Please answer the following: ( Show all working how you derive at your answer):

1. A property is valued at $800,000 and is used to secure a loan. The bank's policy is to lend at aloan-to-value ratio (LVR) of not more than 85%. If the current loan outstanding is $646,000 and a recession occurs reducing the value of the property to $600,000 what is the minimum value of the additional collateral security that the borrower will need to provide to remain compliant with the bank's policy on LVR.
2. An apartment building is generating income of $250,000. Maintenance expenses total 40% of this income and vacancy loss is 12% of income. The market supports a capitalization rate of 12.75%. How much is this property worth using the income capitalizationapproach.
3. You recently received a letter from Commercial National Bank of Jamaica Ltd that offers you a new credit card that has no annual fee.It states that the annual percentage rate (APR) is 16 (16%) on outstanding balances. The company will bill you monthly. What is the effective annual interest rate?
4. You want to borrow $1,000 from a friend for one year, and you propose to pay her $1,180.00 at the endof the year.She agrees to lend you the $1,000, but she wants you to pay her $15.00 of interest at the end of each of the first 11 months plus $1,015.00 at the end of the 12^th month.How much higher is the effective annual rate under your friend's proposal than under your proposal?
5. Junior has bought a four-wheel-drive Suzuki Vitara SUV for his confectionary business. The price ofthe vehicle was $4,500,000, of which he made a $500,000 down payment and took out an amortized loan for the balance. His local bank made the loan at 12% interest for five years. He is to pay back the principal and interest in five equal annual installments beginning one year from now. Determine the amount of Junior's annual payment.
6. The Brown family recently bought a house.The house has a 30-year, $16,500,000 mortgage with monthly payments and a nominal interest rate of 8 percent.What is the total dollar amount of interest the family will pay during the first three years of their mortgage?(Assume that all payments are made at the end of the month.)
7. The Brown family recently bought a house.The house has a 30-year, $16,500,000 mortgage with payments made the end of each month and a nominal interest rate of 8 per cent.What is the balance on the loan after the first three years of payments have been made?
8. You wish to purchase a refrigerator at a cost of $175,000. You are able to make a down payment of $53,000. The loan is for 3 years amortised at an interest rate of 7.75%. How much is your monthly payment?
9. Robert recently borrowed $2,000,000 to purchase a new car.The car loan is given at an add-on rate of interest of 12% over 4 years. Fixed monthly payments are to be made, and the loan balance will be zero after the final monthly payment is made. What is the total amount that will be repaid to the bank over the life of the loan?
10. Consider the following fixed-rate, level-payment mortgage: maturity = 360 months; amount borrowed= $220,000; annual mortgage rate = 12%.The scheduled principal repayment for month 10 is?
11. You have borrowed $80,000 to buy a gaming machine. You plan to make fixed end-of -month payments of $811.41 over a 15-year period with interest compounding monthly. Calculate the total amount of interest in dollars that you will pay over the life of the loan. Round to the nearest dollar.
12. A friend of yours borrows $19,500 from the bank at 8% annually to be repaid in 10 equal annual end-of-year installments. The interest paid on this loan in year three is: