Group 33 AcF 305 Coursework
代写金融作业 EUR liabilities’ HC value moves with changes in the HC/EUR exchange rate. When the EUR is not available to hedge the exposure…
EUR liabilities’ HC value moves with changes in the HC/EUR exchange rate. When the EUR is not available to hedge the exposure in the futures market, we need a cross-hedge with another currency. We choose beta to minimize the volatility of the hedged cash-flow position. Beta denotes the futures contracts that must be bought to hedge a foreign currency outflow. 代写金融作业
We need to regress the spot rate against the futures rate in foreign currency. We use historical data to do this. 代写金融作业
Initially, with a direct hedge, we have a contract that is available in EUR and expires on 15 April 2022, with size 500,000. Beta is then equal to 1 given that markets are efficient in pricing securities, the spot rate would be perfectly correlated with the futures rate. A 6 month futures contract at 15 Oct 2021 is 0.87 HC/EUR, using the covered interest parity equation.
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To hedge a EUR 500,000 outflow, we would buy 500,000 EUR Future for 432,650 HC; this would involve posting an initial margin and a maintenance margin as security, which would fluctuate with changes in the futures price, to keep the end result (cumulative cash flows) the same as the contract we entered into. 代写金融作业
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Assuming a direct EUR hedge is unavailable, we calculate the covariance between the 3-month FC1 futures, and the HC/EUR spot price. We then calculate the variance on the futures, to estimate beta, or contracts that would need to be bought to hedge against a EUR 500,000 outflow. We estimate beta as 0.0243, and the Futures rate at 15/10/2021 as 1.165 HC/FC1.
Futures | COV(Fn,n+3,S) | VAR(Fn,n+3) | Beta 代写金融作业 |
FC1 | 0.000269 | 0.011064 | 0.024338 |
FC2 | -0.001018 | 0.107566 | -0.009465 |
When attempting to hedge 500,000 EUR against a forward contract on FC1, we would choose 0.02434 FC1 futures contracts, with price 71225 HC
When we’re limited to a 12-Month HC/EUR Futures hedge, when the payables is due in 6-Months, we calculate beta as 0.7770 contracts in a 0.9118 HC/EUR Future at 15/10/2021, meaning 455900 HC will be exchanged for 500,000 EUR in total. 代写金融作业