount due on a loan (typically a mortgage), based on the amortization process. The amortization repayment model factors varying amounts of both interest In finance and economics, interest is payment from a debtor or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum (that is, the amount borrowed), at a particular rate. It is distinct f ... and principal into every installment, though the total amount of each payment is the same. An amortization schedule calculator is often used to adjust the loan amount until the monthly payments will fit comfortably into budget, and can vary the interest rate to see the difference a better rate might make in the kind of home or car one can afford. An amortization calculator can also reveal the exact dollar amount that goes towards interest and the exact dollar amount that goes towards principal out of each indivi ...
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Annuities Under Swiss Law
A Swiss annuity simply refers to a fixed or variable annuity marketed from Switzerland or issued by a Swiss based life insurance company but has no legal definition. Insurance brokers promoting annuity contracts issued by insurance companies domiciled in jurisdictions outside of Switzerland, such as Liechtenstein, also market such contracts as Swiss annuities. The hallmarks of a Swiss annuity generally include the ability to invest in multiple currencies, the custody of assets within Switzerland, and the flexibility of withdrawals. Often touted benefits of a Swiss annuity include the safety of Switzerland plus some degree of asset protection. U.S. tax considerations For U.S. taxpayers owning a fixed annuity issued by a non-U.S. insurance company, including a Swiss annuity, the interest credited within the policy is subject to U.S. income tax on an annual basis under the original issue discount rules. Variable annuities issued by non-U.S. insurance companies may permit tax deferr ...
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Annuities Under European Law
Under European Union law, an annuity is a financial contract which provides an income stream in return for an initial payment with specific parameters. It is the opposite of a Settlement (finance), settlement funding. A Swiss annuity is not considered a European annuity for tax reasons. Immediate annuity An immediate annuity is an annuity for which the time between the contract date and the date of the first payment is not longer than the time interval between payments. A common use for an immediate annuity is to provide a pension to a retired person or persons. It is a financial contract which makes a series of payments with certain characteristics: * either level or fluctuating periodical payments * made annually, or at more frequent intervals * in advance or arrears * duration may be: **fixed (annuity certain) **during the lifetime or one or more persons, possibly reduced after death of one person **during the lifetime but not longer than a maximum number of years **during th ...
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Annuities Under American Law
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 (usually the annuitant) will make a single cash premium to own an annuity. After the policy is issued the owner may elect to annuitize the contract (start receiving payments) for a chosen period of time (e.g., 5, 10, 20 years, a lifetime). This process is called annuitization and can also provide a predictable, guaranteed stream of future income during retirement until the death of the annuitant (or joint annuitants). Alternatively, an investor can defer annuitizing their contract to get larger payments later, hedge long-term care ...
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Fixed Rate Mortgage
A fixed-rate mortgage (FRM) is a mortgage loan where the interest rate on the note remains the same through the term of the loan, as opposed to loans where the interest rate may adjust or "float". As a result, payment amounts and the duration of the loan are fixed and the person who is responsible for paying back the loan benefits from a consistent, single payment and the ability to plan a budget based on this fixed cost. Other forms of mortgage loans include interest only mortgage, graduated payment mortgage, variable rate mortgage (including adjustable-rate mortgages and tracker mortgages), negative amortization mortgage, and balloon payment mortgage. Unlike many other loan types, FRM interest payments and loan duration is fixed from beginning to end. Fixed-rate mortgages are characterized by amount of loan, interest rate, compounding frequency, and duration. With these values, the monthly repayments can be calculated. Fixed-rate mortgages are vulnerable to inflation ris ...
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Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th ed., (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', vol. 1, 3rd ed., (1968), Wiley, . This number is often expressed as a percentage (%), ranging from 0% to 100%. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ...
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Life Table
In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, the probability that a person of that age will die before their next birthday ("probability of death"). In other words, it represents the survivorship of people from a certain population. They can also be explained as a long-term mathematical way to measure a population's longevity. Tables have been created by demographers including John Graunt, Reed and Merrell, Keyfitz, and Greville. There are two types of life tables used in actuarial science. The period life table represents mortality rates during a specific time period for a certain population. A cohort life table, often referred to as a generation life table, is used to represent the overall mortality rates of a certain population's entire lifetime. They must have had to be born during the same specific time interval. A cohort life table is more frequently used because it is able to m ...
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