The amount should Fafnir report as intangible asset - franchise is -
Purchase value of Franchise = $ 50,000
Life of Franchise = 10 years
Salvage value = $ 0 ( not given)
Since, no other methods of amortization are specifically mentioned, straight line method will be used.
Book value of Franchise = Purchase price - Amortization expenses
Book value of Franchise = $ 50,000 - [ ( $ 50,000 - $ 0) / 10 Years ]
Straight-line depreciation = ( Purchase price - Salvage value) / Number of years
Book value of Franchise = $ 50,000 - $ 5,000 = $ 45,000
The amount should Fafnir report as intangible asset - franchise is = $ 45,000