In: Accounting
(10 pts) Barley Company owns a plot of land on which buried toxic wastes
have been discovered. Since it will require several years and a considerable sum of money before the property is fully detoxified and capable of generating revenues, Barley wishes to sell the land now. It has located two potential buyers: Buyer A, who is willing to pay $350,000 for the land two years from now, and Buyer B, who is willing to make 12 annual payments of $50,000 each, with the first payment to be made 4 years from today. Assuming that the appropriate rate of interest is 9%:
What is the present value of Buyer A’s offer? $ __________
What is the present value of Buyer B’s offer? $ __________
Present Value of A's offer = $350,000 * PVF(9%,2 years) = $350,000 * (1/(1.09)^2) = $350,000*0.84168 = $294,588
Present Value of B's offer = $276,470 (Refer Note below)
(Assumed annual payment is made at year end)
Note :
Calculation of Present Value of B's offer :
Year | Annual Payment | PVF@9% | Present Value |
1 | 0 | 0.917431193 | - |
2 | 0 | 0.841679993 | - |
3 | 0 | 0.77218348 | - |
4 | 50000 | 0.708425211 | 35,421 |
5 | 50000 | 0.649931386 | 32,497 |
6 | 50000 | 0.596267327 | 29,813 |
7 | 50000 | 0.547034245 | 27,352 |
8 | 50000 | 0.50186628 | 25,093 |
9 | 50000 | 0.46042778 | 23,021 |
10 | 50000 | 0.422410807 | 21,121 |
11 | 50000 | 0.38753285 | 19,377 |
12 | 50000 | 0.355534725 | 17,777 |
13 | 50000 | 0.326178647 | 16,309 |
14 | 50000 | 0.299246465 | 14,962 |
15 | 50000 | 0.274538041 | 13,727 |
Present Value | 2,76,470 |