Modified duration of a bond measures:

For a bank a 1-year VaR of USD 10 million at 95% confidence level means that:

Bank Sigma takes a long position in the oil futures market that requires a 2% margin, i.e., the bank has to
deposit 2% of the value of the contract with the broker. The futures contracts were priced at $50 per barrel
(bbl) at inception, and rose by $5 to $55. The VaR on the position is estimated to be $10. What is the return on
this transaction on a risk adjusted basis?

Mega Bank holds a $250 million mortgage loan portfolio, which reprices every 5 years at LIBOR + 10%. The
bank also has $150 million in deposits that reprices every month at LIBOR + 3%. What is the amount of Mega
Bank's rate sensitive liabilities?

In early March, an energy trader takes a long position in natural gas futures for delivery in June, and hedges
this exposure by taking a position in futures for July delivery. These trades were executed on the expectation
that over time, the relative prices of the June and July contracts will come into alignment, the movement in
these two contracts will largely mirror each other, and as a result of this, the net exposure is minimized and the
position is protected against absolute price movements. However, if the two relative prices do not come into
alignment with each other due to the scarcity of any of the two traded contracts in the futures market, the
trader is likely to become exposed to the