Interest, Yield, and Monthly Payments

1. What is the value after 5 years of $1200 invested at 5% APR compounded
   1. annually
      
      
      
   2. daily
      
      
      
2. What is the yield on 4.9% APR compounded daily (include two places after the decimal point in the percent)?
   
   
   
   
   
3. What is the monthly payment on a 3 year loan of $20,000 at 4% APR repaid in equal monthly payments?
   
   
   
   
   
   
4. What is the total cost of a 3 year loan of $20,000 at 4% APR repaid in equal monthly payments?
   
   
   
   
   
   
5. What is the monthly payment on a $250,000 property if you make a 20% down payment, and take out a 30-year mortgage at 5.5% APR?
   
   
   
   
   
   
6. Assuming that you make a 20% down payment and take out a 30-year 5% APR mortgage, what is the most expensive property you can buy if your annual income is $43,000, and the bank requires that the monthly payment not exceed 25% of your monthly income?
   
   
   
   
   
   
7. Arrange a loan of $40,000 as follows. The loan accrues interest at 4% APR compounded monthly. No payments are made for 4 years. The amount due at the end of 4 years is then paid off over 10 years, in equal monthly payments, starting the next month.
   1. What is the total amount due at the end of the first four years?
      
      
      
   2. What is the monthly payment during the last 10 years?
      
      
      
   3. What is the total cost of the loan?