Answer:
The loss of the financial institution is $413,000
Explanation:
Let's say that after 3 years the financial institution will receive:
0.5 * 10% of $10million
= 0.5 * 0.1 * 10000000
= $500,000
Then, they will pay 0.5 * 9% of $10M
= 0.5 * 0.09 * 10000000
= $450,000
Therefore, their immediate loss would be $500000 - $450000
= $50000.
Let's assume that forward rates are realized to value the rest of the swap.
The forward rates = 8% per annum.
Therefore, the remaining cash flows are assumed that floating payment is
0.5*0.08*10000000 =
$400,000
Received net payment would be:
500,000-400,000= $100,000. The total cost of default is therefore the cost of foregoing the following cash flows:
Year 3=$50,000
Year 3.5=$100,000
Year 4 = $100,000
Year 4.5= $100,000
Year 5 = $100,000
Discounting these cash flows to year 3 at 4% per six months, the cost of default would be $413,000
