In: Finance
The next four questions are related to your purchase of your first home for $600,000. You have just purchased the house and have put a 20% down payment, and will borrow the remaining amount. The 15-year fixed rate loan has an Annual Percentage Rate (APR) of 3.875%. You will make monthly payments for the life of the loan. How much is your monthly mortgage payment? Select one: a. $3,500 to $4,000 b. $2,500 to $3,000 c. Less than $2,500 d. $3,000 to $3,500 e. More than $4,000
Monthly payment | = | [P × R × (1+R)^N ] / [(1+R)^N -1] | |
Using the formula: | |||
Loan amount | P | $ 480,000 | |
Rate of interest per period: | |||
Annual rate of interest | 3.875% | ||
Frequency of payment | = | Once in 1 month period | |
Numer of payments in a year | = | 12/1 = | 12 |
Rate of interest per period | R | 0.03875 /12 = | 0.3229% |
Total number of payments: | |||
Frequency of payment | = | Once in 1 month period | |
Number of years of loan repayment | = | 15 | |
Total number of payments | N | 15 × 12 = | 180 |
Period payment using the formula | = | [ 480000 × 0.00323 × (1+0.00323)^180] / [(1+0.00323 ^180 -1] | |
Monthly payment | = | $ 3,520.51 |
Answer is: d. $3,000 to $3,500