You take out a 15-year mortgage for $50,000, at 8% interest, to be paid off mont
ID: 2642979 • Letter: Y
Question
You take out a 15-year mortgage for $50,000, at 8% interest, to be paid off monthly. a.) Find the monthly payment. b.) Complete the following amortization table for the company?s first 3 months of payments and last 3 months of payments. c.) Find the interest paid during 9th year of the mortgage. d.) After five years the owner decides to refinance the remaining balance for 10 years at 4.25% compounded monthly. Find the new monthly payment. e.) Find the amount of interest the owner would have paid f.) Find the amount of Interest the owner paid during the first 5 years. g.) Find the amount saved by refinancing. Show all your work b.) Complete the 11owing amortization table for the comp months of payments and last 3 months of payments.Explanation / Answer
A)
Principle
$50,000.00
Rate of Interest
8.00%
0.67%
Monthly
Tenure
15
180
Month
Monthly Payment
($477.83)
B)
Month
Outstanding Principle
Payment of Principle
Interest Payment
Monthly Payment
1
$50,000.00
($144.49)
($333.33)
($477.83)
2
$49,855.51
($145.46)
($332.37)
($477.83)
3
$49,710.05
($146.43)
($331.40)
($477.83)
178
$1,414.58
($468.40)
($9.43)
($477.83)
179
$946.18
($471.52)
($6.31)
($477.83)
180
$474.66
($474.66)
($3.16)
($477.83)
C)
Month
Outstanding Principle
Payment of Principle
Interest Payment
Monthly Payment
97
$30,656.97
($273.45)
($204.38)
($477.83)
98
$30,383.52
($275.27)
($202.56)
($477.83)
99
$30,108.25
($277.10)
($200.72)
($477.83)
100
$29,831.15
($278.95)
($198.87)
($477.83)
101
$29,552.19
($280.81)
($197.01)
($477.83)
102
$29,271.38
($282.68)
($195.14)
($477.83)
103
$28,988.70
($284.57)
($193.26)
($477.83)
104
$28,704.13
($286.47)
($191.36)
($477.83)
105
$28,417.67
($288.37)
($189.45)
($477.83)
106
$28,129.29
($290.30)
($187.53)
($477.83)
107
$27,838.99
($292.23)
($185.59)
($477.83)
108
$27,546.76
($294.18)
($183.65)
($477.83)
Total Interest paid in 9th Year
($2,329.53)
D)
Principle after 5 year
$39,383.13
Rate of Interest
4.25%
0.35%
Monthly
Rest Tenure
10
120
Month
Monthly Payment
($403.43)
E)
In First Five Year
($18,052.69)
in Next 10 Year
($9,028.60)
Total
($27,081.29)
F)
In First Five Year
($18,052.69)
G)
Total Interest Payable on 8 % Interest rate
($36,008.69)
After Refinancing Interest payable
($27,081.29)
Net Saving
$8,927.40
Principle
$50,000.00
Rate of Interest
8.00%
0.67%
Monthly
Tenure
15
180
Month
Monthly Payment
($477.83)
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