Question

In: Finance

Use your calculator to determine​ (1) the current mortgage payment​ (2) the total interest​ paid, (3)...

Use your calculator to determine​ (1) the current mortgage payment​ (2) the total interest​ paid, (3) the payment after the first adjustment and​ (4) the maximum payment for the following ​$156,000​, ​30-year mortgage. Assume that the initial interest rate is 6.90 percent.

d. Fixed for 5 years and then adjustable every 5​ years, 3 percent per​ period, 6 percent lifetime cap. Assume also that rates increase at least 3 percent per year until they reach the lifetime cap and rates never again drop below the lifetime cap for the term of the mortgage.

Solutions

Expert Solution

Loan Amount $156,000
No of Yrs 30
Initial interest rate 6.90%
Interest rate not to exceed 12.90% (6.90%+6%)
Payment in year 1 - 5 would be
Using PMT function in excel, we get ($12,445.43) PMT(6.9%,30,156000)
Year 6, Interest rate will be 9.90%
Using PMT function in excel, we get ($15,999.26) PMT(9.9%,25,146349.81)
Year 7, Interest rate will be 12.90%
Using PMT function in excel, we get ($19,758.49) PMT(12.9%,24,144839.18)
Years Beginning Loan Balance Interest Paid Principal Total Payments Ending Balance
1 $156,000 $10,764.0 $1,681.43 $12,445.43 $154,318.57
2 $154,318.57 $10,648.0 $1,797.45 $12,445.43 $152,521.12
3 $152,521.12 $10,524.0 $1,921.47 $12,445.43 $150,599.65
4 $150,599.65 $10,391.4 $2,054.05 $12,445.43 $148,545.59
5 $148,545.59 $10,249.6 $2,195.78 $12,445.43 $146,349.81
6 $146,349.81 $14,488.63 $1,510.63 $15,999.26 $144,839.18
7 $144,839.18 $18,684.25 $1,074.24 $19,758.49 $143,764.95
8 $143,764.95 $18,545.68 $1,212.81 $19,758.49 $142,552.13
9 $142,552.13 $18,389.23 $1,369.26 $19,758.49 $141,182.87
10 $141,182.87 $18,212.59 $1,545.90 $19,758.49 $139,636.97
11 $139,636.97 $18,013.17 $1,745.32 $19,758.49 $137,891.65
12 $137,891.65 $17,788.02 $1,970.47 $19,758.49 $135,921.18
13 $135,921.18 $17,533.83 $2,224.66 $19,758.49 $133,696.52
14 $133,696.52 $17,246.85 $2,511.64 $19,758.49 $131,184.89
15 $131,184.89 $16,922.85 $2,835.64 $19,758.49 $128,349.25
16 $128,349.25 $16,557.05 $3,201.44 $19,758.49 $125,147.81
17 $125,147.81 $16,144.07 $3,614.42 $19,758.49 $121,533.39
18 $121,533.39 $15,677.81 $4,080.68 $19,758.49 $117,452.70
19 $117,452.70 $15,151.40 $4,607.09 $19,758.49 $112,845.61
20 $112,845.61 $14,557.08 $5,201.41 $19,758.49 $107,644.20
21 $107,644.20 $13,886.10 $5,872.39 $19,758.49 $101,771.82
22 $101,771.82 $13,128.56 $6,629.93 $19,758.49 $95,141.89
23 $95,141.89 $12,273.30 $7,485.19 $19,758.49 $87,656.71
24 $87,656.71 $11,307.72 $8,450.77 $19,758.49 $79,205.93
25 $79,205.93 $10,217.57 $9,540.92 $19,758.49 $69,665.01
26 $69,665.01 $8,986.79 $10,771.70 $19,758.49 $58,893.30
27 $58,893.30 $7,597.24 $12,161.25 $19,758.49 $46,732.05
28 $46,732.05 $6,028.43 $13,730.06 $19,758.49 $33,001.99
29 $33,001.99 $4,257.26 $15,501.23 $19,758.49 $17,500.76
30 $17,500.76 $2,257.60 $17,500.89 $19,758.49 ($0.13)
$396,430.0 $156,000.1 $552,430.2

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