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where is the maturity of the longest transaction in the portfolio, is the future value of one unit of the base currency invested today at the prevailing interest rate for maturity , is the loss given default, is the time of default, () is the exposure at time , and (,) is the risk neutral probability of counterparty default between times and .
For example, gold mines are exposed to the price of gold, airlines to the price of jet fuel, borrowers to interest rates, and importers and exporters to exchange rate risks. Many financial institutions and corporate businesses (entities) use derivative financial instruments to hedge their exposure to different risks (for example interest rate ...
Analytic Example: Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
If the ratio is between 0.8 and 1.25 (4/5 - 5/4) under all scenarios - the "80:125 rule" - then hedge accounting may be applied. Regression analysis . A similar approach, but here regressing the expected changes in these values at relevant future time periods - usually financial reporting dates - so as to demonstrate the strength of the hedge ...
An example of this type of distortion occurred in late 1994 and early 1995 when Alan Greenspan raised the US Fed Funds rate from 3.00% in May 1994 to 5.25% in February 1995. Prior to these hikes, Orange County had initiated highly leveraged bets on short maturity interest rate derivative products in the hopes that interest rates would decline.
Some examples of basis risks are: Treasury bill futures being hedged by two year bonds, there lies the risk of not fluctuating as desired. A foreign currency exchange rate (FX) hedge using a non-deliverable forward contract (NDF): the NDF fixing might vary substantially from the actual available spot rate on the market on fixing date.
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Similarly, an interest rate floor is a derivative contract in which the buyer receives payments at the end of each period in which the interest rate is below the agreed strike price. Caps and floors can be used to hedge against interest rate fluctuations. For example, a borrower who is paying the LIBOR rate on a loan can protect himself against ...