Answer:
The actual monthly payment is $206.08, which is slightly higher than the value given in the question, therefore, the given statement is not true.
Step by Step Explanation:
We have been given the loan amount as $12,000, term of loan as 6 years and annual interest rate as 7.25%.
Let us first find the monthly payment for this data, and then we can compare it with the given data to answer the given question.
We know that EMI formula is given as [tex]C=\frac{P\cdot r\cdot (1+r)^{n}}{(1+r)^{n}-1}[/tex]
Upon substituting the given values.
[tex]C=\frac{12000\cdot \frac{0.0725}{12}\cdot (1+\frac{0.0725}{12})^{72}}{(1+\frac{0.0725}{12})^{72}-1}\\C=\frac{12000\cdot 0.0060416666\cdot (1+0.0060416666)^{72}}{(1+0.0060416666)^{72}-1}\\C=\frac{12000\cdot 0.0060416666\cdot (1.0060416666)^{72}}{(1.0060416666)^{72}-1}\\C=206.076\\[/tex]
Therefore, the monthly payment is $206.08.
