Business & finance finance assignment

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PBF-Assessment 3 [Due date: 3 Dec 2023]
[Topic 6- Interest Rate Risk Management]

Question 1 – Macaulay Duration of Bond Portfolio + Modified Duration [8 marks]
(a) An investor decides to construct a bond portfolio made up of

$10,000 in the 4-year 5% coupon bond and $30,000 in a 3-year zero coupon bond.
Assume the par value of bond is $1000 and the market interest rate = 4%.
What is the Macaulay duration of this bond portfolio? (4 marks)

(b) Estimate, using modified duration, the change in the price of the 4-year 5% coupon bond if the
market interest rate decreases from 4% to 3%. (4 marks)

Question 2- Income Gap + Overall Duration Gap [17 marks]
(a) Consider the following balance sheet of Banco Credit:

Assumptions
– Fixed rate mortgages repaid in the coming year = 25%
– Savings deposits that become rate sensitive in the coming year = 20%
– All commercial loans are rate sensitive
– All money market deposits are rate sensitive

Using income gap analysis, calculate the change in net interest income over the coming
year if interest rates increase by 1% from 4% to 5% (4 marks)

(b) What is the duration gap for Banco Credit? (4 marks)

(c) What is the estimated change in the value of equity (in $s) for Banco Credit if interest rates
increase by 1% from 4% to 5%? (4 marks)

(d) Explain why a bank with a positive duration gap is estimated to see a fall in the value of its
equity when interest rates increase. (5 marks)

Remark:
 Submit to: Canvas Assignment [doc or pdf file]
 Filename: Class — Name — Index Number [eg. L41 Robert Lee #100]