答案和详解如下: Q8. Nikki Ali and Donald Ankard borrowed $15,000 to help finance their wedding and reception. The annual payment loan carries a term of seven years and an 11% interest rate. Respectively, the amount of the first payment that is interest and the amount of the second payment that is principal are approximately: A) $1,468; $1,702. B) $1,650; $1,468. C) $1,650; $1,702. Correct answer is C) Step 1: Calculate the annual payment. Using a financial calculator (remember to clear your registers): PV = 15,000; FV = 0; I/Y = 11; N = 7; PMT = $3,183 Step 2: Calculate the portion of the first payment that is interest. Interest1 = Principal × Interest rate = (15,000 × 0.11) = 1,650 Step 3: Calculate the portion of the second payment that is principal. Principal1 = Payment − Interest1 = 3,183 − 1,650 = 1,533 (interest calculation is from Step 2) Interest2 = Principal remaining × Interest rate = [(15,000 − 1.533) × 0.11] = 1,481 Principal2 = Payment − Interest1 = 3,183 − 1,481 = 1,702 Q9. How much should an investor have in a retirement account on his 65th birthday if he wishes to withdraw $40,000 on that birthday and each of the following 14 birthdays, assuming his retirement account is expected to earn 14.5%? A) $274,422. B) $234,422. C) $272,977. Correct answer is A) This is an annuity due so set your calculator to the BGN mode. N = 15; I/Y = 14.5; PMT = –40,000; FV = 0; CPT → PV = 274,422.50. Switch back to END mode. Q10. Sarah Parker is buying a new $25,000 car. Her trade-in is worth $5,000 so she needs to borrow $20,000. The loan will be paid in 48 monthly installments and the annual interest rate on the loan is 7.5%. If the first payment is due at the end of the first month, what is Sarah’s monthly car payment? A) $483.58. B) $416.67. C) $480.57. Correct answer is A) N = 48; I/Y = 7.5 / 12 = 0.625; PV = 20,000; FV = 0; CPT → PMT = 483.58. |