Question

Murray Company borrows $430,000 cash from a bank and in return signs an installment note for five annual payments of equal am


1 TABLE B.3 (1 + i Present Value of an Annuity of 1 Rate Periods I% 2% 3% 4% 6% 7% 8% 9 % 10% 12% 15% 0.9901 1.9704 2.9410 3.


II Murray Company borrows $430,000 cash from a bank and in return signs an installment note for five annual payments of equal
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Answer #1
Market rate Initial cash proceeds PV Factor Amount of annual payment
(a) 4.00% $      430,000 / 4.4518 = $             96,590.14
(b) 6.00% $      430,000 / 4.2124 = $ 102,079.57
(c) 8.00% $      430,000 / 3.9927 = $ 107,696.55
  • The present value of annual payments should equal the initial proceeds from the loan.
  • $430,000 is the present value of annual payments, i.e. present value of annuity.
  • Present value of annuity = Annuity × PVAF
  • i.e. Annuity = Present value of annuity ÷ PVAF
  • PVAF = Present value of annuity factor.
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