Question

Calculate the risk-adjusted asset base for a bank with: a. Cash of $20 million, 0% b. Gen. Obligation municipal security of $100 million, 20% c. Singe family home mortgages of $500 million, 50% d. Commercial loans of $300 million, 100%. 4a. If the bank has no off-balance sheet activity what is the bank=s minimum required level of Tier1 and Tier 2 capital? 4b. If the bank has Tier 1 capital of $25 million and Tier 2 capital of $15 million does the bank comply with its capital requirement. 4c. Also, explain how the addition of off-balance sheet activities might impact the capital requirement of the bank

Answer 1

This is what i found  Answer 1
Risk-Adjusted Asset Base
The calculation of the risk-adjusted asset base for a bank is as below-
Risk-adjusted asset = (Cash × 0%) + (municipal security × 20%) + (home mortgages × 50%) + (Commercial loans × 100%)
= (20 × 0%) + (100 × 20%) + (500 × 50%) + (300$ × 100%)
= 0 + 20 + 250 + 300
= $570 million
The outcome shows that the risk-adjusted or weighted asset based for the bank will be $570 million.
Tier1 and Tier 2 Capital:
If the bank has no off-balance sheet activity then minimum required level of Tier 1 and Tier 2 capital will be-
Tier 1 capital = Risk-weighted asset × 4%
= $570 × 4%
= $22.8 million
Tier 2 capital = Maximum of 1.25% of risk-weighted asset
= $570 × 1.25%
= $7.125 million
Total capital = $22.8 + $7.125 => $29.925 million
The outcomes indicate that the minimum required level of Tier1 and Tier 2 capital is $22.8 million and $7.125 million for the bank.
Bank Comply with Capital Requirements:
If the bank has Tier 1 capital of $25 million and Tier 2 capital of $15 million then it will comply with its capital requirements of $29.925 million. It is because in this situation, total capital of bank is $37 million that is higher than the above calculated capital of $29.925 million.
Impact of off-Balance Sheet Activities on Capital Requirements
The addition of off-balance sheet activities might increase the capital requirement of the bank. It is because an off-balance sheet items is a financial contract that can create credit loss for the company due to credit risk. So, in case of adding off-balance sheet activities, a bank will require more capital to cover credit loss. Along with this, it can also increase the minimum ratio of capital to risk-weighted assets from 8% and in that situation; the bank will need more capital (Carmichael & Graham, 2012).
Answer 2
Probability of Repayment and Risk Premium
A).
If the rate on a one-year treasury bill is 6% and in case of loan default, no payments are expected on financial securities then the probability of repayment and the risk premium on 1 year AA-rated loan yielding 9 percent will be-
Probability of Repayment:
The following formula can be useful to determine probability of repayment.
P = (1 + I) / (1 + k)
Where,
I = 6%
k = 9%
Then, ...you have $2.19 left :D