Question

In: Finance

If you lease a $57,000 car with a $700 per month payment and its projected residual...

If you lease a $57,000 car with a $700 per month payment and its projected residual value is $37,000 at the end of the three year leasing period, what is the implied interest rate?

Solutions

Expert Solution

Calculating the implied interest rate on lease using the IRR technique:

First, we will calculate by taking Implied interest rate(r) as 3%

where, C= Loan AMount = $57000

F = Residual Value = $37000

n= no of period = 3 year*12 =36

r = periodic interest rate = 0.03/12 = 0.0025

Lease Payment = $ 674.12

- Then, we will calculate by taking Implied interest rate(r) as 4%

where, C= Loan AMount = $57000

F = Residual Value = $37000

n= no of period = 3 year*12 =36

r = periodic interest rate = 0.04/12 = 0.0033

Lease Payment = $ 713.84

Now, Calculating Implied Interest rate,

r = 3.65%

So, implied interest rate is 3.65%


Related Solutions

You buy a car with a down payment of $3000 and payments of $600 per month...
You buy a car with a down payment of $3000 and payments of $600 per month for 3 years. If the interest rate is 3.6% compounded monthly, what is the total cost of the car?
You lease a car with a $600 down payment (due at the start of the lease),...
You lease a car with a $600 down payment (due at the start of the lease), 48 monthly payments of $553 (first payment due one month from today), and a $12,000 residual value. You plan to keep the car for 6 years total and sell it for an estimated $7,000. If your cost of capital is an APR of 4.8% (compounded monthly), what is the net cost of the lease including the effects of down payment, lease payments, residual value,...
You can afford a $450 per month car payment. You've found a 3 year loan at...
You can afford a $450 per month car payment. You've found a 3 year loan at 2% interest. How big of a loan can you afford?
You can afford payments of $700 per month for the purchase of a house.
You can afford payments of $700 per month for the purchase of a house.a) What is the largest amount you can finance for this house at 3.2% APR for 30 years? (Round to the nearest dollar.) b) How much total will you pay the finance company at the end of the 30 years for this house if you are paying $700 per month for thirty years? c) Now you are curious what the payments would be if you financed the same amount...
Find the interest paid on a 2-year lease for a $29,334 car if the car's residual...
Find the interest paid on a 2-year lease for a $29,334 car if the car's residual value is $18,469 and the lease has an annual interest rate of 5.3%. Round your answer to the nearest dollar. Find the interest paid on a 2-year lease for a $29,537 car if the car depreciates at an annual rate of 13% and the lease has an annual interest rate of 3.7%. Round your answer to the nearest dollar.
You have one apartment to lease, and the quoted rent is $750 per month. The lease...
You have one apartment to lease, and the quoted rent is $750 per month. The lease term is 12 months. A concession of one month’s free rent is being given in the market, and you are concerned about how this will affect property revenues if one month’s free rent is needed to seal the lease deal. What would the effective rent be for the year if no concession is granted? What would the effective rent be for the one-year term...
You are interested in leasing a car, and have been offered a 36-month lease with an...
You are interested in leasing a car, and have been offered a 36-month lease with an annual interest rate of 3%, monthly payments of $400, and an optional lease buyout of $10,000. a) What is the present value of the lease? b) What is the future value of the lease?
You are deciding whether to lease or purchase a car. If you lease the car, your...
You are deciding whether to lease or purchase a car. If you lease the car, your annual payments will be $7,400 for the next four years (due at year end). If you buy the car, you will pay $30,000 to purchase the car. You estimate the car will have a resale value of $12,000 at the end of four years. Assume the appropriate discount rate is 10%. Should you lease or buy the car? To answer this question, assume the...
Your local auto store is willing to lease you a new car for $254 a month...
Your local auto store is willing to lease you a new car for $254 a month for 66 months. Payments are due on the first day of each month starting with the day you sign the lease. Using an APR of 8.50% compounded semi-annually, what is the present value of the lease? Question 1 options: $12,822 $13,160 $13,497 $13,834 $14,172
Lease or Buy You are deciding whether to lease or purchase a car. If you lease...
Lease or Buy You are deciding whether to lease or purchase a car. If you lease the car, your annual payments will be $7,400 for the next four years (due at year end). If you buy the car, you will pay $30,000 to purchase the car. You estimate the car will have a resale value of $12,000 at the end of four years. Assume the appropriate discount rate is 10%. Should you lease or buy the car? To answer this...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT