Full size Four Door Pickup TrucksSayed JunejaMatt GaleaTobias Ukoha

Deloach PAP Precal

OverviewWe compared 4 different full sized four

door pickup trucks:

Ford-F150

Chevrolet Silverado

Toyota Tundra

Dodge Ram

The Best Choice- The best car with the lowest depreciation rate is the Dodge

RAM. Ford - y=33095.92395(.8699944004)^xDodge Ram- y=31882.89954(.9139593399)^xChevrolet Silverado y=31381.3236(.9119686617)^xToyota Tundra- y=32730.45787(.9043648638)^x

The Dodge Ram has the greatest rate numerically (.9139593399) but the lowest rate of depreciation . This is important because the lower the number of the rate is (the closer it is to 0), the faster the function will reach $0. Thus the car with the lowest depreciation value will have the highest rate.

Chart (Prices in years)Equations (Cars)

2013(x=1)

2012(x=2)

2011(x=3)

2010(x=4)

2009(x=5)

y=33095.92395(.8699944004)^x(Ford)

$30,326 $24,450 $20,439 $18,839 $17,219

y=31882.89954(.9139593399)^x(Dodge)

$30,976 $24,849 $23,402 $23,205 $20,442

y=31381.3236(.9119686617)^x(Chevrolet)

$31,218 $24,279 $22,666 $21,942 $20,943

y=32730.45787(.9043648638)^x(Toyota)

$29,612 $26,815 $23,469 $23,142 $19,283

As displayed in the chart, prices on the Dodge from 2013-2009 absolutely do decrease and it has the lowest rate of depreciation compared to its peers making it the better buy.

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5$0

$5,000

$10,000

$15,000

$20,000

$25,000

$30,000

$35,000 Depreciation value of Pickup Trucks

Ford F-150- Supercrew CabDodge Ram 1500 Crew Cab STDChevrolet Silverado 1500 CrewcabToyota Tundra

Number of years

Pri

ce i

n $

USD

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5$0

$5,000

$10,000

$15,000

$20,000

$25,000

$30,000

$35,000

Depreciation value of Pickup Trucks

Ford F-150- Supercrew CabDodge Ram 1500 Crew Cab STDChevrolet Silverado 1500 CrewcabToyota Tundra

Number of years

Pri

ce i

n $

USD

Dodge Ram 1500 Crew Cab STD

Best value of all other pickup trucks.Features:• -Crew cab provides more space for comfort and capacity• -Best in class highway mpg, 25 highway mpg

Rate of Change:• 2012- 30976-24849/30976= 19.7798%• 2011- 24849-23402/24849= 5.8232%• 2010- 23402-23205/23402= 0.8418%• 2009- 23205-20442/23205= 11.9069%

If you make the decision to buy a used Dodge Ram, buy the 2010 model. It has the lowest rate of change, only 8.41%, making it the best buy of all the models.

Ford F-150- Super Crew Cab• Features:• -Haul up to 3,120 lbs.• -Class V trailer towing capability (max of 11,300 lbs.• -Best in class payload, can carry the most weight

Rate of Change-• 2012- 30326-24450/30326= 19.37995%• 2011- 24450-20439/24450= 16.40491%• 2010- 20439-18839/20439= 7.8282%• 2009- 18839-17219/18839= 8.5992%Price-• 2013 -$30,326• 2012 - $24,450• 2011- $20,439• 2010- $18,839• 2009- $17,219

Chevrolet Silverado 1500 CrewcabFeatures:• -fuel efficient truck with ecotech technology engine• -has 350 lb/ft of torque• -420 horsepowerRate of change:• 2012- 31218-24279/31218= 22.2276%• 2011- 24279-22666/24279= 6.6436%• 2010- 22666-21942/22666= 3.1942%• 2009- 21942-20943/21942= 4.5529%Price-• 2013- $31,218• 2012- $24,279• 2011- $22,666• 2010- $21,942• 2009- $20,943

Toyota Tundra CrewMaxFeatures:• -Star Safety System™ which includes Vehicle Stability Control

(VSC), Traction Control (TRAC), Anti-lock Brake System (ABS)Rate of Change:• 2012- 29612-26815/29612= 9.4455%• 2011- 26815-23469/26815= 12.4781%• 2010- 23469-23142/23469= 1.3933%• 2009- 23142-19283/23142= 16.6753%Price-• 2013- $29,612• 2012- $26,815• 2011- $23,469• 2010- $23,142• 2009- $19,283

Conclusion

•Based on the data and the graph, the Dodge Ram is the best buy. If you are buying a used model, the 2010 Dodge Ram is the best buy, with the lowest percent depreciation (8.41%) and also the lowest rate of depreciation (based on the exponential decay rate of (.9139593399)).

Extra Work

•Ford: y=33095.92395(.8699944004)^x

•Dodge Ram: y=31882.89954(.9139593399)^x

•Chevrolet Silverado: y=31381.3236(.9119686617)^x

•Toyota Tundra: y=32730.45787(.9043648638)^x