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Payback Period and NPV of Alternative Automobile Purchase Wendy Li decided to purchase a new Honda...

Payback Period and NPV of Alternative Automobile Purchase Wendy Li decided to purchase a new Honda Civic. Being concerned about environmental issues she is leaning toward a Honda Civic Hybrid rather than the completely gasoline-powered LX model. Nevertheless, she wants to determine if there is an economic justification for purchasing the Hybrid, which costs $3,700 more than the LX. Based on a mix of city and highway driving she predicts that the average gas mileage of each car is 40 MPG for the Hybrid and 30 MPG for the LX. Wendy also anticipates she will drive an average of 12,000 miles per year and that gasoline will cost an average of $3.10 per gallon over the next four years. She also plans to replace whichever car she purchases at the end of four years when the resale values of the Hybrid and the LX are predicted to be $12,000 and $8,500 respectively.

Required

a. Determine the payback period of the incremental investment associated with purchasing the Hybrid.

b. Determine the net present value of the incremental investment associated with purchasing the Hybrid at a ten percent time value of money. Use a negative sign with your answer, if appropriate. Round answer to the nearest whole number.

c. Determine the cost of gasoline required for a payback period of three years on the incremental investment. Round answer to two decimal places

Solutions

Expert Solution

Ans:

Incremental Cost of Hybrid $ 3,700
Average Miles per Year 12,000
LX Model Hybrid Model
Average miles per Years 12,000 12,000
Mileage 30 40
Gasoline Required 400 300
Price of Gasoline 3.1 3.1
Gasoline Expenses in a Years 1240 930
Savings in Gasoline 310.00
a)Payback Period=Initial Investment/Saving In Expenses
3700.00 ÷ -310.00
-11.94 Years
b) Net Present Value
Incremental Salvage value=12000-8500 = 3500
Years Cash Flow Cumulative DF@10% CF*DF
-3700 -3700 1 -3700
1 310 -3390 0.91 282.1
2 310 -3080 0.83 257.3
3 310 -2770 0.75 232.5
4 3810 1040 0.68 2590.8
NPV -337.3
c) Gasoline Price for 3 Years payback period
Payback period=Initial Investment /Saving in Expenses
Saving in Expenses=initial Investment /Payback period
3700 ÷ 3
1233.33
Price of Gasoline=Saving in Expenses/Saving in Gasoline in Gallon
= 1233.333333 ÷ (400-300)
= 1233.333333 ÷ 100
= 12.33

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