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COMPETZ - Makes You Compete

11. CALCULATION OF CAPITAL FOR MARKET RISK 

​Calculation of Capital for Market Risk:

1. International Bank has -
Paid up capital of Rs.100 cr,
Free Reserves of Rs.300 cr,
Provisions and Contingencies Reserves of Rs.300 cr,
Perpetual Non-Cumulative Preference Shares of Rs.400 cr,
& Subordinated Debt of Rs.300 cr.
The risks for credit and Operational Risk are Rs.10000 cr and for Market Risk Rs.4000 cr.
Based on the above information, Answer the following questions :

1. What is the amount of Tier-1 capital?
a) 900 cr b) 800 cr  c) 750 cr  d) 610 cr
Ans - b

2. Calculate the amount of Tier-2 capital?
a) 900 cr  b) 800 cr c) 750 cr d) 610 cr
Ans - d

3. Calculate the amount of capital fund.
a) 800 cr  b) 1200 cr  c) 1410 cr  d) 1620 cr
Ans - c

4. What is the capital adequacy ratio of the bank?
a) 9%   b) 9.65%   c) 10.05%   d) 10.07%
Ans - d

5. What is amount of minimum capital to support credit and operational risk?
a) 900 cr b) 950 cr  c) 1000 cr  d) 1250 cr
Ans - a

6. What is the amount of minimum Tier 1 and Tier 2 to support the credit and operational risk?
a) 900 cr, 900 cr      b) 600 cr, 900 cr
c) 450 cr, 450 cr       d) 300 cr, 450 cr

Ans - c

7. What is the amount of Tier-1 capital fund, to support market risk?
a) 450 cr   b) 350 cr  c) 250 cr   d) 185 cr
Ans - b

8. What is the amount of Tier-2 capital fund, to support market risk?
a) 450 cr   b) 350 cr   c) 250 cr   d) 160 cr
Ans - d
................................................................................................................................................

01.What is the amount of Tier-1 capital?
Solution :
=Paid up capital + free reserves + Perpetual Non Cumulative Preferences Shares ( PNCP)
= 100+300+400
= 800


02. Calculate the amount of Tier-2 capital?
Solution :
Tier 2 capital
= Subordinate debt + 45% of Revaluation Reserve               (Discount of 55%) + 1.25 % of RWA ( for Contingency
  Reserve & Provision Whichever is Lower)
= 300 + 45% of 300 + 1.25% of 14000
= 300 + 135 + 175
= 610


3. Calculate the amount of capital fund.
Solution :
Total capital :
= Tier 1 + Tier 2
= 800+610
= 1410


4. What is the Capital Adequacy Ratio of the Bank?
Solution :
Capital Adequacy Ratio
= (Tier 1 + Tier 2) / RWA
= 800+610/14000
= 1410 / 14000
= 0.10071
= 10.07 %


5. What is amount of minimum capital to support credit and operational risk?
Solution :
Minimum capital required for Credit & Operational Risk together is :
= 9% of 10000
= 10000X9/100
= 900

................................................................................................................................................
1. A bank’s G sec portfolio has 100 day VaR at 95% confidence level of 4% based on yield. What is the worst case scenario over 25 days?
a. Increase in yield by 0.4%
b. Decrease in yield by 0.4%
c. Increase in yield by 2%
d. Decrease in yield by 2%

Ans - c
Solution :
100 day VaR is 4 %. So one day Var is,
4 = one day VaR × square root of 100
4 = one day VaR × 10
One day VaR = 0.4 %
25 day VaR
= 0.4 × Square root of 25
= 0.4 × 5
= 2 %
In worst case scenario yield will always increase. 
Because this will decrease the market price or value. 

Answer is increase in yield by 2 %
.

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