Suppose your firm is seeking a three-year, amortizing $400,000 loan with annual payments, and your bank is offering you the chois between a loan of $415,000 with a compensating balance of $15,000 and a loan of $400,000 without a compensating balance. The interest rate on the $400,000 loan is 9.5 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Interest rate 8.73 %
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- Suppose your firm is seeking a four year, amortizing $260,000 loan with annual payments and your bank is offering you the choice between a $268,000 loan with a $8,000 compensating balance and a $260,000 loan without a compensating balance. The interest rate on the $260,000 loan is 9.8 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Interest rate %Suppose your firm is seeking a seven - year, amortizing $770,000 loan with annual payments, and your bank is offering you the choice between a loan of $817,000 with a compensating balance of $47,000 and a loan of $770,000 without a compensating balance. The interest rate on the $770,000 loan is 8.0 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it?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? Group of answer choices
- In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $42,000 and the interest rate is 8.50%, the borrower “pays” 0.0850 × $42,000 = $3,570 immediately, thereby receiving net funds of $38,430 and repaying $42,000 in a year. a. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 18.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)Your firm is considering two one-year loan options for a $506,000 loan. The first carries fees of 2.4% of the loan amount and charges interest of 3.6% of the loan amount. The other carries fees of 1.8% of the loan amount and charges interest of 4.7% of the loan amount. a. What is the net amount of funds from each loan? b. Based on the net amount of funds, what is the true interest rate of each loan?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?
- You are negotiating to make a 7-year loan of $37,500 to Breck Inc. To repay you, Breck will pay $2,500 at the end of Year 1, $5,000 at the end of Year 2, and $7,500 at the end of Year 3, plus a fixed but currently unspecified cash flow, X, at the end of each year from Year 4 through Year 7. Breck is essentially riskless, so you are confident the payments will be made. You regard 8% as an appropriate rate of return on a low risk but illiquid 7-year loan. What cash flow must the investment provide at the end of each of the final 4 years, that is, what is X? a. $9,012.95 b. $8,348.84 O c. $9,202.70 d. $7,684.73 e. $9,487.32Consider 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?You are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = Amount of Loanx Interest Ratex Term of Loan where FsFs is the finance charge for the loan, and the term of the loan is in . You’re borrowing $10,000 for two years with a stated annual interest rate of 6%.
- 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.A borrower can obtain an 80% loan with an 8% interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 90% loan at an 8.5% rate with the same loan term. The borrower plans to own the property for the entire loan term. solve with finanical calucltor What is the incremental cost of borrowing the additional funds? How would your answer change if 2 points were charged on the 90% loan? Would your answer to part (b) change if the borrower planned to own the property for only 5 years?Suppose that you take out a 40-year $175000 mortgage with an APR of 6%. You make payments for 3 years and then you consider refinancing the original loan. The new loan would have a term of 15 years, have and APR of 5.7% and be in the amount of the unpaid balance on the original loan. The administrative cost of taking out the second loan would be $1700. What are the monthly payments on the original loan? What would the monthly payment of the second loan be? What would the total amount you would pay if you continued with the original 40-year loan without refinancing? What would the total amount would you pay with the refinancing?