The interest rate might be called the discount rate, opportunity cost of capital, compound rate as well as other terms we will discuss later. Often a firm or individual is interested in computing the interest rate associated with a financial transaction. The interest rate is often used as a measure of the projects risk when it is set by the market.
Northern Air Lines is financing a new plane with a loan of $100,000 to be repaid in 5 annual end-of-year installments of $30,000. What annual interest rate is the company paying?
Annual rate(M)= | yearly rate/12= | 15.24% | Annual payment= | 30000.00 | ||
Year | Beginning balance (A) | Annual payment | Interest = M*A | Principal paid | Ending balance | |
1 | 100000.00 | 30000.00 | 15238.24 | 14761.76 | 85238.24 | |
2 | 85238.24 | 30000.00 | 12988.80 | 17011.20 | 68227.04 | |
3 | 68227.04 | 30000.00 | 10396.60 | 19603.40 | 48623.64 | |
4 | 48623.64 | 30000.00 | 7409.39 | 22590.61 | 26033.03 | |
1 | 5 | 26033.03 | 30000.00 | 3966.97 | 26033.03 | 0.00 |
Annual rate %=15.24 |
Where |
Interest paid = Beginning balance * Annual interest rate |
Principal = Annual payment – interest paid |
Ending balance = beginning balance – principal paid |
Beginning balance = previous Year ending balance |
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