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 continue…

Ways of expressing forward rates

In addition to the direct or indirect quotation, forward exchange rates can be expressed in one of three ways. First, the forward rate can be quoted as an outright rate — i.e. the actual forward rate of exchange.

Secondly, it can be quoted as forward exchange margins or points (also called swap rates). These latter are either discounts or premiums depending on the interest differentials between the home and foreign currency. If the foreign currency interest rate is higher than the home currency interest rate, the foreign currency will be at a forward discount to its spot rate. If, on the other hand, the foreign interest rate is below the home currency interest rate, the foreign currency will be at a forward premium to its spot value. The magnitude of the discount or premium is dependent upon the size of the differential in home and foreign interest rates and the time to maturity of the forward contract. 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 »

Strategies to reduce option cost

A US investor has purchased Sterling Treasury bills and wishes to hedge against the falling value of Sterling. Buying the out-of-the-money put (strike price $1.8500) will protect against a fall below that figure. The sale of the out-of-the-money call at $1.8900 will mean that the investor will benefit from any rise in Sterling to $1.8900 but not above that figure. The cost of buying the put is off-set by the revenue from writing the call, resulting in this instance in a zero cost strategy.

The reader will note that if Sterling rises above $1.8900, the written call position will make a loss. This is off-set by the rising value in dollar terms of the underlying Sterling investment. Conversely, if Sterling falls below $1.8850, the puts make a profit which off-sets the currency losses on the investment in the Sterling Treasury bills. 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 »

Using currency options to manage risk

This section explains two of the many uses of options that rely upon the ability of the option buyer to abandon the option at no extra cost. The first is the purchase of options to insure against a fall in the value of a currency. The second is the hedging of the currency risk in a foreign currency tender.

Purchasing options as a form of insurance

If a US investment manager has strong expectations of a rise in the value of Sterling but wishes to insure against being totally wrong, slightly out-of-the money puts will provide the required insurance. Read more »

Average rate options

Average rate currency options are based upon the average exchange rate of the underlying currency as distinct from the exchange rate on a single date — the expiry date.

The advantage of an average rate option is that the volatility of a moving average of a variable is less than the volatility of individual observations of that same variable. With daily observations, and with the volatility levels seen in the currency markets, the volatility of the moving average is in the order of 60% of that of the raw observations. Consequently, the price of an average rate option with a given exercise price will be less than an otherwise identical standard European currency option. 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 »

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