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Let’s assume that you are applying for a mortgage in the amount of $380,000 at an interest rate of 7

Finance Nov 24, 2020

Let’s assume that you are applying for a mortgage in the amount of $380,000 at an interest rate of 7.5%. This is 30 year amortizing 10/1 ARM. What is the debt service of this mortgage?

A. $2,657.02

B. $2,634.75

C. $4,342.06

D. $4,510.67

Given the following information, calculate the interest only payment on this commercial loan. 5/1 I/O ARM, Loan amount: $2,984,000, Interest rate: 4.5%, Term: 30 years. First year, annual and lifetime cap: 5%. Index: LIBOR. Margin: 2.5%
A. $15,119
B. $11,290
C. $11,190
D. $15,190

Expert Solution

First:

Monthly payment = [P × R × (1+R)^N ] / [(1+R)^N -1]  
       
Using the formula:      
Loan amount P $                                                          380,000  
       
Rate of interest per period:      
Annual rate of interest   7.5000000%  
Frequency of payment = Once in 1 month period  
Numer of payments in a year = 12/1 = 12
Rate of interest per period R 0.075 /12 = 0.6250%
       
Total number of payments:      
Frequency of payment = Once in 1 month period  
Number of years of loan repayment =                                                                  30.00  
Total number of payments N 30 × 12 = 360
       
Period payment using the formula = [ 380000 × 0.00625 × (1+0.00625)^360] / [(1+0.00625 ^360 -1]  
Monthly payment = $                                                         2,657.02  

Answer is:

2,657.02

Second:

Interest rate for first year = 4.5%

Interest payment each month = 2,984,000 * 4.5%/12 = 11,190

Please rate.f

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