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VRY-SMPL Bank and Dragon Slayer – Banking Operations and Government Online Tutoring

Question 1:

Cumulative Re-Pricing for 6-months and 3-years:

  • 6 Months Cumulative Re-Pricing = Rate Sensitive Assets – Rate Sensitivity Liabilities = $1240 – $355 = $885 mn
                                                                        RSA RLA
Item $ Item $
6 Months T Bills (4.25%) 50 Savings Account (2.0%) 205
10 Year Commercial Loans (12.25% re-priced 6 months) 700 3 Months CD (2.50%) 150
15 Year Commercial Loan at 10% interest (re-priced monthly) 230
20 Year Mortgage at 8.5% Interest (LVR 80%, no mortgage insurance) 260
Total 1240 Total 355

              

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  • 3 Years Cumulative Re-Pricing = Rate Sensitive Assets – Rate Sensitivity Liabilities = $1430 – $1475 = ($45) mn
RSA RLA
Item $ Item $
6 Months T Bills (4.25%) 50 Savings Account (2.0%) 205
3 Years T Bills (4.85%) 100 3 Months CD (2.50%) 150
3 Years 3.55% Semi-Annual Coupon T-notes (5.75%) 90 9 Months CD (3.85%) 350
10 Year Commercial Loans (12.25% re-priced 6 months) 700 1 Year Term Deposit 4.0%) 540
15 Year Commercial Loan at 10% interest (re-priced monthly) 230 3 Year Term Deposit (4.30%) 230
20 Year Motgage at 8.5% Interest (LVR 80%, no mortgage insurance) 260
Total 1430 Total 1475

Question 2:

Before Change:

Note that decrease by 30 basis points means -0.003 or -0.3% and increase by 50 basis points means +0.005 or 0.5%. First we will calculate the interest income of Dragon Slayer without increase/decrease in interest for 12 months’ time.

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RSA RSA
Item $ Rate $ Item $ Rate $
6 Months T Bills (4.25%) 50 0.085 4.25 Savings Account (2.0%) 205 0.02 4.1
10 Year Commercial Loans (12.25% re-priced 6 months) 700 0.1225 85.75 3 Months CD (2.50%) 150 0.025 3.75
15 Year Commercial Loan at 10% interest (re-priced monthly) 230 0.1 23 9 Months CD (3.85%) 350 0.0385 13.475
20 Year Motgage at 8.5% Interest (LVR 80%, no mortgage insurance) 260 0.085 22.1
Total Interest Income 135.1 Total Interest Expense 21.325

Hence, interest income before change for 1 year was = $135.1 – $21.325 = $113.775

After Change:

RSA RSA
Item $ Rate $ $ Rate $
6 Months T Bills (4.25%) 50 0.082 4.1 Savings Account (2.0%) 205 0.025 5.125
10 Year Commercial Loans (12.25% re-priced 6 months) 700 0.1195 83.65 3 Months CD (2.50%) 150 0.03 4.5
15 Year Commercial Loan at 10% interest (re-priced monthly) 230 0.097 22.31 9 Months CD (3.85%) 350 0.0435 15.225
20 Year Motgage at 8.5% Interest (LVR 80%, no mortgage insurance) 260 0.082 21.32
Total Interest Income 131.38 Total Interest Expense 24.85

Hence, interest income before change for 1 year was = $131.38 – $24.85 = $106.53

The interest income has decreased from $113.775 to $106.53 due to change in the interests of the rate sensitive assets by 0.3% and rate sensitive liabilities by 0.5%.

Question 3:

Dragon Slayer Bank has to meet the certain capital resources under Basel III requirement (Taskinsoy, 2018). It is required to maintain the common equity tier 1 ratio of 4.5% and minimum leverage ratio (calculated by dividing Tier 1 capital with bank’s total consolidated assets). Under Basel III, the banks are also required to hold leverage ratio in excess of 3%. In order to have the cushion against losses, the banks have to maintain the following (Hlatshwayo & Petersen, 2013);

  • Positive working capital
  • Declining debts
  • Equity more than the debts
  • High current ratio
  • Positive net cash flows
  • Maintained level of reserves with Fed
  • Contingency accounts for covering losses

In order to stay stable, Dragon Slayer is expected to have adequate liquid capital so that it can cover the unexpected losses and reduce its debt obligations. For finding the liquidity coverage ratio, the High Quality Liquidity Assets must be divided by the Expected Net Cash Outflows that could occur in next 30 days. For Dragon Slayer, it is given as;

RSA
HQLA $ Weights Assigned $
Cash 55 100% 55
6 Months T Bills (4.25%) 50 100% 50
3 Year T Bills 100 100% 100
3 Year T-Notes 90 100% 90
5 Year T–Notes 100 100% 295
5 Year Bonds Thailand 150 85% 127.5
20 year Bonds Vietnam 150 85% 127.5
Total HQLA 845

Expected Net Cash Outflow during Next 30 Days
Demand Deposits 100
Savings 205
Total 305

All of the weights are taken from Source: (International Monetary Fund, 2016).

So, the liquidity capital is = $845/$305 = 2.770 or 277% as per (Hlatshwayo & Petersen, 2013)

Hence, the Dragon Slayer Bank has enough liquidity capital as cushion

VRY-SMPL BANK

Question 1:

Duration Gap of VRY-SMPL BANK

ASSETS

Asset 1: Duration of 6 Year Semi Annual 3.5% P.A. Coupon With Par Value of $150
Periods Scheduled Debt Obligations Cash Flows (B) Year Weighted Value of Debt Obligation Cash Flows (A*B) DF based on Current Market Yield Curve of 3% p.a D = 1/[(1+(3%/2))] ^ A PV of Weighted Debt Obligations
1 2.625 2.625 0.99 2.586
2 2.625 5.25 0.97 5.096
3 2.625 7.875 0.96 7.531
4 2.625 10.5 0.94 9.893
5 2.625 13.125 0.93 12.183
6 2.625 15.75 0.91 14.404
7 2.625 18.375 0.90 16.556
8 2.625 21 0.89 18.642
9 2.625 23.625 0.87 20.662
10 2.625 26.25 0.86 22.619
11 2.625 28.875 0.85 24.513
12 152.625 1831.5 0.84 1531.844
Total (E) 1686.529
Duration (E/150) 11.244 years

Asset 2: Duration of 2 Year Annual 6.45% P.A. Coupon Bond With Par Value of $200
Periods Scheduled Debt Obligations Cash Flows (B) Year Weighted Value of Debt Obligation Cash Flows (A*B) DF based on Current Market Yield Curve of 3% p.a D = 1/[1+3%] ^ A PV of Weighted Debt Obligations
1 12.9 12.9 0.97 12.524
2 212.9 425.8 0.94 401.357
Total (E) 413.882
Duration (E/200) 2.069 years

Asset 3: Duration of 15 Year Treasury Bond Semi Annual 7.5% P.A. Coupon With Par Value of $350
Periods Scheduled Debt Obligations Cash Flows (B) Year Weighted Value of Debt Obligation Cash Flows (A*B) DF based on Current Market Yield Curve of 3% p.a D = 1/[1+(3%/2)] ^ A PV of Weighted Debt Obligations
1 13.125 13.125 0.99 12.931
2 13.125 26.25 0.97 25.480
3 13.125 39.375 0.96 37.655
4 13.125 52.5 0.94 49.465
5 13.125 65.625 0.93 60.917
6 13.125 78.75 0.91 72.020
7 13.125 91.875 0.90 82.782
8 13.125 105 0.89 93.210
9 13.125 118.125 0.87 103.311
10 13.125 131.25 0.86 113.094
11 13.125 144.375 0.85 122.565
12 13.125 157.5 0.84 131.731
13 13.125 170.625 0.82 140.600
14 13.125 183.75 0.81 149.177
15 13.125 196.875 0.80 157.471
16 13.125 210 0.79 165.487
17 13.125 223.125 0.78 173.231
18 13.125 236.25 0.76 180.710
19 13.125 249.375 0.75 187.931
20 13.125 262.5 0.74 194.898
21 13.125 275.625 0.73 201.619
22 13.125 288.75 0.72 208.099
23 13.125 301.875 0.71 214.342
24 13.125 315 0.70 220.356
25 13.125 328.125 0.69 226.146
26 13.125 341.25 0.68 231.716
27 13.125 354.375 0.67 237.072
28 13.125 367.5 0.66 242.219
29 13.125 380.625 0.65 247.162
30 363.125 10893.75 0.64 6969.412
Total (E) 11252.808
Duration (E/350) 32.151 years

Hence, the weighted average duration of Assets on basis of above calculations for VRY-SMPL Bank is as follows;

Asset Type Duration
Duration of 6 Year Semi Annual 3.5% P.A. Coupon With Par Value of $150 11.244
Duration of 2 Year Annual 6.45% P.A. Coupon Bond With Par Value of $200 2.069
Duration of 15 Year Treasury Bond Semi Annual 7.5% P.A. Coupon With Par Value of $350 32.151
Total 45.464 years

The market value of assets is calculated as:

Asset Type Market Value
Duration of 6 Year Semi Annual 3.5% P.A. Coupon With Par Value of $150 150
Duration of 2 Year Annual 6.45% P.A. Coupon Bond With Par Value of $200 192
Duration of 15 Year Treasury Bond Semi Annual 7.5% P.A. Coupon With Par Value of $350 338
Total 680

LIABILITIES

Liability 1: Duration of 10 year Semi Annual Coupon (6.3% p.a.) Bond with par of 300
Periods Scheduled Debt Obligations Cash Flows (B) Year Weighted Value of Debt Obligation Cash Flows (A*B) DF based on Current Market Yield Curve of 3% p.a D = 1/[1+3%] ^ A PV of Weighted Debt Obligations
1 9.45 9.45 0.99 9.310
2 9.45 18.9 0.97 18.346
3 9.45 28.35 0.96 27.112
4 9.45 37.8 0.94 35.615
5 9.45 47.25 0.93 43.860
6 9.45 56.7 0.91 51.855
7 9.45 66.15 0.90 59.603
8 9.45 75.6 0.89 67.111
9 9.45 85.05 0.87 74.384
10 9.45 94.5 0.86 81.428
11 9.45 103.95 0.85 88.247
12 9.45 113.4 0.84 94.846
13 9.45 122.85 0.82 101.232
14 9.45 132.3 0.81 107.408
15 9.45 141.75 0.80 113.379
16 9.45 151.2 0.79 119.150
17 9.45 160.65 0.78 124.726
18 9.45 170.1 0.76 130.111
19 9.45 179.55 0.75 135.310
20 309.45 6189 0.74 4595.149
Total (E) 6078.181
Years (E/300) 20.261

Duration of 12 year Annual 5.50% pa Coupon Bond par of 200
Periods Scheduled Debt Obligations Cash Flows (B) Year Weighted Value of Debt Obligation Cash Flows (A*B) DF based on Current Market Yield Curve of 3% p.a D = 1/[1+3%] ^ A PV of Weighted Debt Obligations
1 11 11 0.97 10.680
2 11 22 0.94 20.737
3 11 33 0.92 30.200
4 11 44 0.89 39.093
5 11 55 0.86 47.443
6 11 66 0.84 55.274
7 11 77 0.81 62.608
8 11 88 0.79 69.468
9 11 99 0.77 75.875
10 11 110 0.74 81.850
11 11 121 0.72 87.413
12 211 2532 0.70 1775.894
Total (E) 2356.536
Years (E/200) 11.783 years

Hence, the weighted average duration of Liabilities on basis of above calculations for VRY-SMPL Bank is as follows;

Asset Type Duration
Duration of 12 Year Annual Coupon (5.50% pa) at 200 par value 11.783
Duration of 10 year Semi Annual Coupon (6.3% p.a.) Bond 20.261
Total 32.043 years

The market values of liabilities are

Asset Type MV
Duration of 12 Year Annual Coupon (5.50% pa) at 200 par value 200
Duration of 10 year Semi Annual Coupon (6.3% p.a.) Bond 300
Total $500

The duration gap is calculated as follows;

DGAP = Duration of Assets – [(MV of Liabilities/ MV of Assets) x Duration of Liabilities]

DGAP = 45.464 – [(500/680) x 32.043]

DGAP = 45.464 – 23.561 = 21.903 years

Question 2:

As we can see that the MV of assets is currently higher at $680 than the MV of liabilities at 500. If the market yield will go up by 2.5% per annum, then the revised market yield will be 5.5%. The net worth of the bank will then be calculated as;

% Change        = – Duration Gap x (Change in i/1+i)

                        = -21.903 x (0.025/1+0.03)

                        = -21.903 x 0.0243

                        = -0.5316 or -53.16%

Hence, with assets of $680, the fall of $361.51 in the net worth of bank is expected.

Question 3:

The maturity gap of bank is calculated by taking the difference between the weighted average maturities of the assets and the weighted average maturities of the liabilities. It is given as;

Maturity of Assets = [200 (2) + 150 (6) + 350 (15)]/700 = 6550/700 = 9.357

Maturity of Liabilities = [300 (10) + 200 (12)]/500 = 5400/500 = 10.8

Maturity Gap = 9.357 – 10.8 = -1.425

References

Hlatshwayo, L. N. P. & Petersen, M. A., 2013. Basel III Liquidity Risk Measures and Bank Failure. Discrete Dynamics in Nature and Society , pp. 1-19.

International Monetary Fund, 2016. Seminar for Senior Bank Supervisors from Emerging Economies. [Online] Available at: http://pubdocs.worldbank.org/en/335731477065135563/5-Implementation-of-Basel-III-Liquidity-Requirements-in-Emerging-Markets.pdf
[Accessed 27 October 2020].

Taskinsoy, J., 2018. Effects of Basel III Higher Capital and Liquidity Requirements on Banking Sectors across the Main South East Asian Nations. SSRN Electronic Journal, 9(4), p. 214.

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