A local sanitation authority needs to purchase a new garbage truck. The authority has two truck models under consideration. The purchase price for Model A is $90, 000. The maintenance and operation costs are $10,000/year. Model B is less expensive to acquire ($60,000 at purchase), but costs more on operation and maintenance. Details of the costs are shown in the table below. Interest rate is 4%. Please help this authority to decide which truck they should purchase. Year Model A Truck Model B Truck Purchase Price (beginning of year) $90,000 $60,000 Annual Operation and Maintenance  (end of year) 1 $10,000 $20,000 2 $10,000 $20,000 3 $10,000 $20,000 4 $10,000 $20,000 Calculate the present values of total costs for Model A Truck and Model B Truck, respectively. (Interest rate: 4%) (2’) Present value of Model A Truck total costs: Present value of Model B Truck total costs: Which truck model should this authority choose? Why? (1’)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A local sanitation authority needs to purchase a new garbage truck. The authority has two truck models under consideration. The purchase price for Model A is $90, 000. The maintenance and operation costs are $10,000/year. Model B is less expensive to acquire ($60,000 at purchase), but costs more on operation and maintenance. Details of the costs are shown in the table below. Interest rate is 4%. Please help this authority to decide which truck they should purchase.

Year

Model A Truck

Model B Truck

Purchase Price (beginning of year)

$90,000

$60,000

Annual Operation and Maintenance

 (end of year) 1

$10,000

$20,000

2

$10,000

$20,000

3

$10,000

$20,000

4

$10,000

$20,000

  1. Calculate the present values of total costs for Model A Truck and Model B Truck, respectively. (Interest rate: 4%) (2’)
  2. Present value of Model A Truck total costs:

  3. Present value of Model B Truck total costs:

  4. Which truck model should this authority choose? Why? (1’)
  5.  
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