Thursday, September 15, 2011

Autumns Internship II


What is LIBOR?
The London Interbank Offered Rate, or LIBOR, is the European version of the federalfunds rate in the United States and represents the interest rate at which London banks charge each other on funds borrowed. This is not to be confused with the BBA LIBOR rate, which is a filtered average of inter-bank loans maturing within 1 year. BBA LIBOR is published once per day by the British Bankers Association at around 11 AM London standard time. The BBA is advised by a group of senior banking experts from at least 8 contributor banks and uses their lending activity to derive the BBA LIBOR rate.


How is it used?
LIBOR represents a benchmark for short term borrowing worldwide and is used to settle interest rate contracts in many of the world's futures and options exchanges. BBA LIBOR is created in ten different currencies and is done so by polling a new set of relevant contributor banks for each currency. BBA currency LIBOR will then provide the borrower with an interest rate to borrow a specific currency in the London cash market. You may hear the term Eurodollars or Euroyen; this defines the interest rate at which you can borrow US dollars or Japanese Yen in the London market.
BBA LIBOR is also referenced in many instruments that have a variable rate structure; such as, adjustable rate mortgages, floating rate notes, interest rate swaps, syndicated loans, and much more.
How do you calculate Interest using LIBOR?

BBA LIBOR is not a compounded rate; rather, it is calculated on the basis of the actual funding term. The formula to calculate interest using LIBOR would be done as follows:
Principal Loan Amt X BBA LIBOR rate X (Loan Term/360)
This formula would apply to the US LIBOR ; however, the GBP LIBOR is based on an ACTUAL/365 scheme and therefore you would have to adjust that formula to divide by 365.

How Do Banks Set Equilibrium Forward Rates?


Equilibrium in forward contracts occurs when the forward exchange rate of the two currencies in the contract yield equal returns. Banks calculate their equilibrium forward rates by using the current spot rate, the interest rate of the foreign currency and the interest rate of their domestic currency. Banks base their equilibrium forward rate calculations on the economic theory of interest rate parity  

Interest Rate Parity Theory

o    The interest rate parity theory is the economic theory in which the interest rate difference between two currencies is equal to the difference between the forward and spot rates of each country's respective currency. When the interest rate parity theory is violated, it disrupts equilibrium and creates arbitrage opportunities for investors. An investor takes advantage of an arbitrage opportunity when he buys and sells the same or similar financial instrument at the same time but in different markets. The investor makes a profit from exploiting the price differences that occurred due to the interest rate parity violation.

Equilibrium Forward Rate Formula Definitions

o    The forward exchange equilibrium equals the spot rate multiplied by (1 plus the domestic interest rate) divided by (1 plus the foreign interest rate). The spot rate is the immediate exchange rate between two currencies. The interest rates used in equilibrium forward rate calculations are typically based on the London Interbank Offer Rate (LIBOR). The LIBOR rate is the interest rate banks offer other banks in London's wholesale money markets.

Equilibrium Forward Rate Formula

o    To illustrate the formula, say you want to make an investment in euros (EUR). Assume that the current spot rate for EUR to United States dollar (USD) is 1.859, written as euro/USD=1.859. The one-year LIBOR interest rate is 8 percent for euro and 6 percent for USD. The equilibrium forward rate formula for this example is as follows: Forward rate=1.859*[(1+.06)/(1+.08)]. Banks have to break the formula down to: Forward rate=1.859*(1.06/1.08). This breaks down further: Forward rate=1.859*.981. This then equals 1.824.

Discounts and Premiums

o    Using that example, to obtain equilibrium, the euro would trade at a discount to the USD. Selling at a forward discount equalizes the higher LIBOR interest of the EUR against the USD and helps to prevent arbitrage. If the situation was reversed and the LIBOR for the USD was higher than the EUR, the EUR would trade a forward premium to equalize the higher LIBOR interest rate of the USD against the EUR.
 Some more links

http://www.rbnz.govt.nz/statistics/exandint/b1/3401943.pdf
http://www.imf.org/external/pubs/ft/wp/2002/wp0228.pdf
http://articles.economictimes.indiatimes.com/2010-08-24/news/27574810_1_currency-futures-exchange-traded-currency-interest-rate
http://glossary.reuters.com/index.php?title=FX_Swap
http://thomsonreuters.com/content/financial/pdf/s_and_t/RTFXQuickStartGuidev2.0_2.pdf
http://thomsonreuterseikon.com/
http://thomsonreuters.com/products_services/financial/financial_products/a-z/trading_foreign_exchange/
http://www.rbi.org.in/scripts/WSSViewDetail.aspx?TYPE=Section&PARAM1=6
http://www.treasurer.ca.gov/cdiac/publications/math.pdf
http://math.nyu.edu/~alberts/spring07/Lecture1.pdf
http://www.mysmp.com/bonds/libor.html
http://math.nyu.edu/~alberts/spring07/Lecture1.pdf
http://www.ehow.com/info_8789113_do-set-equilibrium-forward-rates.html
http://www.fabiomercurio.it/booksample.pdf
http://www.oup.com/us/ppt/derivatives/DMCH10.ppt - very imp

Autumns Internship



There is a market convention that determines which is the base currency and which is the term currency. In most parts of the world, the order is: EUR – GBP – AUD – NZD – USD – others. Accordingly, a conversion from EUR to AUD, EUR is the base currency, AUD is the term currency and the exchange rate indicates how many Australian dollars would be paid or received for 1 Euro.
The relationship between spot and forward is as follows:
F = S \left( \frac{1+r_1}{1+r_2}\right)^T
where:
·        F = forward rate
·        S = spot rate
·        r1 = simple interest rate of the term currency
·        r2 = simple interest rate of the base currency
·        T = tenor (calculated according to the appropriate day count convention)
The forward points or swap points are quoted as the difference between forward and spot, F - S, and is expressed as the following:
F - S = S \left[ \left(\frac{1+r_1}{1+r_2}\right)^T -1 \right] \approx S \left( e^\left(\left(r_1 - r_2\right)T\right) - 1\right) \approx S \left(r_1 - r_2\right) T
where r1 and r2 are small. Thus, the absolute value of the swap points increases when the interest rate differential gets larger, and vice versa.
A foreign exchange swap is the simultaneous borrowing and lending of one currency for another with two different value dates.
What Does Forward Premium Mean?
When dealing with foreign exchange (FX), a situation where the spot futures exchange rate, with respect to the domestic currency, is trading at a higher spot exchange rate then it is currently. A forward premium is frequently measured as the difference between the current spot rate and the forward rate, but any expected future exchange rate will suffice.

Read more: http://www.investopedia.com/terms/f/forwardpremium.asp#ixzz1Y2muPmBL
Investopedia explains Forward Premium
It is a reasonable assumption to make that the future spot rate will be equal to the current futures rate. According to the forward expectation's theory of exchange rates, the current spot futures rate will be the future spot rate. This theory is routed in empirical studies and is a reasonable assumption to make in the long term.

Read more: http://www.investopedia.com/terms/f/forwardpremium.asp#ixzz1Y2mwqHrb
What is a forward premium in the foreign exchange market?
It's the price paid for hedging by buying dollars in the forward market. Forward transactions take place at a premium or discount to the spot rate. The outright forward transactions are over-the-counter transactions undertaken by dealers. In India, it is generally the banks that transact in forward markets.
The maturity date agreed upon by the parties generally varies from months to a year or two. But maturities beyond that tend to have wider bid-ask spreads, in other words, tend to be more expensive, so are rare. The forward rate could be in premium or discount, based on the interest rate differential in case of currencies which are fully convertible and in case of partially-convertible currencies, they are determined purely on the basis of demand and supply.
The maturity date agreed upon by the parties generally varies from months to a year or two. But maturities beyond that tend to have wider bid-ask spreads, in other words, tend to be more expensive, so are rare. The forward rate could be in premium or discount, based on the interest rate differential in case of currencies which are fully convertible and in case of partially-convertible currencies, they are determined purely on the basis of demand and supply.
For example, in India, the USD/INR forward rate for six months could be in premium or at a discount over the spot rate, based on how liquid the dollar is.

What determines forward premium?
Countries that have fully-convertible currencies, the forward premium is deduced from their interest rate differentials, respectively. The premium/discount is measured in points, which represent the interest rate differential of the countries to which the currencies belong, for the period of maturity.
These points are the quantum of foreign exchange that would neutralise the interest rate differential. Points are subtracted from the spot rate, when the interest rate of the base currency is higher, since the base currency should trade at a forward discount and points are added to the spot rate, when the interest rate of the base currency is lower, since the base currency is expected to trade at a forward premium.
This is, however, only applicable to non-rupee currencies, that are fully convertible.
What are currency futures?
Exchange-traded currency forward transactions are known as currency futures. Before April 2007, only banks were allowed to trade in currency forwards market through over-the-counter deals.
But it was not a structured market, in the sense that it was not traded on an RBI-recognised exchange platform. But in 2007, RBI and Sebi allowed trading of currency futures on the National Stock Exchange.
The objective of opening up trading in currency futures on the exchanges was to deepen the futures market by allowing the small retail investors to take a view and hedge their foreign exchange risks. The regulatory authorities in India are on their way to allow trading in currency options on exchanges as well, though it is already available as a product.

Reuters Trading for Foreign Exchange
Reuters Trading for Foreign Exchange (RTFX) offers a single point of access to global FX liquidity.
Available on Reuters 3000 Xtra and Reuters Dealing 3000, RTFX provides access to multiple market makers with a single login. Together with the real-time news and prices on these Thomson Reuters platforms, RTFX’s trading capability means you can move seamlessly from price discovery to execution.
RTFX is based on Reuters Electronic Trading technology, used by more than 100 leading FX banks
With Reuters Trading for Foreign Exchange, you can:
·         Access deep liquidity – ensuring tight spreads and a competitive market
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·         Choose from the most influential market makers – a single sign-on gives you access to multiple institutions
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Why choose Reuters Trading for Foreign Exchange?
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References :
http://www.rbnz.govt.nz/statistics/exandint/b1/3401943.pdf
http://www.imf.org/external/pubs/ft/wp/2002/wp0228.pdf
http://articles.economictimes.indiatimes.com/2010-08-24/news/27574810_1_currency-futures-exchange-traded-currency-interest-rate
http://glossary.reuters.com/index.php?title=FX_Swap
http://thomsonreuters.com/content/financial/pdf/s_and_t/RTFXQuickStartGuidev2.0_2.pdf
http://thomsonreuterseikon.com/
http://thomsonreuters.com/products_services/financial/financial_products/a-z/trading_foreign_exchange/

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