‘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 $52,000. What are the annual lease payments (to the nearest $)?’
Can you remind me how to work this out? Try as I might I cannot get the correct answer. I’m clearly missing something fundamental.
There is one payment immediately (time 0 – the start of the first year) followed by 7 more payments from 1 to 7.
If the payment is X each time, then the present value of X at time 0 is X, and the present value of X per year for years 1 to 7 is X times the 7 year annuity factor.