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Convenience Yield
A convenience yield is an implied return on holding inventories. It is an adjustment to the cost of carry in the non-arbitrage pricing formula for forward prices in markets with trading constraints. Let F_ be the forward price of an asset with initial price S_t and maturity T. Suppose that r is the continuously compounded interest rate for one year. Then, the non-arbitrage pricing formula should be F_ = S_t \cdot e^ However, this relationship does not hold in most commodity markets, partly because of the inability of investors and speculators to short the underlying asset, S_t. Instead, there is a correction to the forward pricing formula given by the convenience yield c. Hence F_ = S_t \cdot e^ This makes it possible for backwardation to be observable. Example A trader has observed that the price of six-month (T) gold futures price (F) is $1,300 per troy ounce, whereas the spot price (S) is $1,371 per troy ounce. The (not compounded) borrowing rate for a six-month loan ...
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Cost Of Carry
The cost of carry or carrying charge is the cost of holding a security or a physical commodity over a period of time. The carrying charge includes insurance, storage and interest on the invested funds as well as other incidental costs. In interest rate futures markets, it refers to the differential between the yield on a cash instrument and the cost of the funds necessary to buy the instrument. If long, the cost of carry is the cost of interest paid on a margin account. Conversely, if short, the cost of carry is the cost of paying dividends, or rather the opportunity cost; the cost of purchasing a particular security rather than an alternative. For most investments, the cost of carry generally refers to the risk-free interest rate that could be earned by investing currency in a theoretically safe investment vehicle such as a money market account minus any future cash flows that are expected from holding an equivalent instrument with the same risk (generally expressed in percenta ...
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Arbitrage
In economics and finance, arbitrage (, ) is the practice of taking advantage of a difference in prices in two or more markets; striking a combination of matching deals to capitalise on the difference, the profit being the difference between the market prices at which the unit is traded. When used by academics, an arbitrage is a transaction that involves no negative cash flow at any probabilistic or temporal state and a positive cash flow in at least one state; in simple terms, it is the possibility of a risk-free profit after transaction costs. For example, an arbitrage opportunity is present when there is the possibility to instantaneously buy something for a low price and sell it for a higher price. In principle and in academic use, an arbitrage is risk-free; in common use, as in statistical arbitrage, it may refer to ''expected'' profit, though losses may occur, and in practice, there are always risks in arbitrage, some minor (such as fluctuation of prices decreasing pr ...
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Forward Price
The forward price (or sometimes forward rate) is the agreed upon price of an asset in a forward contract. Using the rational pricing assumption, for a forward contract on an underlying asset that is tradeable, the forward price can be expressed in terms of the spot price and any dividends. For forwards on non-tradeables, pricing the forward may be a complex task. Forward price formula If the underlying asset is tradable and a dividend exists, the forward price is given by: : F = S_0 e^ - \sum_^N D_i e^ \, where :F is the forward price to be paid at time T :e^x is the exponential function (used for calculating continuous compounding interests) :r is the risk-free interest rate :q is the convenience yield :S_0 is the spot price of the asset (i.e. what it would sell for at time 0) :D_i is a dividend that is guaranteed to be paid at time t_i where 0< t_i < T.


Proof of the forward price formula

The two questions here are what price the short position (th ...
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Backwardation
Normal backwardation, also sometimes called backwardation, is the market condition where the price of a commodity's forward or futures contract is trading below the ''expected'' spot price at contract maturity. The resulting futures or forward curve would ''typically'' be downward sloping (i.e. "inverted"), since contracts for further dates would typically trade at even lower prices. In practice, the expected future spot price is unknown, and the term "backwardation" may refer to "positive basis", which occurs when the current spot price exceeds the price of the future. The opposite market condition to normal backwardation is known as contango. Contango refers to "negative basis" where the future price is trading above the expected spot price. Note: In industry parlance backwardation may refer to the situation that futures prices are below the ''current'' spot price. Backwardation occurs when the difference between the forward price and the spot price is less than the cost of ...
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Consumption Asset
Consumption may refer to: * Resource consumption *Tuberculosis, an infectious disease, historically * Consumption (ecology), receipt of energy by consuming other organisms * Consumption (economics), the purchasing of newly produced goods for current use also defined as the consuming of products ** Consumption function, an economic formula * Consumption (sociology) of resources, associated with social class, identity, group membership, and age See also * * Consumerism Consumerism is a social and economic order that encourages the acquisition of goods and services in ever-increasing amounts. With the Industrial Revolution, but particularly in the 20th century, mass production led to overproduction—the su ...
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Rational Investor
The term ''Homo economicus'', or economic man, is the portrayal of humans as agents who are consistently rational and narrowly self-interested, and who pursue their subjectively defined ends optimally. It is a word play on ''Homo sapiens'', used in some economic theories and in pedagogy. In game theory, ''Homo economicus'' is often modelled through the assumption of perfect rationality. It assumes that agents always act in a way that maximize utility as a consumer and profit as a producer, and are capable of arbitrarily complex deductions towards that end. They will always be capable of thinking through all possible outcomes and choosing that course of action which will result in the best possible result. The rationality implied in ''Homo economicus'' does not restrict what sort of preferences are admissible. Only naive applications of the ''Homo economicus'' model assume that agents know what is best for their long-term physical and mental health. For example, an agent's u ...
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Futures Contract
In finance, a futures contract (sometimes called a futures) is a standardized legal contract to buy or sell something at a predetermined price for delivery at a specified time in the future, between parties not yet known to each other. The asset transacted is usually a commodity or financial instrument. The predetermined price of the contract is known as the ''forward price''. The specified time in the future when delivery and payment occur is known as the ''delivery date''. Because it derives its value from the value of the underlying asset, a futures contract is a derivative. Contracts are traded at futures exchanges, which act as a marketplace between buyers and sellers. The buyer of a contract is said to be the long position holder and the selling party is said to be the short position holder. As both parties risk their counter-party reneging if the price goes against them, the contract may involve both parties lodging as security a margin of the value of the contract with a ...
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