Concord Company, a machinery dealer, leased manufacturing equipment to Mays Corporation on January 1, 2017. The lease is for a 7-year period and requires equal annual payments of $26,143 at the beginning of each year. The first payment is received on January 1, 2017. Concord had purchased the machine during 2016 for $75,000. Collectibility of lease payments is reasonably predictable, and no important uncertainties surround the amount of costs yet to be incurred by Concord. Concord set the annual rental to ensure an 8% rate of return. The machine has an economic life of 8 years with no residual value and reverts to Concord at the termination of the lease.

Compute the amount of the lease receivable.

Respuesta :

Answer:

$ 146,998.94  

Explanation:

The applicable formula in this case is the present of annuity due.The amount of annual lease rental needs to be stated to present value equivalence by discounting all future cash flows of lease rentals to today's equivalent worth.

PV=PMT*(1/i-1/i(1+i)^n)*(1+i)

i is the rate of return of 8% OR 0.08

n is the number of years which is 7

PMT is the yearly lease rental of $26143

PV=26143*(1/0.08-1/0.08(1+0.08)^7)*(1+0.08)

PV=26143*(1/0.08-1/0.137106)*(1+0.08)

PV=26143*(12.5-7.293629941 )*(1.08)

PV=26143*5.206370059 *1.08

PV= 146,998.94