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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PLEASE ANSWER USING EXCEL. please show formulas used in excel. THANK YOU :) Parry Enterprises sells copy paper by the case to office supply stores. Each case of paper costs Parry $15. The operating costs are $30,000 per period. Each period, Parry sells approximately 15,000 cases of copy paper at $35 per case. Texas Office Emporium is requesting an order of 4,000 cases of copy paper in the next period at a price of $25 per case. Since Parry has...
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