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Problem 6-9 Short-term versus longer-term borrowing [LO3] Sauer Food Company has decided to buy a new computer system with an expected life of three years.
Problem 6-9 Short-term versus longer-term borrowing [LO3] Sauer Food Company has decided to buy a new computer system with an expected life of three years. The cost is $150,000. The company can borrow $150,000 for three years at 10 percent annual interest or for one year at 8 percent annual interest. Assume interest is paid in full at the end of each year. a. How much would Sauer Food Company save in interest over the three-year life of the computer system if the one-year loan is utilized and the loan is rolled over (reborrowed) each year at the same 8 percent rate? Compare this to the 10 percent three-year loan. b. What if interest rates on the 8 percent loan go up to 13 percent in year 2 and 18 percent in year 3? What would be the total interest cost compared to the 10 percent, three-year loan? | |||||
Input variables: | |||||
Number of years | 3 | years | |||
Cost | $150,000 | ||||
3-year Interest rate | 0.10 | ||||
1-year interest rate | 0.08 | ||||
a. Years 2-3 interest rate | 0.08 | ||||
b. Year 2 interest rate | 0.13 | ||||
b. Year 3 interest rate | 0.18 | ||||
Solution and Explanation: | |||||
a. | |||||
Interest for 3 years @ | 1-yr rate | ||||
Interest for 3 years @ | 3-yr rate | ||||
Interest savings | |||||
b. | |||||
Interest for 3 years @ | 3-yr rate | ||||
Variable rate: | |||||
Interest - Year 1 | |||||
Interest - Year 2 | |||||
Interest - Year 3 | |||||
Total variable-rate interest | |||||
Extra interest | |||||
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