TVM Solver

Solve for present value, future value, payment, rate, or periods, then carry the same figures into amortization, cash flows, annuities, rate conversions, and comparisons.

  • Methods explained
  • Save scenarios
  • Compare saved scenarios
  • Chart
  • Printable report

Known Values

$
$
%

The field being solved for drops out of the form. Periods are counted in compounding intervals, so a 30-year monthly loan is 360. Payments occur at period end. Positive payments add to the balance; negative payments reduce it.

Solved: Payment

Payment-$2,212
Present Value$350,000
Future Value$0
Annual Rate6.50%
Periods360
CompoundingMonthly

Balance schedule

Positive payments add to the balance; negative payments reduce it. Payments occur at the end of each compounding interval.

Projected closing balance: -$2.12. Difference from target: -$2.12. The solver rounds money and rates to two decimals and solved periods to a whole period; this schedule shows the resulting residual.

Complete period schedule (360 rows)
All periods, amounts in USD
PeriodOpeningPaymentInterestClosing
1$350,000.00-$2,212.24$1,895.83$349,683.59
2$349,683.59-$2,212.24$1,894.12$349,365.47
3$349,365.47-$2,212.24$1,892.40$349,045.63
4$349,045.63-$2,212.24$1,890.66$348,724.05
5$348,724.05-$2,212.24$1,888.92$348,400.73
6$348,400.73-$2,212.24$1,887.17$348,075.67
7$348,075.67-$2,212.24$1,885.41$347,748.84
8$347,748.84-$2,212.24$1,883.64$347,420.23
9$347,420.23-$2,212.24$1,881.86$347,089.85
10$347,089.85-$2,212.24$1,880.07$346,757.68
11$346,757.68-$2,212.24$1,878.27$346,423.72
12$346,423.72-$2,212.24$1,876.46$346,087.94
13$346,087.94-$2,212.24$1,874.64$345,750.34
14$345,750.34-$2,212.24$1,872.81$345,410.91
15$345,410.91-$2,212.24$1,870.98$345,069.65
16$345,069.65-$2,212.24$1,869.13$344,726.54
17$344,726.54-$2,212.24$1,867.27$344,381.57
18$344,381.57-$2,212.24$1,865.40$344,034.73
19$344,034.73-$2,212.24$1,863.52$343,686.01
20$343,686.01-$2,212.24$1,861.63$343,335.40
21$343,335.40-$2,212.24$1,859.73$342,982.89
22$342,982.89-$2,212.24$1,857.82$342,628.48
23$342,628.48-$2,212.24$1,855.90$342,272.14
24$342,272.14-$2,212.24$1,853.97$341,913.88
25$341,913.88-$2,212.24$1,852.03$341,553.67
26$341,553.67-$2,212.24$1,850.08$341,191.51
27$341,191.51-$2,212.24$1,848.12$340,827.39
28$340,827.39-$2,212.24$1,846.15$340,461.30
29$340,461.30-$2,212.24$1,844.17$340,093.23
30$340,093.23-$2,212.24$1,842.17$339,723.16
31$339,723.16-$2,212.24$1,840.17$339,351.09
32$339,351.09-$2,212.24$1,838.15$338,977.00
33$338,977.00-$2,212.24$1,836.13$338,600.88
34$338,600.88-$2,212.24$1,834.09$338,222.73
35$338,222.73-$2,212.24$1,832.04$337,842.53
36$337,842.53-$2,212.24$1,829.98$337,460.27
37$337,460.27-$2,212.24$1,827.91$337,075.94
38$337,075.94-$2,212.24$1,825.83$336,689.53
39$336,689.53-$2,212.24$1,823.73$336,301.02
40$336,301.02-$2,212.24$1,821.63$335,910.41
41$335,910.41-$2,212.24$1,819.51$335,517.69
42$335,517.69-$2,212.24$1,817.39$335,122.84
43$335,122.84-$2,212.24$1,815.25$334,725.84
44$334,725.84-$2,212.24$1,813.10$334,326.70
45$334,326.70-$2,212.24$1,810.94$333,925.40
46$333,925.40-$2,212.24$1,808.76$333,521.92
47$333,521.92-$2,212.24$1,806.58$333,116.26
48$333,116.26-$2,212.24$1,804.38$332,708.40
49$332,708.40-$2,212.24$1,802.17$332,298.33
50$332,298.33-$2,212.24$1,799.95$331,886.04
51$331,886.04-$2,212.24$1,797.72$331,471.51
52$331,471.51-$2,212.24$1,795.47$331,054.75
53$331,054.75-$2,212.24$1,793.21$330,635.72
54$330,635.72-$2,212.24$1,790.94$330,214.42
55$330,214.42-$2,212.24$1,788.66$329,790.84
56$329,790.84-$2,212.24$1,786.37$329,364.97
57$329,364.97-$2,212.24$1,784.06$328,936.79
58$328,936.79-$2,212.24$1,781.74$328,506.29
59$328,506.29-$2,212.24$1,779.41$328,073.46
60$328,073.46-$2,212.24$1,777.06$327,638.29
61$327,638.29-$2,212.24$1,774.71$327,200.75
62$327,200.75-$2,212.24$1,772.34$326,760.85
63$326,760.85-$2,212.24$1,769.95$326,318.56
64$326,318.56-$2,212.24$1,767.56$325,873.88
65$325,873.88-$2,212.24$1,765.15$325,426.79
66$325,426.79-$2,212.24$1,762.73$324,977.28
67$324,977.28-$2,212.24$1,760.29$324,525.34
68$324,525.34-$2,212.24$1,757.85$324,070.94
69$324,070.94-$2,212.24$1,755.38$323,614.09
70$323,614.09-$2,212.24$1,752.91$323,154.76
71$323,154.76-$2,212.24$1,750.42$322,692.94
72$322,692.94-$2,212.24$1,747.92$322,228.62
73$322,228.62-$2,212.24$1,745.41$321,761.78
74$321,761.78-$2,212.24$1,742.88$321,292.42
75$321,292.42-$2,212.24$1,740.33$320,820.51
76$320,820.51-$2,212.24$1,737.78$320,346.05
77$320,346.05-$2,212.24$1,735.21$319,869.02
78$319,869.02-$2,212.24$1,732.62$319,389.40
79$319,389.40-$2,212.24$1,730.03$318,907.19
80$318,907.19-$2,212.24$1,727.41$318,422.36
81$318,422.36-$2,212.24$1,724.79$317,934.91
82$317,934.91-$2,212.24$1,722.15$317,444.82
83$317,444.82-$2,212.24$1,719.49$316,952.07
84$316,952.07-$2,212.24$1,716.82$316,456.65
85$316,456.65-$2,212.24$1,714.14$315,958.55
86$315,958.55-$2,212.24$1,711.44$315,457.76
87$315,457.76-$2,212.24$1,708.73$314,954.25
88$314,954.25-$2,212.24$1,706.00$314,448.01
89$314,448.01-$2,212.24$1,703.26$313,939.03
90$313,939.03-$2,212.24$1,700.50$313,427.29
91$313,427.29-$2,212.24$1,697.73$312,912.78
92$312,912.78-$2,212.24$1,694.94$312,395.49
93$312,395.49-$2,212.24$1,692.14$311,875.39
94$311,875.39-$2,212.24$1,689.33$311,352.47
95$311,352.47-$2,212.24$1,686.49$310,826.73
96$310,826.73-$2,212.24$1,683.64$310,298.13
97$310,298.13-$2,212.24$1,680.78$309,766.67
98$309,766.67-$2,212.24$1,677.90$309,232.33
99$309,232.33-$2,212.24$1,675.01$308,695.10
100$308,695.10-$2,212.24$1,672.10$308,154.96
101$308,154.96-$2,212.24$1,669.17$307,611.89
102$307,611.89-$2,212.24$1,666.23$307,065.89
103$307,065.89-$2,212.24$1,663.27$306,516.92
104$306,516.92-$2,212.24$1,660.30$305,964.98
105$305,964.98-$2,212.24$1,657.31$305,410.05
106$305,410.05-$2,212.24$1,654.30$304,852.11
107$304,852.11-$2,212.24$1,651.28$304,291.16
108$304,291.16-$2,212.24$1,648.24$303,727.16
109$303,727.16-$2,212.24$1,645.19$303,160.11
110$303,160.11-$2,212.24$1,642.12$302,589.99
111$302,589.99-$2,212.24$1,639.03$302,016.78
112$302,016.78-$2,212.24$1,635.92$301,440.46
113$301,440.46-$2,212.24$1,632.80$300,861.02
114$300,861.02-$2,212.24$1,629.66$300,278.45
115$300,278.45-$2,212.24$1,626.51$299,692.71
116$299,692.71-$2,212.24$1,623.34$299,103.81
117$299,103.81-$2,212.24$1,620.15$298,511.72
118$298,511.72-$2,212.24$1,616.94$297,916.41
119$297,916.41-$2,212.24$1,613.71$297,317.89
120$297,317.89-$2,212.24$1,610.47$296,716.12
121$296,716.12-$2,212.24$1,607.21$296,111.09
122$296,111.09-$2,212.24$1,603.94$295,502.79
123$295,502.79-$2,212.24$1,600.64$294,891.19
124$294,891.19-$2,212.24$1,597.33$294,276.27
125$294,276.27-$2,212.24$1,594.00$293,658.03
126$293,658.03-$2,212.24$1,590.65$293,036.44
127$293,036.44-$2,212.24$1,587.28$292,411.48
128$292,411.48-$2,212.24$1,583.90$291,783.13
129$291,783.13-$2,212.24$1,580.49$291,151.39
130$291,151.39-$2,212.24$1,577.07$290,516.22
131$290,516.22-$2,212.24$1,573.63$289,877.61
132$289,877.61-$2,212.24$1,570.17$289,235.54
133$289,235.54-$2,212.24$1,566.69$288,589.99
134$288,589.99-$2,212.24$1,563.20$287,940.94
135$287,940.94-$2,212.24$1,559.68$287,288.38
136$287,288.38-$2,212.24$1,556.15$286,632.29
137$286,632.29-$2,212.24$1,552.59$285,972.64
138$285,972.64-$2,212.24$1,549.02$285,309.42
139$285,309.42-$2,212.24$1,545.43$284,642.61
140$284,642.61-$2,212.24$1,541.81$283,972.18
141$283,972.18-$2,212.24$1,538.18$283,298.12
142$283,298.12-$2,212.24$1,534.53$282,620.41
143$282,620.41-$2,212.24$1,530.86$281,939.03
144$281,939.03-$2,212.24$1,527.17$281,253.96
145$281,253.96-$2,212.24$1,523.46$280,565.18
146$280,565.18-$2,212.24$1,519.73$279,872.67
147$279,872.67-$2,212.24$1,515.98$279,176.41
148$279,176.41-$2,212.24$1,512.21$278,476.37
149$278,476.37-$2,212.24$1,508.41$277,772.55
150$277,772.55-$2,212.24$1,504.60$277,064.91
151$277,064.91-$2,212.24$1,500.77$276,353.44
152$276,353.44-$2,212.24$1,496.91$275,638.11
153$275,638.11-$2,212.24$1,493.04$274,918.91
154$274,918.91-$2,212.24$1,489.14$274,195.82
155$274,195.82-$2,212.24$1,485.23$273,468.80
156$273,468.80-$2,212.24$1,481.29$272,737.85
157$272,737.85-$2,212.24$1,477.33$272,002.94
158$272,002.94-$2,212.24$1,473.35$271,264.05
159$271,264.05-$2,212.24$1,469.35$270,521.16
160$270,521.16-$2,212.24$1,465.32$269,774.24
161$269,774.24-$2,212.24$1,461.28$269,023.28
162$269,023.28-$2,212.24$1,457.21$268,268.25
163$268,268.25-$2,212.24$1,453.12$267,509.13
164$267,509.13-$2,212.24$1,449.01$266,745.90
165$266,745.90-$2,212.24$1,444.87$265,978.53
166$265,978.53-$2,212.24$1,440.72$265,207.01
167$265,207.01-$2,212.24$1,436.54$264,431.30
168$264,431.30-$2,212.24$1,432.34$263,651.40
169$263,651.40-$2,212.24$1,428.11$262,867.27
170$262,867.27-$2,212.24$1,423.86$262,078.90
171$262,078.90-$2,212.24$1,419.59$261,286.25
172$261,286.25-$2,212.24$1,415.30$260,489.31
173$260,489.31-$2,212.24$1,410.98$259,688.06
174$259,688.06-$2,212.24$1,406.64$258,882.46
175$258,882.46-$2,212.24$1,402.28$258,072.50
176$258,072.50-$2,212.24$1,397.89$257,258.15
177$257,258.15-$2,212.24$1,393.48$256,439.39
178$256,439.39-$2,212.24$1,389.05$255,616.20
179$255,616.20-$2,212.24$1,384.59$254,788.55
180$254,788.55-$2,212.24$1,380.10$253,956.41
181$253,956.41-$2,212.24$1,375.60$253,119.77
182$253,119.77-$2,212.24$1,371.07$252,278.59
183$252,278.59-$2,212.24$1,366.51$251,432.86
184$251,432.86-$2,212.24$1,361.93$250,582.55
185$250,582.55-$2,212.24$1,357.32$249,727.63
186$249,727.63-$2,212.24$1,352.69$248,868.09
187$248,868.09-$2,212.24$1,348.04$248,003.88
188$248,003.88-$2,212.24$1,343.35$247,135.00
189$247,135.00-$2,212.24$1,338.65$246,261.40
190$246,261.40-$2,212.24$1,333.92$245,383.08
191$245,383.08-$2,212.24$1,329.16$244,500.00
192$244,500.00-$2,212.24$1,324.37$243,612.13
193$243,612.13-$2,212.24$1,319.57$242,719.46
194$242,719.46-$2,212.24$1,314.73$241,821.95
195$241,821.95-$2,212.24$1,309.87$240,919.58
196$240,919.58-$2,212.24$1,304.98$240,012.32
197$240,012.32-$2,212.24$1,300.07$239,100.15
198$239,100.15-$2,212.24$1,295.13$238,183.03
199$238,183.03-$2,212.24$1,290.16$237,260.95
200$237,260.95-$2,212.24$1,285.16$236,333.87
201$236,333.87-$2,212.24$1,280.14$235,401.77
202$235,401.77-$2,212.24$1,275.09$234,464.63
203$234,464.63-$2,212.24$1,270.02$233,522.40
204$233,522.40-$2,212.24$1,264.91$232,575.08
205$232,575.08-$2,212.24$1,259.78$231,622.62
206$231,622.62-$2,212.24$1,254.62$230,665.00
207$230,665.00-$2,212.24$1,249.44$229,702.20
208$229,702.20-$2,212.24$1,244.22$228,734.18
209$228,734.18-$2,212.24$1,238.98$227,760.91
210$227,760.91-$2,212.24$1,233.70$226,782.38
211$226,782.38-$2,212.24$1,228.40$225,798.54
212$225,798.54-$2,212.24$1,223.08$224,809.38
213$224,809.38-$2,212.24$1,217.72$223,814.86
214$223,814.86-$2,212.24$1,212.33$222,814.95
215$222,814.95-$2,212.24$1,206.91$221,809.62
216$221,809.62-$2,212.24$1,201.47$220,798.85
217$220,798.85-$2,212.24$1,195.99$219,782.60
218$219,782.60-$2,212.24$1,190.49$218,760.85
219$218,760.85-$2,212.24$1,184.95$217,733.57
220$217,733.57-$2,212.24$1,179.39$216,700.72
221$216,700.72-$2,212.24$1,173.80$215,662.27
222$215,662.27-$2,212.24$1,168.17$214,618.20
223$214,618.20-$2,212.24$1,162.52$213,568.48
224$213,568.48-$2,212.24$1,156.83$212,513.07
225$212,513.07-$2,212.24$1,151.11$211,451.94
226$211,451.94-$2,212.24$1,145.36$210,385.07
227$210,385.07-$2,212.24$1,139.59$209,312.41
228$209,312.41-$2,212.24$1,133.78$208,233.95
229$208,233.95-$2,212.24$1,127.93$207,149.64
230$207,149.64-$2,212.24$1,122.06$206,059.46
231$206,059.46-$2,212.24$1,116.16$204,963.38
232$204,963.38-$2,212.24$1,110.22$203,861.35
233$203,861.35-$2,212.24$1,104.25$202,753.36
234$202,753.36-$2,212.24$1,098.25$201,639.37
235$201,639.37-$2,212.24$1,092.21$200,519.34
236$200,519.34-$2,212.24$1,086.15$199,393.25
237$199,393.25-$2,212.24$1,080.05$198,261.06
238$198,261.06-$2,212.24$1,073.91$197,122.73
239$197,122.73-$2,212.24$1,067.75$195,978.24
240$195,978.24-$2,212.24$1,061.55$194,827.55
241$194,827.55-$2,212.24$1,055.32$193,670.62
242$193,670.62-$2,212.24$1,049.05$192,507.43
243$192,507.43-$2,212.24$1,042.75$191,337.94
244$191,337.94-$2,212.24$1,036.41$190,162.12
245$190,162.12-$2,212.24$1,030.04$188,979.92
246$188,979.92-$2,212.24$1,023.64$187,791.32
247$187,791.32-$2,212.24$1,017.20$186,596.28
248$186,596.28-$2,212.24$1,010.73$185,394.77
249$185,394.77-$2,212.24$1,004.22$184,186.76
250$184,186.76-$2,212.24$997.68$182,972.19
251$182,972.19-$2,212.24$991.10$181,751.05
252$181,751.05-$2,212.24$984.48$180,523.30
253$180,523.30-$2,212.24$977.83$179,288.89
254$179,288.89-$2,212.24$971.15$178,047.80
255$178,047.80-$2,212.24$964.43$176,799.99
256$176,799.99-$2,212.24$957.67$175,545.41
257$175,545.41-$2,212.24$950.87$174,284.04
258$174,284.04-$2,212.24$944.04$173,015.84
259$173,015.84-$2,212.24$937.17$171,740.77
260$171,740.77-$2,212.24$930.26$170,458.80
261$170,458.80-$2,212.24$923.32$169,169.87
262$169,169.87-$2,212.24$916.34$167,873.97
263$167,873.97-$2,212.24$909.32$166,571.05
264$166,571.05-$2,212.24$902.26$165,261.07
265$165,261.07-$2,212.24$895.16$163,943.99
266$163,943.99-$2,212.24$888.03$162,619.78
267$162,619.78-$2,212.24$880.86$161,288.40
268$161,288.40-$2,212.24$873.65$159,949.80
269$159,949.80-$2,212.24$866.39$158,603.96
270$158,603.96-$2,212.24$859.10$157,250.82
271$157,250.82-$2,212.24$851.78$155,890.36
272$155,890.36-$2,212.24$844.41$154,522.53
273$154,522.53-$2,212.24$837.00$153,147.28
274$153,147.28-$2,212.24$829.55$151,764.59
275$151,764.59-$2,212.24$822.06$150,374.41
276$150,374.41-$2,212.24$814.53$148,976.70
277$148,976.70-$2,212.24$806.96$147,571.41
278$147,571.41-$2,212.24$799.35$146,158.52
279$146,158.52-$2,212.24$791.69$144,737.97
280$144,737.97-$2,212.24$784.00$143,309.73
281$143,309.73-$2,212.24$776.26$141,873.75
282$141,873.75-$2,212.24$768.48$140,429.99
283$140,429.99-$2,212.24$760.66$138,978.41
284$138,978.41-$2,212.24$752.80$137,518.97
285$137,518.97-$2,212.24$744.89$136,051.63
286$136,051.63-$2,212.24$736.95$134,576.33
287$134,576.33-$2,212.24$728.96$133,093.05
288$133,093.05-$2,212.24$720.92$131,601.73
289$131,601.73-$2,212.24$712.84$130,102.33
290$130,102.33-$2,212.24$704.72$128,594.81
291$128,594.81-$2,212.24$696.56$127,079.13
292$127,079.13-$2,212.24$688.35$125,555.23
293$125,555.23-$2,212.24$680.09$124,023.09
294$124,023.09-$2,212.24$671.79$122,482.64
295$122,482.64-$2,212.24$663.45$120,933.85
296$120,933.85-$2,212.24$655.06$119,376.66
297$119,376.66-$2,212.24$646.62$117,811.05
298$117,811.05-$2,212.24$638.14$116,236.95
299$116,236.95-$2,212.24$629.62$114,654.33
300$114,654.33-$2,212.24$621.04$113,063.13
301$113,063.13-$2,212.24$612.43$111,463.32
302$111,463.32-$2,212.24$603.76$109,854.84
303$109,854.84-$2,212.24$595.05$108,237.64
304$108,237.64-$2,212.24$586.29$106,611.69
305$106,611.69-$2,212.24$577.48$104,976.93
306$104,976.93-$2,212.24$568.63$103,333.32
307$103,333.32-$2,212.24$559.72$101,680.80
308$101,680.80-$2,212.24$550.77$100,019.33
309$100,019.33-$2,212.24$541.77$98,348.86
310$98,348.86-$2,212.24$532.72$96,669.34
311$96,669.34-$2,212.24$523.63$94,980.73
312$94,980.73-$2,212.24$514.48$93,282.97
313$93,282.97-$2,212.24$505.28$91,576.01
314$91,576.01-$2,212.24$496.04$89,859.81
315$89,859.81-$2,212.24$486.74$88,134.31
316$88,134.31-$2,212.24$477.39$86,399.46
317$86,399.46-$2,212.24$468.00$84,655.22
318$84,655.22-$2,212.24$458.55$82,901.53
319$82,901.53-$2,212.24$449.05$81,138.34
320$81,138.34-$2,212.24$439.50$79,365.60
321$79,365.60-$2,212.24$429.90$77,583.25
322$77,583.25-$2,212.24$420.24$75,791.26
323$75,791.26-$2,212.24$410.54$73,989.55
324$73,989.55-$2,212.24$400.78$72,178.09
325$72,178.09-$2,212.24$390.96$70,356.81
326$70,356.81-$2,212.24$381.10$68,525.67
327$68,525.67-$2,212.24$371.18$66,684.61
328$66,684.61-$2,212.24$361.21$64,833.58
329$64,833.58-$2,212.24$351.18$62,972.52
330$62,972.52-$2,212.24$341.10$61,101.39
331$61,101.39-$2,212.24$330.97$59,220.11
332$59,220.11-$2,212.24$320.78$57,328.65
333$57,328.65-$2,212.24$310.53$55,426.94
334$55,426.94-$2,212.24$300.23$53,514.93
335$53,514.93-$2,212.24$289.87$51,592.56
336$51,592.56-$2,212.24$279.46$49,659.78
337$49,659.78-$2,212.24$268.99$47,716.53
338$47,716.53-$2,212.24$258.46$45,762.75
339$45,762.75-$2,212.24$247.88$43,798.40
340$43,798.40-$2,212.24$237.24$41,823.40
341$41,823.40-$2,212.24$226.54$39,837.70
342$39,837.70-$2,212.24$215.79$37,841.25
343$37,841.25-$2,212.24$204.97$35,833.98
344$35,833.98-$2,212.24$194.10$33,815.84
345$33,815.84-$2,212.24$183.17$31,786.77
346$31,786.77-$2,212.24$172.18$29,746.71
347$29,746.71-$2,212.24$161.13$27,695.60
348$27,695.60-$2,212.24$150.02$25,633.38
349$25,633.38-$2,212.24$138.85$23,559.98
350$23,559.98-$2,212.24$127.62$21,475.36
351$21,475.36-$2,212.24$116.32$19,379.44
352$19,379.44-$2,212.24$104.97$17,272.18
353$17,272.18-$2,212.24$93.56$15,153.49
354$15,153.49-$2,212.24$82.08$13,023.33
355$13,023.33-$2,212.24$70.54$10,881.64
356$10,881.64-$2,212.24$58.94$8,728.34
357$8,728.34-$2,212.24$47.28$6,563.38
358$6,563.38-$2,212.24$35.55$4,386.69
359$4,386.69-$2,212.24$23.76$2,198.21
360$2,198.21-$2,212.24$11.91-$2.12

Copies principal, annual rate and term. The destination recomputes its payment; amortization rounds each row to cents and adjusts the final payment. Compare uses rounded level payments. Existing destination inputs will be replaced.

Transfer: $350,000.00 principal, 6.5% annual rate, 360 monthly payments.

Captures the active worksheet, its assumptions and complete available schedule.

How it works›

Model and assumptions. Discounts or compounds cash flows to solve the selected time-value-of-money worksheet, including payment timing and rate-conversion conventions. Rate and IRR solvers can have no solution or multiple roots; the displayed solver status and selected root matter. Results follow the entered cash-flow signs and periods.OpenStax: time value of moneyOpenStax: annuity formulas