You are planning to acquire a new car with a negotiated purc
You are planning to acquire a new car with a negotiated purchase price of $50,000. You prefer to turn your cars over after 4 years. You have two financing choices: lease or borrow & buy. You can obtain a four-year loan at 6% annual rate (which means 0.5% monthly rate) for the entire purchase price of the car. A four-year lease (equal monthly lease payments start immediately) requires a down payment of $4,000. The market value of the car is expected to depreciate 48% in four years. What is the break-even lease payment? Assume taxes are irrelevant to this problem.
My professor said the answer is between 575-600. I am not getting this answer. Please help.
You are planning to acquire a new car with a negotiated purchase price of $50,000. You prefer to turn your cars over after 4 years. You have two financing choices: lease or borrow & buy. You can obtain a four-year loan at 6% annual rate (which means 0.5% monthly rate) for the entire purchase price of the car. A four-year lease (equal monthly lease payments start immediately) requires a down payment of $4,000. The market value of the car is expected to depreciate 48% in four years. What is the break-even lease payment? Assume taxes are irrelevant to this problem.
My professor said the answer is between 575-600. I am not getting this answer. Please help.
My professor said the answer is between 575-600. I am not getting this answer. Please help.
Solution
your question doesn\'t include information about discount rate and repayment of loan so my answer include following assumptions
-repayment of principle of loan is 12500 every year end
1st option borrow and buy
step 1 calculations of interest
yr. int
1. 3000 ( 50000*6%)
2. 2250 ( 37500*6%)
3. 1500 ( 25000*6%)
4. 750. (12500*6%)
TOTAL. 7500
step 2 calculations of total outflow
int. (7500)
loan repayment (50000)
scarp value. 26000
Total. 31500
option 2
calculations of equal monthly lease payment
total outflow of option 1 - down payment
31500-4000=27500
therefore monthly = 27500/48
=573
note :- my answer ignore the discount factor if you have then put the formula of discount factor the logic will remain same

