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Blue Sunday Bank has a portfolio of loans and securities, as well as deposits and money market borrowings, which are expected to produce the following

Blue Sunday Bank has a portfolio of loans and securities, as well as deposits and money market borrowings,

which are expected to produce the following cash inflows and outflows for the bank in the coming 5 years.

Now assume that the bank has total assets of $30 billion and total liabilities of $25 billion, and all asset and

liability cash flows are proportional to the cash flows given in the charts below. How much would the value of the bank

change if interest rates rise from 4.5% to 5.0%? What about if interest rates change from 4.5% to 4.2%?

Assume that the total assets and total liabilities have the same duration profile as the cash flows given in this problem.

Show your calculations in a spreadsheet.

Duration of Total Cash Inflows

Expected Cash Flow Cash Flow Timeline Current Year Present Value (4.5%) Present Value Weight Duration
1900000 1 Year 1 0.956937799 1818181.818 0.63258399 0.63258399
750000 2 Years 2 0.915729951 686797.4634 0.238951394 0.477902788
350000 3 Years 3 0.876296604 306703.8114 0.106708756 0.320126269
65000 4 Years 4 0.838561344 54506.48733 0.018963962 0.075855849
10000 5 Years 5 0.802451047 8024.510465 0.002791897 0.013959486
2874214.091 1.520428382
Duration is 1.520428 Years
Duration of Total Cash Outflows
Expected Cash Flow Cash Flow Timeline Current Year Present Value (4.5%) Present Value Weight Duration
-1400000 1 Year 1 0.956937799 -1339712.919 0.531606644 0.531606644
-830000 2 Years 2 0.915729951 -760055.8595 0.30159502 0.60319004
-400000 3 Years 3 0.876296604 -350518.6416 0.139088036 0.417264108
-45000 4 Years 4 0.838561344 -37735.26046 0.014973592 0.05989437
-40000 5 Years 5 0.802451047 -32098.04186 0.012736708 0.06368354
-2520120.722 1.675638701
Duration is 1.675639 Years

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