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Chapter 7A, Problem 3EA

Calculate payments using time value of money concepts. (LO 8). For each of the following, calculate the payment each loan would require. Assume the payments are made at the end of the period in each case. Interest rates are annual rates.

  1. 1. Principal = $30,000; interest rate = 5%; term = 5 years; payments = annual
  2. 2. Principal = $30,000; interest rate = 8%; term = 5 years; payments = annual
  3. 3. Principal = $30,000; interest rate = 8%; term = 10 years; payments = annual
  4. 4. Principal = $30,000; interest rate = 8%; term = 10 years; payments = semi-annual
  5. 5. Principal = $30,000; interest rate = 12%; term = 2 years; payments = monthly
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1. Let's assume that a loan of $100,000 with an annual interest rate of 6% over 30 years pays monthly payments of $500. a. Calculate the accumulation rate  b. Calculate the payment rate . c. Answer : How will the balance of the principal be at the end of the loan in relation to the original amount of the loan? Less, equal or greater? Provide calculations.
In the problem, find i (the rate per period) and n (the number of periods) for each loan at the given annual rate. Monthly payments of $245.65 are made for 4 years to repay a loan at 7.2% compounded monthly.
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