Question

On June 1, 2000 Rita Cushing purchases 20 hectares of farm land from her neighbour and...

On June 1, 2000 Rita Cushing purchases 20 hectares of farm land from her neighbour and agrees to pay the purchase in five equal payments of $12,000 each due June 1, the first payment to be payable June 1, 2004, with interest compounded annually at the rate of 15%.

What is the purchase price of the land?

Homework Answers

Answer #1
Annual payment $ 12,000.00
No of payments 5
Interest rate 15%
Purchase date 1-Jun-00
1st Payment 1-Jun-04
It means the payments are made at T4, T5, T6, T7, T8.
Year Payment PV factor,1/(1+15%)^t Payment * PV factor
4 $       12,000 0.571753246 $         6,861.04
5 $       12,000 0.497176735 $         5,966.12
6 $       12,000 0.432327596 $         5,187.93
7 $       12,000 0.37593704 $         4,511.24
8 $       12,000 0.326901774 $         3,922.82
Total fo PV * cashflows $       26,449.16
So this total of $ 26,449.16 is the purchase price.
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