Question

In: Finance

I need the formulas in excel: Thank you You're talking to a friend of yours who...

I need the formulas in excel: Thank you

You're talking to a friend of yours who has student loans of $30,000. She has just graduated and now needs to pay them back with monthy payments at a 4.19% interest rate over the next 10 years.

a. Create a loan amortization table for this loan.
b. If she increases her monthly payment by $100, how much sooner will she have paid off the loan?
loan balance
number of payments
interest rate
monthly payments
Part a. Part b.
Month Amount owed at beginning Payment Amount to Interest Amount to principle Amount owed at end How much sooner will she pay off the loan?
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Solutions

Expert Solution

Loan Amount $          30,000
Mortgage Rate 4.19%
Compound Period Monthly
Amortization Period (in years) 10
Term (in years) 10
First Payment Date 01-10-2013
Payment Frequency Monthly
.
Payment $306.45

Payment excel formula: =PMT(0.0419/12,120,30000)

Mortgage table:

Month Amount owed at beginning Payment Interest Principal Amount owed at end
1 $30,000.00 $ 306.45 $ 104.75 $ 201.70 $29,798.30
2 $29,798.30 $ 306.45 $ 104.05 $ 202.40 $29,595.90
3 $29,595.90 $ 306.45 $ 103.34 $ 203.11 $29,392.79
4 $29,392.79 $ 306.45 $ 102.63 $ 203.82 $29,188.97
5 $29,188.97 $ 306.45 $ 101.92 $ 204.53 $28,984.44
6 $28,984.44 $ 306.45 $ 101.20 $ 205.25 $28,779.19
7 $28,779.19 $ 306.45 $ 100.49 $ 205.96 $28,573.23
8 $28,573.23 $ 306.45 $   99.77 $ 206.68 $28,366.55
9 $28,366.55 $ 306.45 $   99.05 $ 207.40 $28,159.15
10 $28,159.15 $ 306.45 $   98.32 $ 208.13 $27,951.02
11 $27,951.02 $ 306.45 $   97.60 $ 208.85 $27,742.17
12 $27,742.17 $ 306.45 $   96.87 $ 209.58 $27,532.59
13 $27,532.59 $ 306.45 $   96.13 $ 210.32 $27,322.27
14 $27,322.27 $ 306.45 $   95.40 $ 211.05 $27,111.22
15 $27,111.22 $ 306.45 $   94.66 $ 211.79 $26,899.43
16 $26,899.43 $ 306.45 $   93.92 $ 212.53 $26,686.90
17 $26,686.90 $ 306.45 $   93.18 $ 213.27 $26,473.63
18 $26,473.63 $ 306.45 $   92.44 $ 214.01 $26,259.62
19 $26,259.62 $ 306.45 $   91.69 $ 214.76 $26,044.86
20 $26,044.86 $ 306.45 $   90.94 $ 215.51 $25,829.35
21 $25,829.35 $ 306.45 $   90.19 $ 216.26 $25,613.09
22 $25,613.09 $ 306.45 $   89.43 $ 217.02 $25,396.07
23 $25,396.07 $ 306.45 $   88.67 $ 217.78 $25,178.29
24 $25,178.29 $ 306.45 $   87.91 $ 218.54 $24,959.75
25 $24,959.75 $ 306.45 $   87.15 $ 219.30 $24,740.45
26 $24,740.45 $ 306.45 $   86.39 $ 220.06 $24,520.39
27 $24,520.39 $ 306.45 $   85.62 $ 220.83 $24,299.56
28 $24,299.56 $ 306.45 $   84.85 $ 221.60 $24,077.96
29 $24,077.96 $ 306.45 $   84.07 $ 222.38 $23,855.58
30 $23,855.58 $ 306.45 $   83.30 $ 223.15 $23,632.43
31 $23,632.43 $ 306.45 $   82.52 $ 223.93 $23,408.50
32 $23,408.50 $ 306.45 $   81.73 $ 224.72 $23,183.78
33 $23,183.78 $ 306.45 $   80.95 $ 225.50 $22,958.28
34 $22,958.28 $ 306.45 $   80.16 $ 226.29 $22,731.99
35 $22,731.99 $ 306.45 $   79.37 $ 227.08 $22,504.91
36 $22,504.91 $ 306.45 $   78.58 $ 227.87 $22,277.04
37 $22,277.04 $ 306.45 $   77.78 $ 228.67 $22,048.37
38 $22,048.37 $ 306.45 $   76.99 $ 229.46 $21,818.91
39 $21,818.91 $ 306.45 $   76.18 $ 230.27 $21,588.64
40 $21,588.64 $ 306.45 $   75.38 $ 231.07 $21,357.57
41 $21,357.57 $ 306.45 $   74.57 $ 231.88 $21,125.69
42 $21,125.69 $ 306.45 $   73.76 $ 232.69 $20,893.00
43 $20,893.00 $ 306.45 $   72.95 $ 233.50 $20,659.50
44 $20,659.50 $ 306.45 $   72.14 $ 234.31 $20,425.19
45 $20,425.19 $ 306.45 $   71.32 $ 235.13 $20,190.06
46 $20,190.06 $ 306.45 $   70.50 $ 235.95 $19,954.11
47 $19,954.11 $ 306.45 $   69.67 $ 236.78 $19,717.33
48 $19,717.33 $ 306.45 $   68.85 $ 237.60 $19,479.73
49 $19,479.73 $ 306.45 $   68.02 $ 238.43 $19,241.30
50 $19,241.30 $ 306.45 $   67.18 $ 239.27 $19,002.03
51 $19,002.03 $ 306.45 $   66.35 $ 240.10 $18,761.93
52 $18,761.93 $ 306.45 $   65.51 $ 240.94 $18,520.99
53 $18,520.99 $ 306.45 $   64.67 $ 241.78 $18,279.21
54 $18,279.21 $ 306.45 $   63.82 $ 242.63 $18,036.58
55 $18,036.58 $ 306.45 $   62.98 $ 243.47 $17,793.11
56 $17,793.11 $ 306.45 $   62.13 $ 244.32 $17,548.79
57 $17,548.79 $ 306.45 $   61.27 $ 245.18 $17,303.61
58 $17,303.61 $ 306.45 $   60.42 $ 246.03 $17,057.58
59 $17,057.58 $ 306.45 $   59.56 $ 246.89 $16,810.69
60 $16,810.69 $ 306.45 $   58.70 $ 247.75 $16,562.94
61 $16,562.94 $ 306.45 $   57.83 $ 248.62 $16,314.32
62 $16,314.32 $ 306.45 $   56.96 $ 249.49 $16,064.83
63 $16,064.83 $ 306.45 $   56.09 $ 250.36 $15,814.47
64 $15,814.47 $ 306.45 $   55.22 $ 251.23 $15,563.24
65 $15,563.24 $ 306.45 $   54.34 $ 252.11 $15,311.13
66 $15,311.13 $ 306.45 $   53.46 $ 252.99 $15,058.14
67 $15,058.14 $ 306.45 $   52.58 $ 253.87 $14,804.27
68 $14,804.27 $ 306.45 $   51.69 $ 254.76 $14,549.51
69 $14,549.51 $ 306.45 $   50.80 $ 255.65 $14,293.86
70 $14,293.86 $ 306.45 $   49.91 $ 256.54 $14,037.32
71 $14,037.32 $ 306.45 $   49.01 $ 257.44 $13,779.88
72 $13,779.88 $ 306.45 $   48.11 $ 258.34 $13,521.54
73 $13,521.54 $ 306.45 $   47.21 $ 259.24 $13,262.30
74 $13,262.30 $ 306.45 $   46.31 $ 260.14 $13,002.16
75 $13,002.16 $ 306.45 $   45.40 $ 261.05 $12,741.11
76 $12,741.11 $ 306.45 $   44.49 $ 261.96 $12,479.15
77 $12,479.15 $ 306.45 $   43.57 $ 262.88 $12,216.27
78 $12,216.27 $ 306.45 $   42.66 $ 263.79 $11,952.48
79 $11,952.48 $ 306.45 $   41.73 $ 264.72 $11,687.76
80 $11,687.76 $ 306.45 $   40.81 $ 265.64 $11,422.12
81 $11,422.12 $ 306.45 $   39.88 $ 266.57 $11,155.55
82 $11,155.55 $ 306.45 $   38.95 $ 267.50 $10,888.05
83 $10,888.05 $ 306.45 $   38.02 $ 268.43 $10,619.62
84 $10,619.62 $ 306.45 $   37.08 $ 269.37 $10,350.25
85 $10,350.25 $ 306.45 $   36.14 $ 270.31 $10,079.94
86 $10,079.94 $ 306.45 $   35.20 $ 271.25 $ 9,808.69
87 $ 9,808.69 $ 306.45 $   34.25 $ 272.20 $ 9,536.49
88 $ 9,536.49 $ 306.45 $   33.30 $ 273.15 $ 9,263.34
89 $ 9,263.34 $ 306.45 $   32.34 $ 274.11 $ 8,989.23
90 $ 8,989.23 $ 306.45 $   31.39 $ 275.06 $ 8,714.17
91 $ 8,714.17 $ 306.45 $   30.43 $ 276.02 $ 8,438.15
92 $ 8,438.15 $ 306.45 $   29.46 $ 276.99 $ 8,161.16
93 $ 8,161.16 $ 306.45 $   28.50 $ 277.95 $ 7,883.21
94 $ 7,883.21 $ 306.45 $   27.53 $ 278.92 $ 7,604.29
95 $ 7,604.29 $ 306.45 $   26.55 $ 279.90 $ 7,324.39
96 $ 7,324.39 $ 306.45 $   25.57 $ 280.88 $ 7,043.51
97 $ 7,043.51 $ 306.45 $   24.59 $ 281.86 $ 6,761.65
98 $ 6,761.65 $ 306.45 $   23.61 $ 282.84 $ 6,478.81
99 $ 6,478.81 $ 306.45 $   22.62 $ 283.83 $ 6,194.98
100 $ 6,194.98 $ 306.45 $   21.63 $ 284.82 $ 5,910.16
101 $ 5,910.16 $ 306.45 $   20.64 $ 285.81 $ 5,624.35
102 $ 5,624.35 $ 306.45 $   19.64 $ 286.81 $ 5,337.54
103 $ 5,337.54 $ 306.45 $   18.64 $ 287.81 $ 5,049.73
104 $ 5,049.73 $ 306.45 $   17.63 $ 288.82 $ 4,760.91
105 $ 4,760.91 $ 306.45 $   16.62 $ 289.83 $ 4,471.08
106 $ 4,471.08 $ 306.45 $   15.61 $ 290.84 $ 4,180.24
107 $ 4,180.24 $ 306.45 $   14.60 $ 291.85 $ 3,888.39
108 $ 3,888.39 $ 306.45 $   13.58 $ 292.87 $ 3,595.52
109 $ 3,595.52 $ 306.45 $   12.55 $ 293.90 $ 3,301.62
110 $ 3,301.62 $ 306.45 $   11.53 $ 294.92 $ 3,006.70
111 $ 3,006.70 $ 306.45 $   10.50 $ 295.95 $ 2,710.75
112 $ 2,710.75 $ 306.45 $     9.47 $ 296.98 $ 2,413.77
113 $ 2,413.77 $ 306.45 $     8.43 $ 298.02 $ 2,115.75
114 $ 2,115.75 $ 306.45 $     7.39 $ 299.06 $ 1,816.69
115 $ 1,816.69 $ 306.45 $     6.34 $ 300.11 $ 1,516.58
116 $ 1,516.58 $ 306.45 $     5.30 $ 301.15 $ 1,215.43
117 $ 1,215.43 $ 306.45 $     4.24 $ 302.21 $     913.22
118 $     913.22 $ 306.45 $     3.19 $ 303.26 $     609.96
119 $     609.96 $ 306.45 $     2.13 $ 304.32 $     305.64
120 $     305.64 $ 306.71 $     1.07 $ 305.64 $           -  

Interest formula: =Amount owed*(Ineterest rate/12)= 30,000*(0.0419/12)=104.75 for first interest payment
Principal = Payment- Interest paid for each corresponding payment.
Amount owed at end= amount owed at beginning-principal for each corresponding payment.

Months Amount owed at beginning Payment Extra Payments Interest Principal Balance
1 $30,000.00 $ 306.45 $ 100.00 $ 104.75 $ 301.70 $29,698.30
2 $29,698.30 $ 306.45 $ 100.00 $ 103.70 $ 302.75 $29,395.55
3 $29,395.55 $ 306.45 $ 100.00 $ 102.64 $ 303.81 $29,091.74
4 $29,091.74 $ 306.45 $ 100.00 $ 101.58 $ 304.87 $28,786.87
5 $28,786.87 $ 306.45 $ 100.00 $ 100.51 $ 305.94 $28,480.93
6 $28,480.93 $ 306.45 $ 100.00 $   99.45 $ 307.00 $28,173.93
7 $28,173.93 $ 306.45 $ 100.00 $   98.37 $ 308.08 $27,865.85
8 $27,865.85 $ 306.45 $ 100.00 $   97.30 $ 309.15 $27,556.70
9 $27,556.70 $ 306.45 $ 100.00 $   96.22 $ 310.23 $27,246.47
10 $27,246.47 $ 306.45 $ 100.00 $   95.14 $ 311.31 $26,935.16
11 $26,935.16 $ 306.45 $ 100.00 $   94.05 $ 312.40 $26,622.76
12 $26,622.76 $ 306.45 $ 100.00 $   92.96 $ 313.49 $26,309.27
13 $26,309.27 $ 306.45 $ 100.00 $   91.86 $ 314.59 $25,994.68
14 $25,994.68 $ 306.45 $ 100.00 $   90.76 $ 315.69 $25,678.99
15 $25,678.99 $ 306.45 $ 100.00 $   89.66 $ 316.79 $25,362.20
16 $25,362.20 $ 306.45 $ 100.00 $   88.56 $ 317.89 $25,044.31
17 $25,044.31 $ 306.45 $ 100.00 $   87.45 $ 319.00 $24,725.31
18 $24,725.31 $ 306.45 $ 100.00 $   86.33 $ 320.12 $24,405.19
19 $24,405.19 $ 306.45 $ 100.00 $   85.21 $ 321.24 $24,083.95
20 $24,083.95 $ 306.45 $ 100.00 $   84.09 $ 322.36 $23,761.59
21 $23,761.59 $ 306.45 $ 100.00 $   82.97 $ 323.48 $23,438.11
22 $23,438.11 $ 306.45 $ 100.00 $   81.84 $ 324.61 $23,113.50
23 $23,113.50 $ 306.45 $ 100.00 $   80.70 $ 325.75 $22,787.75
24 $22,787.75 $ 306.45 $ 100.00 $   79.57 $ 326.88 $22,460.87
25 $22,460.87 $ 306.45 $ 100.00 $   78.43 $ 328.02 $22,132.85
26 $22,132.85 $ 306.45 $ 100.00 $   77.28 $ 329.17 $21,803.68
27 $21,803.68 $ 306.45 $ 100.00 $   76.13 $ 330.32 $21,473.36
28 $21,473.36 $ 306.45 $ 100.00 $   74.98 $ 331.47 $21,141.89
29 $21,141.89 $ 306.45 $ 100.00 $   73.82 $ 332.63 $20,809.26
30 $20,809.26 $ 306.45 $ 100.00 $   72.66 $ 333.79 $20,475.47
31 $20,475.47 $ 306.45 $ 100.00 $   71.49 $ 334.96 $20,140.51
32 $20,140.51 $ 306.45 $ 100.00 $   70.32 $ 336.13 $19,804.38
33 $19,804.38 $ 306.45 $ 100.00 $   69.15 $ 337.30 $19,467.08
34 $19,467.08 $ 306.45 $ 100.00 $   67.97 $ 338.48 $19,128.60
35 $19,128.60 $ 306.45 $ 100.00 $   66.79 $ 339.66 $18,788.94
36 $18,788.94 $ 306.45 $ 100.00 $   65.60 $ 340.85 $18,448.09
37 $18,448.09 $ 306.45 $ 100.00 $   64.41 $ 342.04 $18,106.05
38 $18,106.05 $ 306.45 $ 100.00 $   63.22 $ 343.23 $17,762.82
39 $17,762.82 $ 306.45 $ 100.00 $   62.02 $ 344.43 $17,418.39
40 $17,418.39 $ 306.45 $ 100.00 $   60.82 $ 345.63 $17,072.76
41 $17,072.76 $ 306.45 $ 100.00 $   59.61 $ 346.84 $16,725.92
42 $16,725.92 $ 306.45 $ 100.00 $   58.40 $ 348.05 $16,377.87
43 $16,377.87 $ 306.45 $ 100.00 $   57.19 $ 349.26 $16,028.61
44 $16,028.61 $ 306.45 $ 100.00 $   55.97 $ 350.48 $15,678.13
45 $15,678.13 $ 306.45 $ 100.00 $   54.74 $ 351.71 $15,326.42
46 $15,326.42 $ 306.45 $ 100.00 $   53.51 $ 352.94 $14,973.48
47 $14,973.48 $ 306.45 $ 100.00 $   52.28 $ 354.17 $14,619.31
48 $14,619.31 $ 306.45 $ 100.00 $   51.05 $ 355.40 $14,263.91
49 $14,263.91 $ 306.45 $ 100.00 $   49.80 $ 356.65 $13,907.26
50 $13,907.26 $ 306.45 $ 100.00 $   48.56 $ 357.89 $13,549.37
51 $13,549.37 $ 306.45 $ 100.00 $   47.31 $ 359.14 $13,190.23
52 $13,190.23 $ 306.45 $ 100.00 $   46.06 $ 360.39 $12,829.84
53 $12,829.84 $ 306.45 $ 100.00 $   44.80 $ 361.65 $12,468.19
54 $12,468.19 $ 306.45 $ 100.00 $   43.53 $ 362.92 $12,105.27
55 $12,105.27 $ 306.45 $ 100.00 $   42.27 $ 364.18 $11,741.09
56 $11,741.09 $ 306.45 $ 100.00 $   41.00 $ 365.45 $11,375.64
57 $11,375.64 $ 306.45 $ 100.00 $   39.72 $ 366.73 $11,008.91
58 $11,008.91 $ 306.45 $ 100.00 $   38.44 $ 368.01 $10,640.90
59 $10,640.90 $ 306.45 $ 100.00 $   37.15 $ 369.30 $10,271.60
60 $10,271.60 $ 306.45 $ 100.00 $   35.87 $ 370.58 $ 9,901.02
61 $ 9,901.02 $ 306.45 $ 100.00 $   34.57 $ 371.88 $ 9,529.14
62 $ 9,529.14 $ 306.45 $ 100.00 $   33.27 $ 373.18 $ 9,155.96
63 $ 9,155.96 $ 306.45 $ 100.00 $   31.97 $ 374.48 $ 8,781.48
64 $ 8,781.48 $ 306.45 $ 100.00 $   30.66 $ 375.79 $ 8,405.69
65 $ 8,405.69 $ 306.45 $ 100.00 $   29.35 $ 377.10 $ 8,028.59
66 $ 8,028.59 $ 306.45 $ 100.00 $   28.03 $ 378.42 $ 7,650.17
67 $ 7,650.17 $ 306.45 $ 100.00 $   26.71 $ 379.74 $ 7,270.43
68 $ 7,270.43 $ 306.45 $ 100.00 $   25.39 $ 381.06 $ 6,889.37
69 $ 6,889.37 $ 306.45 $ 100.00 $   24.06 $ 382.39 $ 6,506.98
70 $ 6,506.98 $ 306.45 $ 100.00 $   22.72 $ 383.73 $ 6,123.25
71 $ 6,123.25 $ 306.45 $ 100.00 $   21.38 $ 385.07 $ 5,738.18
72 $ 5,738.18 $ 306.45 $ 100.00 $   20.04 $ 386.41 $ 5,351.77
73 $ 5,351.77 $ 306.45 $ 100.00 $   18.69 $ 387.76 $ 4,964.01
74 $ 4,964.01 $ 306.45 $ 100.00 $   17.33 $ 389.12 $ 4,574.89
75 $ 4,574.89 $ 306.45 $ 100.00 $   15.97 $ 390.48 $ 4,184.41
76 $ 4,184.41 $ 306.45 $ 100.00 $   14.61 $ 391.84 $ 3,792.57
77 $ 3,792.57 $ 306.45 $ 100.00 $   13.24 $ 393.21 $ 3,399.36
78 $ 3,399.36 $ 306.45 $ 100.00 $   11.87 $ 394.58 $ 3,004.78
79 $ 3,004.78 $ 306.45 $ 100.00 $   10.49 $ 395.96 $ 2,608.82
80 $ 2,608.82 $ 306.45 $ 100.00 $     9.11 $ 397.34 $ 2,211.48
81 $ 2,211.48 $ 306.45 $ 100.00 $     7.72 $ 398.73 $ 1,812.75
82 $ 1,812.75 $ 306.45 $ 100.00 $     6.33 $ 400.12 $ 1,412.63
83 $ 1,412.63 $ 306.45 $ 100.00 $     4.93 $ 401.52 $ 1,011.11
84 $ 1,011.11 $ 306.45 $ 100.00 $     3.53 $ 402.92 $     608.19
85 $     608.19 $ 306.45 $ 100.00 $     2.12 $ 404.33 $     203.86
86 $     203.86 $ 204.57    $     0.71 $ 203.86 $       -0.00

For extra payment, $100 extra payment will go towards reducing balance as it will be added upto principal repayment

Hence loan will be paid of (120-86)=34 months sooner


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Can you answer this in excel showing formulas? thank you TommyHawk Bus Company is evaluating a...
Can you answer this in excel showing formulas? thank you TommyHawk Bus Company is evaluating a proposed project to provide charter trips to several state and national cultural events that will be taking place throughout the country during the next few years. To make the buses more comfortable and the trips more popular, each of eight new buses will be equipped with a kitchen and a large video screen for movies and sports telecasts. Each bus costs $200,000 and requires...
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