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Financial Engineering

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金融工程Financial Engineering

●Forward contract

In finance, a forward contract or simply a forward is a non-standardized contract between two parties to buy or sell an asset at a specified future time at a price agreed today. This is in contrast to a spot contract, which is an agreement to buy or sell an asset today. It costs nothing to enter a forward contract. The party agreeing to buy the underlying asset in the future assumes a long position(多方), and the party agreeing to sell the asset in the future assumes a short position(空方). The price agreed upon is called the delivery price, which is equal to the forward price at the time the contract is entered into.

The value of a forward position at maturity depends on the relationship between the delivery price (K)交割价格 and the underlying price (ST) 到期日即期价格at that time. ---For a long position this payoff is: fT = ST ? K ---For a short position, it is: fT = K ? ST

(图中X就是K)

●Futures contract

In finance, a futures contract is a standardized contract between two parties to exchange a

specified asset of standardized quantity and quality for a price agreed today (the futures price or the strike price) with delivery occurring at a specified future date, the delivery date交割日期.

Leveraged transactions

●Option

In finance, an option is a derivative financial instrument that specifies a contract between two parties for a future transaction on an asset at a reference price. The buyer of the option gains the right, but not the obligation, to engage in that transaction, while the seller incurs the corresponding obligation to fulfill the transaction.

Long call

Payoff from buying a call.

A trader who believes that a stock's price will increase might buy the right to purchase the stock (a call option) rather than just purchase the stock itself. He would have no obligation to buy the stock, only the right to do so until the expiration date. If the stock price at expiration is above the exercise price by more than the premium (price) paid, he will profit. If the stock price at

expiration is lower than the exercise price, he will let the call contract expire worthless, and only lose the amount of the premium. A trader might buy the option instead of shares, because for the same amount of money, he can control (leverage) a much larger number of shares.

Long put

Payoff from buying a put.

A trader who believes that a stock's price will decrease can buy the right to sell the stock at a fixed price (a put option). He will be under no obligation to sell the stock, but has the right to do so until the expiration date. If the stock price at expiration is below the exercise price by more than the premium paid, he will profit. If the stock price at expiration is above the exercise price, he will let the put contract expire worthless and only lose the premium paid.

Short call

Payoff from writing a call.

A trader who believes that a stock price will decrease can sell the stock short or instead sell, or \buyer's option. If the stock price decreases, the short call position will make a profit in the amount of the premium. If the stock price increases over the exercise price by more than the amount of the premium, the short will lose money, with the potential loss unlimited.

Short put

Payoff from writing a put.

A trader who believes that a stock price will increase can buy the stock or instead sell, or \a put. The trader selling a put has an obligation to buy the stock from the put buyer at the put buyer's option. If the stock price at expiration is above the exercise price, the short put position will make a profit in the amount of the premium. If the stock price at expiration is below the exercise price by more than the amount of the premium, the trader will lose money, with the potential loss being up to the full value of the stock. A benchmark index for the performance of a cash-secured short put option position is the CBOE S&P 500 PutWrite Index (ticker PUT).

Pricing Model: Black-Scholes model, Binomial tree pricing model

●Swap

In finance, a swap is a derivative in which counterparties exchange certain benefits of one party's financial instrument for those of the other party's financial instrument. The benefits in question depend on the type of financial instruments involved.

◇Interest rate swaps

The reason for this exchange is to take benefit from comparative advantage.

A is currently paying floating, but wants to pay fixed. B is currently paying fixed but wants to pay floating. By entering into an interest rate swap, the net result is that each party can 'swap' their existing obligation for their desired obligation. Normally the parties do not swap payments directly, but rather, each sets up a separate swap with a financial intermediary such as a bank. In return for matching the two parties together, the bank takes a spread from the swap payments.

◇Currency swaps

Financial Engineering

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