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The management of Richmond State Bank has asked you to examine the interest rate risk of the bank. Management is concerned that interest rates will

The management of Richmond State Bank has asked you to examine the interest rate risk of the bank. Management is concerned that interest rates will increase by the end of the year and wants to see what would happen to the relative profitability of the bank if the increase actually occurs. The Balance Sheet at December 31, 2018 is attached to this project and presented in the accompanying Excel file. Also provided are the durations for the assets and liabilities. Other information you may need for your analysis is:

1) 10% of Fixed-rate mortgages mature within the next year.

2) 15% of Checkable deposits and 22% of Savings deposits are rate sensitive.

3) Reserves at the Fed DO earn interest and are considered a rate sensitive asset.

4) Current market rates are 4%.

Richmond State Bank

Balance Sheet at December 31, 2018

Amount

Duration

($ millions)

(years)

Assets

Cash and Cash items

$8.00

0.00

Reserves at Fed

3.00

0.00

Securities:

Less than 1 year

41.00

0.40

1 - 2 years

3.00

1.60

Greater than 2 years

8.00

4.16

Residential mortgages:

Variable-rate

30.00

0.40

Fixed-rate (30 years)

15.00

10.30

Commercial loans:

Less than 1 year

47.00

0.90

1 - 2 years

36.00

1.80

Greater than 2 years

25.00

15.00

Building and Equipment

10.00

0.00

Other Assets

1.00

0.00

Total Assets

$227.00

Amount

Duration

($ millions)

(years)

Liabilities

Checkable deposits

$9.00

1.00

Money market demand accounts

8.00

0.80

Savings deposits

20.00

1.00

Certificates of deposit:

Variable-rate

52.00

0.90

Less than 1 year

21.00

0.30

1 - 2 years

17.00

1.80

Greater than 2 years

4.00

8.00

Fed funds borrowed

15.00

0.01

Borrowings:

Less than 1 year

40.00

0.40

1 - 2 years

9.00

1.20

Greater than 2 years

26.00

12.00

Other liabilities

1.00

0.00

Total Liabilities

$222.00

Equity Capital

$5.00

Total Liabilities and Equity

$227.00

Part A (2.5 points) To prepare your presentation for the bank officers, you anticipate and answer the following questions (Show your work and carry all numbers out 3 decimal places.)

A) What is the total for interest-rate-sensitive assets for the bank?

B) What is the total for interest-rate-sensitive liabilities for the bank?

C)What is the ISGAP of the bank?

D) If interest rates increase by 2.5%, what will be the estimated change in net interest income for the bank?

E) What is the weighted average duration of total assets for the bank?

F) What is the weighted average duration of total liabilities for the bank?

G) What is the duration gap of capital for the bank?

H) If interest rates increase by 2.5%, what will be the expected change in the market value of capital for the bank?

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