Analyze each statement to determine its validity.
Statement a is not always true due to other factors like interest rates.
Statement b is not a strict requirement as competitive rates can be found with lower down payments.
Statement c is generally true: lower interest rates lead to lower monthly payments.
Statement d is false: faster payoff implies higher monthly payments.
The correct answer is C.
Explanation
Analyzing the Statements Let's analyze each of the provided statements to determine which one is true.
Evaluating Statement A Statement a: A 30-year fixed mortgage will always result in the lowest payment. This is not always true because factors like interest rates can affect the payment amount. Shorter-term mortgages with very low interest rates could have lower payments.
Evaluating Statement B Statement b: You must have at least a 20% down payment to get a competitive interest rate. While a 20% down payment often helps in securing a better interest rate, it is not a strict requirement. Some lenders offer competitive rates with lower down payments, although this might involve paying for private mortgage insurance (PMI).
Evaluating Statement C Statement c: The lower your interest rate is, the lower your monthly payments are. This statement is generally true, assuming the loan amount and term are constant. A lower interest rate directly translates to a smaller portion of each payment going towards interest, thus reducing the overall monthly payment.
Evaluating Statement D Statement d: The faster you pay off your mortgage, the lower your monthly payments are. This statement is false. Paying off a mortgage faster means you're making larger monthly payments to reduce the principal quicker.
Conclusion Based on the analysis, statement c is the most accurate.
Examples
Understanding the factors that influence mortgage payments is crucial in personal finance. For instance, if you're deciding between two job offers, one in a high-cost-of-living area and another in a low-cost area, knowing how interest rates affect your mortgage payments can help you make an informed decision. A lower interest rate can significantly reduce your monthly expenses, allowing you to allocate more funds to other investments or savings. This knowledge is also useful when refinancing a mortgage, as even a small reduction in the interest rate can lead to substantial savings over the life of the loan. Let's say you have a mortgage of $200,000. At a 4% interest rate, your monthly payment would be approximately $955. At a 3% interest rate, your monthly payment would be approximately $843. That's a difference of $112 per month, or 1344 p erye a r ! M = P ( 1 + i ) n − 1 i ( 1 + i ) n , w h ere M i s t h e m o n t h l y p a y m e n t , P i s t h e p r in c i p a ll o anam o u n t , i i s t h e m o n t h l y in t eres t r a t e , an d n$ is the number of payments.