Question

On January 1, 2017, Crown Company sold property to Leary Company. There was no established exchange price for the property, and Leary gave Crown a $400,000 zero-interest-bearing note payable, promising 5 equal annual installments of $80,000, with the first payment due December 31, 2017. The prevailing rate of interest for a note of this type is 8%.
Required:
What is the carrying value of the notes payable at 12/31/14, after the first payment is made (assuming that the effective-interest method is used)?

Answer 1

Answer:

Leary Company

The carrying value of the notes payable at December 31, 2017, after the first payment is made (assuming that the effective-interest method is used) is:

= $320,000

Explanation:

a) Data and Calculations:

0% Note payable = $400,000

Payment period = 5

Annual installmental payments = $80,000

Prevailing rate of interest for similar note = 8%

Schedule

Period PV                 PMT            Interest               FV

1 $-591,650.08 $80,000.00 $-47,332.01 $558,982.09

2 $-558,982.09 $80,000.00 $-44,718.57 $523,700.66

3 $-523,700.66 $80,000.00 $-41,896.05 $485,596.71

4 $-485,596.71 $80,000.00 $-38,847.74 $444,444.44

5 $-444,444.44 $80,000.00 $-35,555.56 $400,000.00

Total                     $400,000.00    $-208,349.93

Carrying value

Ending value   = $400,000

Interest expense   -47,332.01

Cash repayment   -32,667.99

Carrying value = $320,000