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7/26/2019 slides used in week 3 tutorials.pdf
1/5
7/06/20
FIN925
Week 3 tutorial
1
Case Study
Q1
2005 2004 2003 2002 2001
Loans 217,516 189,391 160,347 147,074 136,059
NII 5,966 5,410 5,026 4,710 4,474
%NIM 2.74% 2.86% 3.13% 3.20% 3.29%
2
Case Study
Q1
2005 2004 2003 2002 2001
Avg earning assets 243,948 214,187 188,270 170,634 160,607
NII 5,966 5,410 5,026 4,710 4,474
%NIM 2.45% 2.53% 2.67% 2.76% 2.79%
3
Case Study
Q2 2005 2004Interest income 16,194 13,287
Interest expense 10,228 7,877
Loans 217,516 189,391
Deposits 168,029 163,177
income/loans 7.44% 7.02%
expense/deposits 6.09% 4.83%spread 1.36% 2.19%
4
7/26/2019 slides used in week 3 tutorials.pdf
2/5
7/06/20
Case Study
Q2
2005 2004
Interest income 16,194 13,287
Interest expense 10,228 7,877
Average earning assets 243,948 214,187
Average int. bearing liabilities 225,592 197,532
income/earning assets 6.64% 6.20%
expense/i.b. liabilities 4.53% 3.99%
spread 2.10% 2.22%
5
Case Study
Q3
2005 2004 2003 2002 2001
Operating income 11,354 10,491 9,399 9,068 8,824
Net profit 3,991 2,572 2,012 2,655 2,398
Profit margin 35.15% 24.52% 21.41% 29.28% 27.18%
6
Q4
Case Study
2005 2004 2003 2002 2001
Operating income 11,354 10,491 9,399 9,068 8,824
Total Assets 329,035 305,995 265,110 249,648 230,411
Asset use 3.45% 3.43% 3.55% 3.63% 3.83%
7
Case Study
Q5
2005 2004 2003 2002 2001
Total Assets 329,035 305,995 265,110 249,648 230,411
Equity 24,271 22,405 20,024 19,030 18,393
Multiplier 13.56 13.66 13.24 13.12 12.53
8
7/26/2019 slides used in week 3 tutorials.pdf
3/5
7/06/20
Case Study
Q6
2005 2004
High 38.52 33.54
Low 28.79 27.00
Weighted averages shares 1273 1256
High MC 49,036 42,126
Low MC 36,650 33,912
Equity 24,271 22,405
High P/B 2.0 1.9
Low P/B 1.5 1.5
9
Extra Question #1
a) Net Profit After Tax (NPAT)
Net profit before tax ($ millions)
= interest revenue 82
- interest expense (64)
+ non-interest revenue 12
- non-interest expense (9)
Total: 21
NPAT = 21*(1-0.3) 14.710
Extra Question #1
b) Return on Equity (ROE)
ROE = ROA * Equity multiplier
Work out c) ROA first
ROA = NPAT / Total Assets
= 14.7 / 850 = 1.73% ROE = 1.73% * 15 = 25.94%
11
Extra Question #1
d) Profit Margin
Operating revenue ($ millions)
= Interest revenue + non-interest revenue
= 82 + 12 = 94
Profit Margin = NPAT / operating revenue= 14.7 / 94 = 15.64%
12
7/26/2019 slides used in week 3 tutorials.pdf
4/5
7/06/20
Extra Question #1
e) Asset Use
= Operating revenue / Total Assets
= 94 / 850 = 11.06%
f) Net Interest Income (NII) ($ millions)
= interest revenueinterest expense
= 8264 = 18
13
Extra Question #1
g) % Net Interest Margin (NIM)
= NII / Earning Assets
= 18 / 600 = 3%
14
Extra Question #1
h) Interest Rate Spread
= interest revenue / earnings assets
- interest expense / interest bearing liabilities
= 82/60064/540
= 13.67% - 11.85% = 1.81%(difference due to rounding)
15
Extra Question #2
a) Capital required to support each loan
11% * risk weighted assets
Risk weighted Assets ($ millions):
Credit cards: $100 * 1.0 = $100
Mortgages: $260 * 0.5 = $130
Capital to support credit cards: $100*11% =$11
Capital to support mortgages: $130*11% =$14.3
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7/26/2019 slides used in week 3 tutorials.pdf
5/5
7/06/20
Extra Question #2
b) RAROC
= (loan revenueloan costs) / capital
Credit Cards:
Loan revenue = $13m
Loan costs = (3% + 2.2%)*100m + 2.8m = $8m
RAROC = (13-8)/11 = 45.45% (before tax)
45.45%*(1-0.3) = 31.82% (after tax)
17
Extra Question #2
b) RAROC
= (loan revenueloan costs) / capital
Residential Mortgages:
Loan revenue = $19m
Loan costs = (4% + 0.8%)*260m + 4m = $16.48m
RAROC = (19-16.48)/14.3 = 17.62% (before tax)
17.62%*(1-0.3) = 12.34% (after tax)
18
Extra Question #3
RAROC > ROE
Let the loan rate be x
RAROC = (x-0.09) *(1-0.3) /0.12
(x-0.09)*(1-0.3)/0.12 > 0.15
x-0.09 > 0.0257 x> 0.1157
19