11) The Prudential Regulatory Authority (PRA) wants to make sure that the Bank of South West Northamptonshire Ltd has enough capital to operate safely. The PRA collects data on the Profits and Losses for the Bank for the past 20 months: Month Pnl. Month PnL 01/21 27 -15 02/21 03/21 87 04/20 90 04/21 -15 05/20 06/20 47 05/21 06/21 29 81 66 07/20 49 07/21 90 08/21 08/20 09/20 37 1 43 80 09/21 10/21 11/21 10/20 7 86 32 -82 11/20 -12 12/20 1la) What is the average monthly PnL?

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Chapter1: Financial Statements And Business Decisions
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11) The Prudential Regulatory Authority (PRA) wants to make sure that the Bank of South West
Northamptonshire Ltd has enough capital to operate safely. The PRA collects data on the Profits and
Losses for the Bank for the past 20 months:
PnL.
ll
Month
PnL
Month
01/21
27
02/21
-15
03/21
87
04/20
-90
04/21
-15
05/20
47
05/21
29
06/20
07/20
08/20
66
06/21
81
49
07/21
-90
-43
37
08/21
09/20
10/20
09/21
10/21
80
7
-82
11/20
-86
11/21
-12
12/20
-32
1la) What is the average monthly PnL?
11b) How much equity (E) must the bank hold to withstand a loss with probability P%? Compute E
for various levels of P (P-50%, 80%, 90%, 95%).
11c) Combine your answers to questions 1la and 11b to compute the Return on Equity (ROE) for
various levels of P (P=50%, 80%, 90%, 95%). Use this result to discuss the trade-off between
profitability and risk-aversion in bank management.
Transcribed Image Text:11) The Prudential Regulatory Authority (PRA) wants to make sure that the Bank of South West Northamptonshire Ltd has enough capital to operate safely. The PRA collects data on the Profits and Losses for the Bank for the past 20 months: PnL. ll Month PnL Month 01/21 27 02/21 -15 03/21 87 04/20 -90 04/21 -15 05/20 47 05/21 29 06/20 07/20 08/20 66 06/21 81 49 07/21 -90 -43 37 08/21 09/20 10/20 09/21 10/21 80 7 -82 11/20 -86 11/21 -12 12/20 -32 1la) What is the average monthly PnL? 11b) How much equity (E) must the bank hold to withstand a loss with probability P%? Compute E for various levels of P (P-50%, 80%, 90%, 95%). 11c) Combine your answers to questions 1la and 11b to compute the Return on Equity (ROE) for various levels of P (P=50%, 80%, 90%, 95%). Use this result to discuss the trade-off between profitability and risk-aversion in bank management.
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