Question

Lease-A-Rama Co. leases equipment to Dunlavy Co. over a lease term of 5 years, with equal annual payments starting the first day of the lease. The fair value of the equipment is $500,000 and the expected residual value at the end of the lease term is $50,000. Lease-A-Rama expects a 12% return on investment as a result of the lease. What is the amount of the equal lease payments Dunlavy will make, and at what amount will Lease-A-Rama record its gross investment in the lease?

Answer 1

Ans. a) Equal lease payments are $116,816.41 and; b)Gross investment in the lease = $634,082.05

Step-by-step explanation:

Hi, in order to find the annuity of a lease that has a 12% return and residual value of $50,000, for four years and with its first payment made the same day of the lease, we need to solve for "A" the following equation.

`PresentValue=A+(A((1+r)^(n-1)-1) )/(r(1+r)^(n-1) ) +(ResidualValue)/((1+r)^(n) )`

Where:

r= expected rate of return

n= Number of payments

Therefore, everything should look like this

`500,000=A+(A((1+0.12)^(4)-1) )/(0.12(1+0.12)^(4) ) +(50,000)/((1+0.12)^(5) )`

`500,000=A+A(3.03734935)+28,371.34`

`500,000-28,371.34=A(4.03734935)`

`(500,000-28,371.34)/(4.03734935) =A`

`A=116,816.41`

That is the annual payment of the lease, with a residual value of 50,000, rate = 12%, for 5 years, with its first payment made the same day that the lease was issued.

B) the gross invesment to be recorded by Lease-A-Rama is

116,816.41*5 + 50,000= 634,082.05

Best of luck.