Question

Sage Hill Company is negotiating to lease a piece of equipment to MTBA, Inc. MTBA requests that the lease be for 9 years. The equipment has a useful life of 10 years. Sage Hill wants a guarantee that the residual value of the equipment at the end of the lease is at least $4,000. MTBA agrees to guarantee a residual value of this amount though it expects the residual value of the equipment to be only $2,500 at the end of the lease term. If the fair value of the equipment at lease commencement is $100,000, what would be the amount of the annual rental payments Sage Hill demands of MTBA, assuming each payment will be made at the beginning of each year and Sage Hill wishes to earn a rate of return on the lease of 8%

Answer 1

$14,621.99

Step-by-step explanation:

Calculation to determine what would be the amount of the annual rental payments Sage Hill demands of MTBA,

Let X be the annual lease payments

Annuity factor of 8% for 9 years = 6.74664

Discounting factor of 8% at beginning of 9 years = 0.54027

Annual Rental Payments=$100,000 = (X * 6.74664) + ($2,500 * 0.54027)

Annual Rental Payments=$100,000 = (X * 6.74664) + $1350.675

Annual Rental Payments=(X * 6.74664) = $100,000 - 1,350.675

Annual Rental Payments=X = 98,649.325 / 6.74664

Annual Rental Payments=X = $14,621.99

Annual Rental Payments=X = $14,621.99

Therefore, what would be the amount of the annual rental payments Sage Hill demands of MTBA , is $14,621.99