Suppose that as a loan officer for a bank you just completed a £1 million loan to a small business. This is a senior unsecured loan, with one-year maturity and carries a 10% p.a. interest rate. You rate the borrower internally as B-, which translates into a one-year probability of default (PD) estimate of 10%. Loss given default (LGD) for the loan is estimated as 30%. Determine the expected cash flow from the loan at maturity. O a. £1,034,000 O b. £1,067,000 O c. £1,123,000
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- Suppose you take out a home mortgage for $160,000 at a monthly interest rate of 0.6%. If you make payments of $1200/month, after how many months will the loan balance be zero? Estimate the answer by graphing the sequence of loan balances and then obtain an exact answer. Graph the sequence of loan balances. Choose the correct graph below. O A. 160,000 its 125 months loan balance 150 Q Q The loan balance will be zero after 269 months. (Round up to the nearest month.) O B. loan balance 160,000 125 150 months Q O loan balance 160,000 260 290 months Q O D. 160,000 it loan balance 260 ¹290 months Ⓒ QYour firm is considering a one-year loan for $522,000. The fees are 2% of the loan amount and the interest rate is 4.3%. First, compute the net amount of funds from the loan. Based on this net amount, what is the true interest rate of the loan? Group of answer choicesAn investor has accumulated $4,450 and is looking for the best rate of return that can be earned over the next year. A bank savings account will pay 9%. A one-year bank certificate of deposit will pay 11%, but the minimum investment is $7,450. Required: a. Calculate the amount of return the investor would earn if the $4,450 were invested for one year at 9%. b. Calculate the net amount of return the investor would earn if $3,000 were borrowed at a cost of 19%, and then $7,450 were invested for one year at 11%. c. Calculate the net rate of return on the investment of $4,450 if the investor accepts the strategy of part b. Note: Round your answer to 2 decimal places. a. Amount of return b. Net amount of return c. Net rate of return %
- Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.Consider a $100,000 loan balance (EAD) Suppose a Borrower is in class 5 with a Probability of Default (PD) of 0.04 % and a loan with loan characteristics (LGD) of 50%. Given the credit risk scoring matrix presented in class, what is the expected loss rate and amount for this loan [dollar amount]?Suppose you are buying your first condo for $190,000, and you will make a $10,000 down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at 3.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be? You are not required to show calculations. However to receive credit you must provide the inputs used (N, PMT, FV, I/Y, PV) to solve. If you utilize a template, you can copy and paste the section used in the submission. $808.28 $853.18 $527.78
- Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.Consider a loan repayment plan described by the following initial value problem, where the amount borrowed is B(0) = $40,000, the monthly payments are $600, and B(t) is the unpaid balance of the loan. Use the initial value problem to answer parts a through c. B' (+) =0.03B - 600, B(0) = 40,000 a) Find the solution of the initial value problem and explain why B is an increasing solution. B(t) = Why is B an increasing function? O A. The function is increasing because it is an exponential function with a positive coefficient and a negative exponent. O B. The function is increasing because it is an exponential function with a positive coefficient and a positive exponent. O C. The function is increasing because it is an exponential function with a positive exponent. O D. The function is increasing because it is an exponential function with a positive coefficient. b) What is the most that you can borrow under the terms of this loan without going further into debt each month? The…Your firm is considering a one-year loan for $522,000. The fees are 2% of the loan amount and the interest rate is 4.3%. First, compute the net amount of funds from the loan. Based on this net amount, what is the true interest rate of the loan?
- Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $x million is 1-x. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan. b) Compute the 1-year 99% VaR and ES for the portfolio of both loans. c) Does the VaR and the ES satisfy the subadditivity property in this case?In your own words, explain how compounding works. According to the rule of 72, if you deposit $100 in an account that pays 9% compound interest, how long will it take that initial deposit to reach $200? Use the matrix given below. For each type of investment, record this information: • Is the risk high, moderate, or low? • Is the return high, moderate, or low? • How does this type of investment work? Explain in one or two sentences.Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.