Question

In: Accounting

(10 pts) Barley Company owns a plot of land on which buried toxic wastes have been...

(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? $ __________

Solutions

Expert Solution

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

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