Question

In: Finance

Suppose that you have two alternatives to purchase a new Mini Cooper. You must put $2500...

Suppose that you have two alternatives to purchase a new Mini Cooper. You must put $2500 down, and make payments of $419 per month for 48 months, at the end of each month, or pay $19,000 cash. The dealer's stated financing rate is 5.1% APR. If you agree to the financing terms, how much money are you saving (+) or losing (-) in comparison to paying cash in dollars and cents? (Your answer should be positive when saving money, negative when you are paying more.)

Solutions

Expert Solution

- To purchase a Mini Cooper, you pay $2500 down and pay monthly payment at the end of each month for 48 months which is $419

Calculating the Present Value today of monthly Payment:-

Where, C= Periodic Monthly Payments = 419

r = Periodic Interest rate = 5.1%/12 = 0.425%

n= no of periods = 48   

Present Value = $18,158.48

So, Value today of future periodic monthly payment is $18,158.48

Total Value of purchase car today = Present Value + Down Payment = $18,158.48 + $2500

= $20,658.48

- If you purchase in cash you have to pay $19,000

If you agreee to financing terms, you will lose money by paying as the Value today of financing term is higher than paying cash today

Thus, Amount of Losing money = $19,000 - $20,658.48

Amount of Losing money = -$1658.48

If you need any clarification, you can ask in comments.    

If you like my answer, then please up-vote as it will be motivating       


Related Solutions

Suppose that you have two alternatives to purchase a new Mini Cooper. You must put $2500...
Suppose that you have two alternatives to purchase a new Mini Cooper. You must put $2500 down, and make payments of $387 per month for 48 months, at the end of each month, or pay $19,000 cash. The dealer's stated financing rate is 5.1% APR. If you pay cash for the car, how much money are you saving (+) or losing (-) in comparison with financing your purchase through the dealer? (Your answer should be positive when saving money, negative...
Should Mai Lease or Purchase? Mai is considering the purchase of a Mini Cooper and has...
Should Mai Lease or Purchase? Mai is considering the purchase of a Mini Cooper and has negotiated a final price of $23,450. She’s trying to decide whether to lease or purchase the vehicle. • If she leases, she’ll have to pay a $550 security deposit, a capital cost reduction (down payment) equal to 10% of the vehicle’s cost, and monthly payments of $415 over the three-year term of the closed-end lease. The Mini Cooper will have a residual value of...
How is Mini Cooper creating a new life cycle in the United States?
How is Mini Cooper creating a new life cycle in the United States?
You are about to purchase a brand new car for $23.400. You have $14.400 to put...
You are about to purchase a brand new car for $23.400. You have $14.400 to put down and will need to finance the rest. The dealership has two options. 1) Full price of the car and a loan of 0% interest for 3 years. 2) $1000 off the price of the car (known as cash back) and a loan for the rest with an interest rate of 5.9% for 3 years Which is the better option? (you must show work...
1. Cooper Copper Company is considering the purchase of two new molding machines. Machine A and...
1. Cooper Copper Company is considering the purchase of two new molding machines. Machine A and Machine B both have a cost of $10,000 and will be evaluated using a 12% cost of capital. The machines’ expected net cash flows are as follows: Expected Net Cash Flows Year Machine A Machine B 0 -$10,000 -$10,000 1 6,500 3,500 2 3,000 3,500 3 3,000 3,500 4 1,000 3,500 a. Calculate each project’s payback period. b. Calculate each project’s discounted payback period....
Suppose you intend to purchase a new car after you graduate. You expect to put $5,000...
Suppose you intend to purchase a new car after you graduate. You expect to put $5,000 down and finance the balance over a 5-year period. The maximum amount you are willing to pay each month is $600. What is the maximum price you can pay for the car in other words, how much you can afford to pay for the car, assuming an interest rate of 8% per year, compounded monthly?
Car buyers often add accessories to their new cars. A sample of 179 Mini Cooper purchasers...
Car buyers often add accessories to their new cars. A sample of 179 Mini Cooper purchasers yielded a sample mean of $5,000 worth of accessories added to the purchase above the $20,200 base sticker price. Suppose the cost of accessories purchased for all Minis has a standard deviation of $1,500. a) Calculate a 95% confidence interval for the average cost of accessories on Minis. b) Determine the margin of error in estimating the average cost of accessories on Minis. c)...
Suppose you buy a straddle, which means you purchase a put and a call with the...
Suppose you buy a straddle, which means you purchase a put and a call with the same strike price. The put price is $1.70 and the call price is $2.10. Assume the strike price is $60. What are the expiration date payoffs to this position for stock prices of $55, $57.50, $60, $62.50, and $65? What are the expiration date net profits to this position for these same stock prices? What are the break-even stock prices?
Suppose you purchase a new car for $27,000. You do not have money in your bank...
Suppose you purchase a new car for $27,000. You do not have money in your bank today but since you have just graduated from UTSA and have a job with high five figure annual salary, you see no problems in taking a five-year loan from your dealer. After looking at your options, you agree to the following terms: 0% down payment with 6.75% APR (compounded monthly). The loan must be paid back in monthly payments over the five years. (Round...
Create a two-page mini pragmatic change plan: imagine you have to introduce a new dress code...
Create a two-page mini pragmatic change plan: imagine you have to introduce a new dress code in your team e.g.(white shirt policy). People so far have had no expectations set as per their dressing, some feel awkward and surprised. You are in charge as a leader to introduce and implement this change. For example: How can you encourage your team to go through the change? How can you make change fearless, how can you create clarity, how can you encourage...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT