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FMOT mock - annual lease payment question

TTahir11y ago
A company has agreed to lease a machine for a period of 8 years with equal annual payments payable at the start of each year The NPV of the agreement at a rate of 10% is $52000 what is the annual lease payment ( to the nearst $)? I'm totally confuse about this question how we can solve this anybody help me plz
John MoffatJohn MoffatTutor11y ago#1
The PV of the repayments must equal 52,000. If the payment is X per year, then since the first payment is immediate then PV of this payment is X. The present value of the remaining 7 payments is X times the annuity factor for 7 years at 10%. If you add the two together then you should be able to calculate X without difficulty (since the total must be equal to 52,000)
TTahir11y ago#2
Thank you Sir for helping but I'm still not able to find the value of first payment help me Pzl.....
John MoffatJohn MoffatTutor11y ago#3
The annuity factor for 7 years at 10% is 4.868 (from the tables). So if the payment is X per year, the PV of the first payment is X and the PV of the other 7 payments is 4.868X So the total PV is X + 4.868X = 5.868X This must be equal to 52,000. So now you should be able to calculate X :-)
TTahir11y ago#4
Thank You sir now my confusion is clear Thanks Alot.
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