you have just taken out an installment loan totaling $36,000 for a 1971 Ford Mach 1 Mustang at a 6% interest rate, to be repaid over three years with equal annual payments. Complete the loan table below including the column headings.
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2400 | ||||
---|---|---|---|---|
YEAR 1 | ||||
YEAR 2 | ||||
YEAR 3 |
PVOrdinary Annuity = C*[(1-(1+i/100)^(-n))/(i/100)] |
C = Cash flow per period |
i = interest rate |
n = number of payments |
36000= Cash Flow*((1-(1+ 6/100)^-3)/(6/100)) |
Cash Flow = 13467.95 = annual installment |
Annual rate(M)= | yearly rate/1= | 6.00% | Annual payment= | 13467.95 | |
Year | Beginning balance (A) | Annual payment | Interest = M*A | Principal paid | Ending balance |
1 | 36000.00 | 13467.95 | 2160.00 | 11307.95 | 24692.05 |
2 | 24692.05 | 13467.95 | 1481.52 | 11986.43 | 12705.62 |
3 | 12705.62 | 13467.95 | 762.34 | 12705.62 | 0.00 |
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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