net present value calculations, roi and irr

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zeftrr81733

Business Finance

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1) Using net present value calculations, determine which has a higher ROI. Assume the average mileage under both options is 15,000 miles. The car will be sold for its Kelly Blue Book value at the end of ownership or it will be returned to the leasing dealership for no additional lease/return/mileage cost. The automobile being considered is a 4-cyl, 2.5 liter, two-wheel drive, Nissan Rogue sport utility. At the end of the 6 years, the automobile is in very good condition. Tax, title, or license fees are not considered under either option.

  • Buying a Nissan Rogue today for $32,000, putting $10,000 down and taking a six-year loan for the rest at 4%
or
  • Leasing the Rogue for 6 years at $360 a month with a down payment of $3,500 due at delivery. The car must be returned at the end of the lease. 15,000 miles per year are allowed under this lease plan.
Show your work and explain your rationale.

2) Commit to buy a vacation home in the climate of your choice, rent the home out when you are not using it, or sign a five-year lease for the home for the two months a year you plan on using it. You will need to make up the numbers for your home for this exercise.

3) A different buy-or-lease alternative—you could buy a home for $300,000, putting 20% down and renting it out at $1,700 a month. Which would make more financial sense? Buying or leasing the home? Explain your rationale.

4)Lease your home for the next three years or sell it with the intent to return to the same geographic area after you complete a three-year expatriate assignment in the country of your choice. Given the facts above, should you lease the house or sell it? The current market value is approximately $320,000. Explain your rationale, and show your work.

For the two options that you selected (and using the figures given above for those options), investigate the realistic assumptions for your location and include the information you found in the analysis. Create a paper in about 1,000–1,200 words, including the following:

  • Initial information/approach: purchase price, rebate, down payment, amount to finance, etc.
  • Payments formulas and calculations
  • Explanation of the financial factors that you are employing in the selected decisions
  • Conclusion containing the "best answer" for your personal life on the basis of these financial factors
  • Probability of following the recommended "best answer" (assuming that these are the only decision options)

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Explanation & Answer

Attached.

Running Head: Net Present Value

1

Net Present Value
Institutional Affiliation
Date

Net Present Value

2
QUESTION ONE

Option 1
Purchase price of the car

= $32,000

Down payment amount

= $10,000

Loan amount

= $22,000

Interest rate = 4%
Loan period = 6 years
Interest rate payment = 4%/12 = 0.0033333
Total periods for loan repayments = 6 × 12 = 72 periods
The total cost of the loan =

Total cost of the loan =

𝐿𝑜𝑎𝑛 𝑎𝑚𝑜𝑢𝑛𝑡 ×𝑟 ×𝑛
1−(1+𝑟 )⁻ⁿ

22,000 ×0.003333 × 72
1−(1+0.003333 )⁻⁷²

Total cost of the loan = $24,768.11
Total loan amount plus down payment = $24,768.11 + $10,000 = $34,768.11
Option 2
Leasing the car
Lease term = 6 years (6 × 12 = 72 periods)
Lease monthly payments = $360
Down payment = $3,500

Net Present Value

3

Interest rate = 4% (4%/12 = 0.0033333)
Value of the leased asset = lease payments ×

Value of the leased asset = $360 ×

1−(1+𝑟)⁻ⁿ
𝑟

1−(1+0.0033333)⁻⁷²
0.00333

+ down payment

+ $3,500

Value of the leased asset = $26,510.5
Rationale
Based on the calculations done above to determine the net present value of the car, the lease
agreement will result in a lower cost as compared to the purchase option. Purchasing the car will
cost the company $34,768.11, while the leasing option will cost the company $26,510.5. Leasing
the car will save the company a total cost of $8,257.61. Therefore, it will be cost effective to lease
the car other than purchasing it.
QUESTION ...


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