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Annuity Calculator

Solve any time value of money variable for an ordinary annuity or annuity due. Get present value, future value, payment, periods, or rate with a full schedule.

What do you want to solve for?

Enter the periodic payment, rate, and term to find how large the account will grow.

Common scenarios

Annuity type

Standard for loans, bonds, and most retirement annuities. Payments occur at the end of each period.

Accrual schedule

360 months, total interest $429,985.50, total of payments $180,000.00.

MonthStart balanceInterestPaymentEnd balance
1$0.00$0.00-$500.00-$500.00
2-$500.00-$2.92-$500.00-$1,002.92
3-$1,002.92-$5.85-$500.00-$1,508.77
4-$1,508.77-$8.80-$500.00-$2,017.57
5-$2,017.57-$11.77-$500.00-$2,529.34
6-$2,529.34-$14.75-$500.00-$3,044.09
7-$3,044.09-$17.76-$500.00-$3,561.85
8-$3,561.85-$20.78-$500.00-$4,082.63
9-$4,082.63-$23.82-$500.00-$4,606.44
10-$4,606.44-$26.87-$500.00-$5,133.31
11-$5,133.31-$29.94-$500.00-$5,663.26
12-$5,663.26-$33.04-$500.00-$6,196.29
13-$6,196.29-$36.15-$500.00-$6,732.44
14-$6,732.44-$39.27-$500.00-$7,271.71
15-$7,271.71-$42.42-$500.00-$7,814.13
16-$7,814.13-$45.58-$500.00-$8,359.71
17-$8,359.71-$48.76-$500.00-$8,908.48
18-$8,908.48-$51.97-$500.00-$9,460.44
19-$9,460.44-$55.19-$500.00-$10,015.63
20-$10,015.63-$58.42-$500.00-$10,574.05
21-$10,574.05-$61.68-$500.00-$11,135.73
22-$11,135.73-$64.96-$500.00-$11,700.69
23-$11,700.69-$68.25-$500.00-$12,268.95
24-$12,268.95-$71.57-$500.00-$12,840.52
25-$12,840.52-$74.90-$500.00-$13,415.42
26-$13,415.42-$78.26-$500.00-$13,993.68
27-$13,993.68-$81.63-$500.00-$14,575.31
28-$14,575.31-$85.02-$500.00-$15,160.33
29-$15,160.33-$88.44-$500.00-$15,748.76
30-$15,748.76-$91.87-$500.00-$16,340.63
31-$16,340.63-$95.32-$500.00-$16,935.95
32-$16,935.95-$98.79-$500.00-$17,534.74
33-$17,534.74-$102.29-$500.00-$18,137.03
34-$18,137.03-$105.80-$500.00-$18,742.83
35-$18,742.83-$109.33-$500.00-$19,352.16
36-$19,352.16-$112.89-$500.00-$19,965.05
37-$19,965.05-$116.46-$500.00-$20,581.51
38-$20,581.51-$120.06-$500.00-$21,201.57
39-$21,201.57-$123.68-$500.00-$21,825.25
40-$21,825.25-$127.31-$500.00-$22,452.56
41-$22,452.56-$130.97-$500.00-$23,083.54
42-$23,083.54-$134.65-$500.00-$23,718.19
43-$23,718.19-$138.36-$500.00-$24,356.55
44-$24,356.55-$142.08-$500.00-$24,998.62
45-$24,998.62-$145.83-$500.00-$25,644.45
46-$25,644.45-$149.59-$500.00-$26,294.04
47-$26,294.04-$153.38-$500.00-$26,947.42
48-$26,947.42-$157.19-$500.00-$27,604.62
49-$27,604.62-$161.03-$500.00-$28,265.65
50-$28,265.65-$164.88-$500.00-$28,930.53
51-$28,930.53-$168.76-$500.00-$29,599.29
52-$29,599.29-$172.66-$500.00-$30,271.95
53-$30,271.95-$176.59-$500.00-$30,948.54
54-$30,948.54-$180.53-$500.00-$31,629.07
55-$31,629.07-$184.50-$500.00-$32,313.57
56-$32,313.57-$188.50-$500.00-$33,002.07
57-$33,002.07-$192.51-$500.00-$33,694.58
58-$33,694.58-$196.55-$500.00-$34,391.13
59-$34,391.13-$200.61-$500.00-$35,091.75
60-$35,091.75-$204.70-$500.00-$35,796.45
61-$35,796.45-$208.81-$500.00-$36,505.26
62-$36,505.26-$212.95-$500.00-$37,218.21
63-$37,218.21-$217.11-$500.00-$37,935.32
64-$37,935.32-$221.29-$500.00-$38,656.61
65-$38,656.61-$225.50-$500.00-$39,382.10
66-$39,382.10-$229.73-$500.00-$40,111.83
67-$40,111.83-$233.99-$500.00-$40,845.82
68-$40,845.82-$238.27-$500.00-$41,584.09
69-$41,584.09-$242.57-$500.00-$42,326.66
70-$42,326.66-$246.91-$500.00-$43,073.56
71-$43,073.56-$251.26-$500.00-$43,824.83
72-$43,824.83-$255.64-$500.00-$44,580.47
73-$44,580.47-$260.05-$500.00-$45,340.52
74-$45,340.52-$264.49-$500.00-$46,105.01
75-$46,105.01-$268.95-$500.00-$46,873.96
76-$46,873.96-$273.43-$500.00-$47,647.39
77-$47,647.39-$277.94-$500.00-$48,425.33
78-$48,425.33-$282.48-$500.00-$49,207.81
79-$49,207.81-$287.05-$500.00-$49,994.86
80-$49,994.86-$291.64-$500.00-$50,786.49
81-$50,786.49-$296.25-$500.00-$51,582.75
82-$51,582.75-$300.90-$500.00-$52,383.65
83-$52,383.65-$305.57-$500.00-$53,189.22
84-$53,189.22-$310.27-$500.00-$53,999.49
85-$53,999.49-$315.00-$500.00-$54,814.49
86-$54,814.49-$319.75-$500.00-$55,634.24
87-$55,634.24-$324.53-$500.00-$56,458.77
88-$56,458.77-$329.34-$500.00-$57,288.11
89-$57,288.11-$334.18-$500.00-$58,122.30
90-$58,122.30-$339.05-$500.00-$58,961.34
91-$58,961.34-$343.94-$500.00-$59,805.28
92-$59,805.28-$348.86-$500.00-$60,654.15
93-$60,654.15-$353.82-$500.00-$61,507.96
94-$61,507.96-$358.80-$500.00-$62,366.76
95-$62,366.76-$363.81-$500.00-$63,230.57
96-$63,230.57-$368.84-$500.00-$64,099.41
97-$64,099.41-$373.91-$500.00-$64,973.32
98-$64,973.32-$379.01-$500.00-$65,852.33
99-$65,852.33-$384.14-$500.00-$66,736.47
100-$66,736.47-$389.30-$500.00-$67,625.77
101-$67,625.77-$394.48-$500.00-$68,520.25
102-$68,520.25-$399.70-$500.00-$69,419.95
103-$69,419.95-$404.95-$500.00-$70,324.90
104-$70,324.90-$410.23-$500.00-$71,235.13
105-$71,235.13-$415.54-$500.00-$72,150.67
106-$72,150.67-$420.88-$500.00-$73,071.55
107-$73,071.55-$426.25-$500.00-$73,997.80
108-$73,997.80-$431.65-$500.00-$74,929.45
109-$74,929.45-$437.09-$500.00-$75,866.54
110-$75,866.54-$442.55-$500.00-$76,809.10
111-$76,809.10-$448.05-$500.00-$77,757.15
112-$77,757.15-$453.58-$500.00-$78,710.73
113-$78,710.73-$459.15-$500.00-$79,669.88
114-$79,669.88-$464.74-$500.00-$80,634.62
115-$80,634.62-$470.37-$500.00-$81,604.99
116-$81,604.99-$476.03-$500.00-$82,581.02
117-$82,581.02-$481.72-$500.00-$83,562.74
118-$83,562.74-$487.45-$500.00-$84,550.19
119-$84,550.19-$493.21-$500.00-$85,543.40
120-$85,543.40-$499.00-$500.00-$86,542.40
121-$86,542.40-$504.83-$500.00-$87,547.23
122-$87,547.23-$510.69-$500.00-$88,557.93
123-$88,557.93-$516.59-$500.00-$89,574.51
124-$89,574.51-$522.52-$500.00-$90,597.03
125-$90,597.03-$528.48-$500.00-$91,625.52
126-$91,625.52-$534.48-$500.00-$92,660.00
127-$92,660.00-$540.52-$500.00-$93,700.51
128-$93,700.51-$546.59-$500.00-$94,747.10
129-$94,747.10-$552.69-$500.00-$95,799.79
130-$95,799.79-$558.83-$500.00-$96,858.62
131-$96,858.62-$565.01-$500.00-$97,923.63
132-$97,923.63-$571.22-$500.00-$98,994.85
133-$98,994.85-$577.47-$500.00-$100,072.32
134-$100,072.32-$583.76-$500.00-$101,156.08
135-$101,156.08-$590.08-$500.00-$102,246.16
136-$102,246.16-$596.44-$500.00-$103,342.59
137-$103,342.59-$602.83-$500.00-$104,445.42
138-$104,445.42-$609.26-$500.00-$105,554.69
139-$105,554.69-$615.74-$500.00-$106,670.42
140-$106,670.42-$622.24-$500.00-$107,792.67
141-$107,792.67-$628.79-$500.00-$108,921.46
142-$108,921.46-$635.38-$500.00-$110,056.83
143-$110,056.83-$642.00-$500.00-$111,198.83
144-$111,198.83-$648.66-$500.00-$112,347.49
145-$112,347.49-$655.36-$500.00-$113,502.85
146-$113,502.85-$662.10-$500.00-$114,664.95
147-$114,664.95-$668.88-$500.00-$115,833.83
148-$115,833.83-$675.70-$500.00-$117,009.53
149-$117,009.53-$682.56-$500.00-$118,192.08
150-$118,192.08-$689.45-$500.00-$119,381.54
151-$119,381.54-$696.39-$500.00-$120,577.93
152-$120,577.93-$703.37-$500.00-$121,781.30
153-$121,781.30-$710.39-$500.00-$122,991.69
154-$122,991.69-$717.45-$500.00-$124,209.14
155-$124,209.14-$724.55-$500.00-$125,433.70
156-$125,433.70-$731.70-$500.00-$126,665.39
157-$126,665.39-$738.88-$500.00-$127,904.28
158-$127,904.28-$746.11-$500.00-$129,150.38
159-$129,150.38-$753.38-$500.00-$130,403.76
160-$130,403.76-$760.69-$500.00-$131,664.45
161-$131,664.45-$768.04-$500.00-$132,932.49
162-$132,932.49-$775.44-$500.00-$134,207.93
163-$134,207.93-$782.88-$500.00-$135,490.81
164-$135,490.81-$790.36-$500.00-$136,781.17
165-$136,781.17-$797.89-$500.00-$138,079.06
166-$138,079.06-$805.46-$500.00-$139,384.53
167-$139,384.53-$813.08-$500.00-$140,697.60
168-$140,697.60-$820.74-$500.00-$142,018.34
169-$142,018.34-$828.44-$500.00-$143,346.78
170-$143,346.78-$836.19-$500.00-$144,682.97
171-$144,682.97-$843.98-$500.00-$146,026.95
172-$146,026.95-$851.82-$500.00-$147,378.78
173-$147,378.78-$859.71-$500.00-$148,738.49
174-$148,738.49-$867.64-$500.00-$150,106.13
175-$150,106.13-$875.62-$500.00-$151,481.75
176-$151,481.75-$883.64-$500.00-$152,865.39
177-$152,865.39-$891.71-$500.00-$154,257.10
178-$154,257.10-$899.83-$500.00-$155,656.94
179-$155,656.94-$908.00-$500.00-$157,064.94
180-$157,064.94-$916.21-$500.00-$158,481.15
181-$158,481.15-$924.47-$500.00-$159,905.62
182-$159,905.62-$932.78-$500.00-$161,338.40
183-$161,338.40-$941.14-$500.00-$162,779.55
184-$162,779.55-$949.55-$500.00-$164,229.09
185-$164,229.09-$958.00-$500.00-$165,687.10
186-$165,687.10-$966.51-$500.00-$167,153.60
187-$167,153.60-$975.06-$500.00-$168,628.67
188-$168,628.67-$983.67-$500.00-$170,112.33
189-$170,112.33-$992.32-$500.00-$171,604.66
190-$171,604.66-$1,001.03-$500.00-$173,105.68
191-$173,105.68-$1,009.78-$500.00-$174,615.47
192-$174,615.47-$1,018.59-$500.00-$176,134.06
193-$176,134.06-$1,027.45-$500.00-$177,661.50
194-$177,661.50-$1,036.36-$500.00-$179,197.86
195-$179,197.86-$1,045.32-$500.00-$180,743.18
196-$180,743.18-$1,054.34-$500.00-$182,297.52
197-$182,297.52-$1,063.40-$500.00-$183,860.92
198-$183,860.92-$1,072.52-$500.00-$185,433.44
199-$185,433.44-$1,081.70-$500.00-$187,015.14
200-$187,015.14-$1,090.92-$500.00-$188,606.06
201-$188,606.06-$1,100.20-$500.00-$190,206.26
202-$190,206.26-$1,109.54-$500.00-$191,815.80
203-$191,815.80-$1,118.93-$500.00-$193,434.72
204-$193,434.72-$1,128.37-$500.00-$195,063.09
205-$195,063.09-$1,137.87-$500.00-$196,700.96
206-$196,700.96-$1,147.42-$500.00-$198,348.38
207-$198,348.38-$1,157.03-$500.00-$200,005.42
208-$200,005.42-$1,166.70-$500.00-$201,672.11
209-$201,672.11-$1,176.42-$500.00-$203,348.54
210-$203,348.54-$1,186.20-$500.00-$205,034.74
211-$205,034.74-$1,196.04-$500.00-$206,730.77
212-$206,730.77-$1,205.93-$500.00-$208,436.70
213-$208,436.70-$1,215.88-$500.00-$210,152.58
214-$210,152.58-$1,225.89-$500.00-$211,878.47
215-$211,878.47-$1,235.96-$500.00-$213,614.43
216-$213,614.43-$1,246.08-$500.00-$215,360.51
217-$215,360.51-$1,256.27-$500.00-$217,116.78
218-$217,116.78-$1,266.51-$500.00-$218,883.30
219-$218,883.30-$1,276.82-$500.00-$220,660.12
220-$220,660.12-$1,287.18-$500.00-$222,447.30
221-$222,447.30-$1,297.61-$500.00-$224,244.91
222-$224,244.91-$1,308.10-$500.00-$226,053.01
223-$226,053.01-$1,318.64-$500.00-$227,871.65
224-$227,871.65-$1,329.25-$500.00-$229,700.90
225-$229,700.90-$1,339.92-$500.00-$231,540.82
226-$231,540.82-$1,350.65-$500.00-$233,391.48
227-$233,391.48-$1,361.45-$500.00-$235,252.93
228-$235,252.93-$1,372.31-$500.00-$237,125.23
229-$237,125.23-$1,383.23-$500.00-$239,008.47
230-$239,008.47-$1,394.22-$500.00-$240,902.68
231-$240,902.68-$1,405.27-$500.00-$242,807.95
232-$242,807.95-$1,416.38-$500.00-$244,724.33
233-$244,724.33-$1,427.56-$500.00-$246,651.89
234-$246,651.89-$1,438.80-$500.00-$248,590.69
235-$248,590.69-$1,450.11-$500.00-$250,540.80
236-$250,540.80-$1,461.49-$500.00-$252,502.29
237-$252,502.29-$1,472.93-$500.00-$254,475.22
238-$254,475.22-$1,484.44-$500.00-$256,459.66
239-$256,459.66-$1,496.01-$500.00-$258,455.67
240-$258,455.67-$1,507.66-$500.00-$260,463.33
241-$260,463.33-$1,519.37-$500.00-$262,482.70
242-$262,482.70-$1,531.15-$500.00-$264,513.85
243-$264,513.85-$1,543.00-$500.00-$266,556.85
244-$266,556.85-$1,554.91-$500.00-$268,611.76
245-$268,611.76-$1,566.90-$500.00-$270,678.66
246-$270,678.66-$1,578.96-$500.00-$272,757.62
247-$272,757.62-$1,591.09-$500.00-$274,848.71
248-$274,848.71-$1,603.28-$500.00-$276,951.99
249-$276,951.99-$1,615.55-$500.00-$279,067.55
250-$279,067.55-$1,627.89-$500.00-$281,195.44
251-$281,195.44-$1,640.31-$500.00-$283,335.75
252-$283,335.75-$1,652.79-$500.00-$285,488.54
253-$285,488.54-$1,665.35-$500.00-$287,653.89
254-$287,653.89-$1,677.98-$500.00-$289,831.87
255-$289,831.87-$1,690.69-$500.00-$292,022.55
256-$292,022.55-$1,703.46-$500.00-$294,226.02
257-$294,226.02-$1,716.32-$500.00-$296,442.34
258-$296,442.34-$1,729.25-$500.00-$298,671.58
259-$298,671.58-$1,742.25-$500.00-$300,913.84
260-$300,913.84-$1,755.33-$500.00-$303,169.17
261-$303,169.17-$1,768.49-$500.00-$305,437.65
262-$305,437.65-$1,781.72-$500.00-$307,719.37
263-$307,719.37-$1,795.03-$500.00-$310,014.40
264-$310,014.40-$1,808.42-$500.00-$312,322.82
265-$312,322.82-$1,821.88-$500.00-$314,644.70
266-$314,644.70-$1,835.43-$500.00-$316,980.13
267-$316,980.13-$1,849.05-$500.00-$319,329.18
268-$319,329.18-$1,862.75-$500.00-$321,691.93
269-$321,691.93-$1,876.54-$500.00-$324,068.47
270-$324,068.47-$1,890.40-$500.00-$326,458.87
271-$326,458.87-$1,904.34-$500.00-$328,863.21
272-$328,863.21-$1,918.37-$500.00-$331,281.58
273-$331,281.58-$1,932.48-$500.00-$333,714.06
274-$333,714.06-$1,946.67-$500.00-$336,160.72
275-$336,160.72-$1,960.94-$500.00-$338,621.66
276-$338,621.66-$1,975.29-$500.00-$341,096.95
277-$341,096.95-$1,989.73-$500.00-$343,586.69
278-$343,586.69-$2,004.26-$500.00-$346,090.94
279-$346,090.94-$2,018.86-$500.00-$348,609.81
280-$348,609.81-$2,033.56-$500.00-$351,143.36
281-$351,143.36-$2,048.34-$500.00-$353,691.70
282-$353,691.70-$2,063.20-$500.00-$356,254.90
283-$356,254.90-$2,078.15-$500.00-$358,833.05
284-$358,833.05-$2,093.19-$500.00-$361,426.25
285-$361,426.25-$2,108.32-$500.00-$364,034.57
286-$364,034.57-$2,123.53-$500.00-$366,658.10
287-$366,658.10-$2,138.84-$500.00-$369,296.94
288-$369,296.94-$2,154.23-$500.00-$371,951.17
289-$371,951.17-$2,169.72-$500.00-$374,620.89
290-$374,620.89-$2,185.29-$500.00-$377,306.18
291-$377,306.18-$2,200.95-$500.00-$380,007.13
292-$380,007.13-$2,216.71-$500.00-$382,723.84
293-$382,723.84-$2,232.56-$500.00-$385,456.39
294-$385,456.39-$2,248.50-$500.00-$388,204.89
295-$388,204.89-$2,264.53-$500.00-$390,969.42
296-$390,969.42-$2,280.65-$500.00-$393,750.07
297-$393,750.07-$2,296.88-$500.00-$396,546.95
298-$396,546.95-$2,313.19-$500.00-$399,360.14
299-$399,360.14-$2,329.60-$500.00-$402,189.74
300-$402,189.74-$2,346.11-$500.00-$405,035.85
301-$405,035.85-$2,362.71-$500.00-$407,898.56
302-$407,898.56-$2,379.41-$500.00-$410,777.96
303-$410,777.96-$2,396.20-$500.00-$413,674.17
304-$413,674.17-$2,413.10-$500.00-$416,587.27
305-$416,587.27-$2,430.09-$500.00-$419,517.36
306-$419,517.36-$2,447.18-$500.00-$422,464.54
307-$422,464.54-$2,464.38-$500.00-$425,428.92
308-$425,428.92-$2,481.67-$500.00-$428,410.59
309-$428,410.59-$2,499.06-$500.00-$431,409.65
310-$431,409.65-$2,516.56-$500.00-$434,426.21
311-$434,426.21-$2,534.15-$500.00-$437,460.36
312-$437,460.36-$2,551.85-$500.00-$440,512.21
313-$440,512.21-$2,569.65-$500.00-$443,581.87
314-$443,581.87-$2,587.56-$500.00-$446,669.43
315-$446,669.43-$2,605.57-$500.00-$449,775.00
316-$449,775.00-$2,623.69-$500.00-$452,898.69
317-$452,898.69-$2,641.91-$500.00-$456,040.60
318-$456,040.60-$2,660.24-$500.00-$459,200.83
319-$459,200.83-$2,678.67-$500.00-$462,379.51
320-$462,379.51-$2,697.21-$500.00-$465,576.72
321-$465,576.72-$2,715.86-$500.00-$468,792.58
322-$468,792.58-$2,734.62-$500.00-$472,027.21
323-$472,027.21-$2,753.49-$500.00-$475,280.70
324-$475,280.70-$2,772.47-$500.00-$478,553.17
325-$478,553.17-$2,791.56-$500.00-$481,844.73
326-$481,844.73-$2,810.76-$500.00-$485,155.49
327-$485,155.49-$2,830.07-$500.00-$488,485.56
328-$488,485.56-$2,849.50-$500.00-$491,835.06
329-$491,835.06-$2,869.04-$500.00-$495,204.10
330-$495,204.10-$2,888.69-$500.00-$498,592.79
331-$498,592.79-$2,908.46-$500.00-$502,001.25
332-$502,001.25-$2,928.34-$500.00-$505,429.59
333-$505,429.59-$2,948.34-$500.00-$508,877.93
334-$508,877.93-$2,968.45-$500.00-$512,346.38
335-$512,346.38-$2,988.69-$500.00-$515,835.07
336-$515,835.07-$3,009.04-$500.00-$519,344.11
337-$519,344.11-$3,029.51-$500.00-$522,873.62
338-$522,873.62-$3,050.10-$500.00-$526,423.71
339-$526,423.71-$3,070.80-$500.00-$529,994.52
340-$529,994.52-$3,091.63-$500.00-$533,586.15
341-$533,586.15-$3,112.59-$500.00-$537,198.74
342-$537,198.74-$3,133.66-$500.00-$540,832.40
343-$540,832.40-$3,154.86-$500.00-$544,487.25
344-$544,487.25-$3,176.18-$500.00-$548,163.43
345-$548,163.43-$3,197.62-$500.00-$551,861.05
346-$551,861.05-$3,219.19-$500.00-$555,580.24
347-$555,580.24-$3,240.88-$500.00-$559,321.12
348-$559,321.12-$3,262.71-$500.00-$563,083.83
349-$563,083.83-$3,284.66-$500.00-$566,868.49
350-$566,868.49-$3,306.73-$500.00-$570,675.22
351-$570,675.22-$3,328.94-$500.00-$574,504.16
352-$574,504.16-$3,351.27-$500.00-$578,355.43
353-$578,355.43-$3,373.74-$500.00-$582,229.17
354-$582,229.17-$3,396.34-$500.00-$586,125.51
355-$586,125.51-$3,419.07-$500.00-$590,044.57
356-$590,044.57-$3,441.93-$500.00-$593,986.50
357-$593,986.50-$3,464.92-$500.00-$597,951.42
358-$597,951.42-$3,488.05-$500.00-$601,939.47
359-$601,939.47-$3,511.31-$500.00-$605,950.78
360-$605,950.78-$3,534.71-$500.00-$609,985.50

About annuities

An annuity is a series of equal payments made at regular intervals. The two standard variants are the ordinary annuity, where payments land at the end of each period (typical for loans and most retirement annuities), and the annuity due, where payments land at the start of each period (typical for rent and insurance). The calculator uses the closed-form time value of money equations: PV = PMT × (1 − (1+i)^−n) / i and FV = PMT × ((1+i)^n − 1) / i, where i is the per-period rate and n is the number of periods. For an annuity due, each factor is multiplied by (1 + i). When solving for the rate, no closed form exists, so the calculator uses bisection on the cash-flow residual.

All math runs locally in your browser. Inputs are never uploaded. This tool is for estimation; confirm any contractual rate, day-count convention, and accrual schedule with the lender, insurer, or your financial professional.

How to use

  1. Pick which variable to solve for: Future value, Present value, Payment, Number of periods, or Rate.
  2. Pick the annuity type (Ordinary for end-of-period payments, Annuity due for start-of-period payments) and the payment frequency.
  3. Fill in the four known variables. The field for the variable you are solving for is disabled.
  4. Read the headline answer, the periodic and effective annual rates, the total of payments, and the total interest. Use Copy result to grab the headline.
  5. Scroll to the schedule for a period-by-period breakdown of start balance, interest, payment, and end balance. Use Copy CSV to paste into a spreadsheet.

About this tool

Annuity Calculator solves the time value of money equations for an ordinary annuity (payments at the end of each period, the convention for most loans, bonds, and retirement annuities) or an annuity due (payments at the start of each period, the convention for rent, leases, and many insurance premiums). Pick which of the five variables to solve for at the top: Future value compounds a periodic deposit and a starting balance to a target date; Present value discounts a stream of future payments back to today, the standard question for valuing a pension, a lottery payout, or a structured settlement; Payment backs out the level deposit needed to reach a savings goal or amortize a loan; Number of periods answers how long it takes to grow to a target or pay a balance down; Rate runs a bisection search on the cash-flow residual to find the periodic rate that ties present value, future value, payment, and term together when there is no closed form. Six payment frequencies cover annually, semi-annually, quarterly, monthly, weekly, and daily compounding, so a 7% annual rate compounded monthly is treated as 0.5833% per month over 12 periods per year, and the effective annual rate is reported alongside the periodic rate. Common scenarios are preloaded as one-click chips: retirement contributions ($500 / mo at 7% for 30 yr), lottery present value ($50K / yr at 5% for 20 yr), a 30-year mortgage payment from a $250K principal, a $100K savings goal in 10 years, an annuity-due rent stream, and a years-to-a-million case. The result panel shows the headline answer, the formula used, the periodic rate, the effective annual rate, the total of all payments, and the total interest, and the schedule below splits every period into start balance, interest, payment, and end balance with a one-click Copy CSV button ready to paste into a spreadsheet. Useful for retirement and savings planning, valuing a structured settlement or pension payout, comparing a lottery lump sum to its annuity, sizing a loan payment, working out how long a target balance takes to reach, and any classroom or textbook time value of money problem. Inputs are not uploaded; all math runs locally in your browser.

Free to use. Works in your browser. No signup, no login.

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