News Strategies and Analysis for Futures and Options

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Futures on equity indices

Alternative methods of weighting

It is generally considered that capitalization weighted indices give the most accurat indication of the collective movement in corporate asset or liability prices. However two alternative methods of weighting the constituents of equity indices are fowl,equally weighted‘ and ‘price weighted‘. In the case of equally weighted indices, a’ equal amount of money is assumed to be invested in each security in the index Changes in the index thus represent changes in the value of the portfolio. Pri weighted indices reflect the average price of the securities in the index and Chang: in the index represent the average price change of the securities in the index. The Dow—Jones and the Major Market Index of the American Stock Exchange (MMI) a. both of the price weighted form. The FT 30 is a geometric average equally weight index. Only the Major Market Index has a futures contract based upon it. Read more »

Make Options Easy on equity indices

The dramatic growth of equity index futures has been accompanied by the substantial growth of equity index options. These options come in three forms:

  1. Options on the spot index itself such as the contract traded in the London International Financial Futures and Options Exchange — like the futures, these options are settled in cash, rather than by delivery of the underlying securities. Sometimes both European and American options are traded on the same index.
  2. Options on the index futures are American options that call for delivery of an equity index futures contract at expiry.

Read more »

Inside of the foreign exchange market

The foreign exchange market is an interbank market, in that there is no designated market-place; instead transactions are conducted over the telecommunications system using telephones and computer screens. As a consequence, the foreign exchange (or FX) market is truly global, with all the major commercial banks around the world and the treasury departments of many companies participating. In addition, central banks enter the market in the execution of their monetary and exchange rate policies. There is also a system of brokers who act as intermediaries to supplement the direct contact between participants. As the trading day progresses, the centre of activity moves from one time zone to another, making it possible t trade internationally 24 hours a day.

The transactions in the FX market emanate from international trade, international investment, the hedging of exchange risks, the establishment of speculative positions or arbitraging between mispriced sections of what is a vast market. Read more »

Valuing American options on futures contracts

The Black model should not be used for valuing American options on currency futures because it may be optimal to exercise the options early in the same way as it may be optimal to exercise options on the spot currency early. The binomial or the Barone-Adesi and Whaley models may be used for valuing those options.

The early exercise potential of American options on futures is different to that of options on the spot. Futures prices do not exhibit the discrete jumps that accompany spot market assets when the underlying spot asset makes discrete distributions. However, as the carry basis of the future converges to zero at delivery, the futures price converges to the spot price in an orderly manner. Read more »

Pricing futures on interbank interest rates

As with all other forms of futures contract, the fair price of short-term interest rate futures should preclude any arbitrage possibilities between the futures market and the underlying cash market. In the case of bank deposit interest rate futures, there should be no arbitrage possibilities between the forward interest rate implied by the future and the forward interest rate available on the appropriate type of bank deposit. For example, a three-month eurodollar futures contract that has 135 days to maturity should not provide any arbitrage possibility with the 135-day forward rate on a three-month eurodollar deposit. Read more »

Forward interest rates and expectations

It was shown that it is possible to lock in a forward rate of interest. However, depositors will only lock in a forward deposit if the rate that results is at least as favourable as the rate that they expect to prevail at the future point in time. If the forward rate implied by the current rates was above investors’ expectations, theinvestors would increase their borrowing for 90 days, causing upward pressure on that rate, and increase their deposits for 180 days, causing downward pressure on that rate, thereby bringing the 90-day forward rate down to current expected levels.

Conversely, if the implied forward rate were below expectations, investors would borrow for the longer term, raising that rate, and deposit for the shorter term, lowering that rate, until the implied forward rate matched expectations. Read more »

Basket options

Basket options are not new, for equity index options are a form of basket option. However, basket options relating to currencies are only available (at the time of writing) from the OTC market. The one exception is the ECU option traded on the Philadelphia Stock Exchange.

Currency basket options, like equity index options, are options on portfolios of specified currencies. As such they are appropriate for managing the currency risk inherent in the cash flows generated in a variety of currencies. An example would be the monthly remittance of income from a variety of foreign currency bond holdings. Read more »

Embedded options and the fair price of a future

The fact that these delivery options are available only to the short seller of futures contracts means that collectively they provide that seller with a series of valuable put options over the underlying bonds or notes. It is therefore instructive to delve more deeply into the nature of these options and their influence on bond futures valuation.

The existence of these options depends upon the futures contract specifications. Examples of the options that can be identified are as follows.

  1. The short seller’s option to choose the bonds that will be delivered under the futures contract; this is the so-called ‘quality option‘.
  2. The short seller’s option to choose the day of delivery within the delivery month: one form of the so-called ‘timing options‘.

Read more »

Are interest rate options different to other options?

The valuation of interest rate options is currently the most contested area of option- pricing theory. The problem stems from the fact that although there is a reasonable consensus about the nature of the stochastic process of share prices, equity indices and currencies, the movements in interest rates and interest rate dependent instruments are not fully understood and full agreement on the underlying process has yet to be reached.

The stochastic process of interest rates, and therefore the prices of interest rate dependent claims, has proved to be very difficult to model for a number of reasons. Read more »

Immunizing bond portfolios using bond futures

Bonds are frequently purchased to fund future liabilities because of the relative certainty of the cash flows which are set contractually. However, the certainty as to the value of the terminal value of those future cash flows depends upon two factors:

the rate at which the future coupons can be reinvested remaining unchanged;

if the bond has a maturity longer than the desired holding period, the level of interest rates is the same at the beginning and end of the holding period. Read more »

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