Question

In: Finance

Consider two local banks. Bank A has 88 loans​ outstanding, each for​ $1.0 million, that it...

Consider two local banks. Bank A has 88 loans​ outstanding, each for​ $1.0 million, that it expects will be repaid today. Each loan has a 7 % probability of​ default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $ 88 million​ outstanding, which it also expects will be repaid today. It also has a 7 % probability of not being repaid. Calculate the​ following:

a. The expected overall payoff of each bank.

b. The standard deviation of the overall payoff of each bank.

a. The expected overall payoff of each bank.

b. The standard deviation of the overall payoff of each bank.

Solutions

Expert Solution

Given,

Bank A:

No. of loans = 88

Loan amount = $1.0 million or $100000

Bank B:

No. of loans = 1

Loan amount = $88 million or $8800000

Default rate for both banks (d) = 7% or 0.07

Solution :-


Related Solutions

Consider two local banks. Bank A has 76 loans​ outstanding, each for​ $1.0 million, that it...
Consider two local banks. Bank A has 76 loans​ outstanding, each for​ $1.0 million, that it expects will be repaid today. Each loan has a 6 % probability of​ default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $ 76 million​ outstanding, which it also expects will be repaid today. It also has a 6 % probability of not being repaid. Calculate...
Consider two local banks. Bank A has 100 loans​ outstanding, each for​ $1.0 million, that it...
Consider two local banks. Bank A has 100 loans​ outstanding, each for​ $1.0 million, that it expects will be repaid today. Each loan has a 4 % probability of​ default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $ 100 million​ outstanding, which it also expects will be repaid today. It also has a 4 % probability of not being repaid. Calculate...
Consider two local banks. Bank A has 95 loans outstanding, each for $1.0 million, that it expects will be repaid today.
Consider two local banks. Bank A has 95 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a 6% probability of default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $95 million outstanding, which it also expects will be repaid today. It also has a 6% probability of not being repaid.Calculate the following:a. The expected...
Consider a bank that has the following assets and liabilities: Loans of $100 million with a...
Consider a bank that has the following assets and liabilities: Loans of $100 million with a realized rate of 5% Security holdings of $50 million earning 10% interest income Reserves of $10 million Savings accounts of $100 million interest of 2.5% Checking deposits of $30 million which pay no interest Determine the profits for this bank. (Hint: The bank earns income, or revenues, not only from its loans but also from any securities it holds!)
Consider a bank that has the following assets and liabilities: Loans of $100 million with a...
Consider a bank that has the following assets and liabilities: Loans of $100 million with a realized rate of 5% Security holdings of $50 million earning 10% interest income Reserves of $10 million Savings accounts of $100 million interest of 2.5% Checking deposits of $30 million which pay no interest Set up the balance sheet for this bank. (Hint: Remember that assets + liabilities = equity or net worth!) Determine the profits for this bank. (Hint: The bank earns income,...
Consider a bank that has the following assets and liabilities: Loans of $100 million with a...
Consider a bank that has the following assets and liabilities: Loans of $100 million with a realized rate of 5% Security holdings of $50 million earning 10% interest income Reserves of $10 million Savings accounts of $100 million interest of 2.5% Checking deposits of $30 million which pay no interest Carefully explain what the impact would be on a bank’s ROA and ROE from increased use by a bank of off-balance sheet (OBS) activities.
Your firm currently has $ 88$88 million in debt outstanding with a 9 %9% interest rate....
Your firm currently has $ 88$88 million in debt outstanding with a 9 %9% interest rate. The terms of the loan require the firm to repay $ 22$22 million of the balance each year. Suppose that the marginal corporate tax rate is 30 %30%​, and that the interest tax shields have the same risk as the loan. What is the present value of the interest tax shields from this​ debt?
•Consider the following three banks each providing a $:¥ quote : Bank A Bank B Bank...
•Consider the following three banks each providing a $:¥ quote : Bank A Bank B Bank C 122.25-35 122.40-45 122.25-45. Does an arbitrage opportunity exist?
Based on past​ experience, a bank believes that 88​% of the people who receive loans will...
Based on past​ experience, a bank believes that 88​% of the people who receive loans will not make payments on time. The bank has recently approved 300 loans. Answer the following questions. ​a) What are the mean and standard deviation of the proportion of clients in this group who may not make timely​ payments? mu left parenthesis ModifyingAbove p with caret right parenthesisμpequals= SD left parenthesis ModifyingAbove p with caret right parenthesisSDpequals= ​(Round to three decimal places as​ needed.) ​b)...
1. Consider a bank that would like to offer loans in a vliiage. The bank has...
1. Consider a bank that would like to offer loans in a vliiage. The bank has access to money at a national interest rate of r= 5% Assume the fraction of credit-worthy people in the village is p, and the fraction of noncredit worthy people is (1-p0 The bank cannot distinguish between these two types. Suppose each member of the village would like a loan of $1. a) What interest rate, i must the bank charge to break even (leave...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT