Sum of digits interest
Asked by maham237 @ in Business viewed by 369 People
True or False: Computing interest using the sum-of-the-digits method allocates more interest at the beginning of a loan than at the end of the loan.
Answered by maham237 @
Answer:
True
Explanation:
To illustrate how the sum-of-the-digits method allocates interest we can use a lease example:
You are the lessor and you will lease a machine during 4 years. The lease requires 4 equal payments of $100,000 at the beginning of the year. After the lease, the asset's salvage value = $0.
The asset's current value = $300,000, so total interests received = $100,000
Using the sum-of-the-digits method, you will allocate interest as follows:
- year 1 = 3/6 x $100,000 = $50,000
- year 2 = 2/6 x $100,000 = $33,333
- year 3 = 1/6 x $100,000 = $17,000
The largest portion of interests is allocated during the beginning of the loan.
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