$1,100 per month for 10 years, if the account earns 2% per year What the student or parent is asking is: If they deposit $1,100 per month in a savings/investment account every month for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? Deposits are monthly. But interest crediting is annual. What we want is to match the two based on interest crediting time, which is annual or yearly. 1100 per month. * 12 months in a year = 13,200 per year in deposit Since we matched interest crediting period with deposits, we now want to know: If they deposit $13,200 per year in a savings/investment account every year for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? This is an annuity, which is a constant stream of payments with interest crediting at a certain period. [SIZE=5][B]Calculate AV given i = 0.02, n = 10[/B] [B]AV = Payment * ((1 + i)^n - 1)/i[/B][/SIZE] [B]AV =[/B]13200 * ((1 + 0.02)^10 - 1)/0.02 [B]AV =[/B]13200 * (1.02^10 - 1)/0.02 [B]AV =[/B]13200 * (1.2189944199948 - 1)/0.02 [B]AV =[/B]13200 * 0.21899441999476/0.02 [B]AV = [/B]2890.7263439308/0.02 [B]AV = 144,536.32[/B]

A $1,000 investment takes a 10% loss each year. What will be the value 3 years? 10% is 0.1. Our Balance function B(y) where y is the number of years since the start is: B(y) = 1000(1 - 0.1)^y B(y) = 1000(0.9)^y We want to know B(3): B(3) = 1000(0.9)^3 B(3) = 1000(0.729) B(3) = [B]729[/B]

A man invested part of $15,000 at 12% and the remainder at 8%. If his annual income from the investments is $1456, how much does he have invested at each rate? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=15000&i1=12&i2=8&itot=1456&pl=Calculate']split fund interest calculator[/URL], we get: [LIST] [*]Fund 1 Investment @ 12% = [B]6,400[/B] [*]Fund 2 Investment @ 8% =[B] [B]8,600[/B][/B] [/LIST]

A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=5200&i1=4&i2=3&itot=194&pl=Calculate']split fund interest calculator[/URL], we get: [LIST] [*][B]Fund 1 = $3,800[/B] [*][B]Fund 2 = $1,400[/B] [/LIST]

A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her investments in stocks. How much did she invest in stocks? How much did she invest in bonds? Let the stock investment be s, and the bond investment be b. We're given: [LIST=1] [*]b + s = 30000 [*]b = 1/3s + 2000 [/LIST] Plug in (2) to (1): 1/3s + 2000 + s = 30000 Group like terms: (1/3 + 1)s + 2000 = 30000 Since 1 = 3/3, we have: 4/3s + 2000 = 30000 Subtract 2000 from each side: 4/3s + 2000 - 2000 = 30000 - 2000 Cancel the 2000's on the left side, we get: 4/3s = 28000 [URL='https://www.mathcelebrity.com/1unk.php?num=4%2F3s%3D28000&pl=Solve']Typing this equation into our calculator[/URL], we get: s = [B]21,000[/B]

A person invests $500 in an account that earns a nominal yearly rate of 4%. How much will this investment be worth in 10 years? If the interest was applied four times per year (known as quarterly compounding), calculate how much the investment would be worth after 10 years. Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=500&nval=10&int=4&pl=Annually']compound interest calculator[/URL], $500 @ 4% for 10 years is: $[B]740.12 [/B] Using [URL='https://www.mathcelebrity.com/compoundint.php?bal=500&nval=40&int=4&pl=Quarterly']quarterly compounding in our compound interest calculator[/URL], we have 10 years * 4 quarters per year = 40 periods, so we have: [B]$744.43[/B]

A person invests $9400 in an account at 5% interest compound annually. When will the value of the investment be $12,800. Let's take it one year at a time: Year 1: 9,400(1.05) = 9,870 Year 2: 9,870(1.05) = 10,363.50 Year 3: 10,363.50(1.05) = 10,881.68 Year 4: 10.881.68(1.05) = 11,425.76 Year 5: 11,425.76(1.05) = 11,997.05 Year 6: 11,997.05(1.05) = 12.596.90 Year 7: 12,596.90(1.05) = 13,226.74 So it take [B][U]7 years[/U][/B] to cross the $12,800 amount.

A person places $230 in an investment account earning an annual rate of 6.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years Using our [URL='http://www.mathcelebrity.com/simpint.php?av=&p=230&int=6.8&t=20&pl=Continuous+Interest']continuous compounding calculator[/URL], we get: V = [B]896.12[/B]

A person places $96300 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V=PertV = Pe^{rt} V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 7 years. Substituting our given numbers in where P = 96,300, r = 0.028, and t = 7, we get: V = 96,300 * e^(0.028 * 7) V = 96,300 * e^0.196 V = 96,300 * 1.21652690533 V = [B]$117,151.54[/B]

A principal of $2200 is invested at 6% interest, compounded annually.How much will investment be worth after 10 years? Use our [URL='http://www.mathcelebrity.com/compoundint.php?bal=2200&nval=10&int=6&pl=Annually']balance calculator,[/URL] we get: [B]$3,939.86[/B]

A principal of $3300 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years? [URL='https://www.mathcelebrity.com/compoundint.php?bal=3300&nval=10&int=3.25&pl=Annually']Using our balance calculator with compound interest[/URL], we get: [B]$4,543.75[/B]

A project requires a $5000 investment. It pays out $1000 at year 1, $2000 at year 2, $3000 at year 3. The discount rate is 5%. Should you invest? Using our [URL='https://www.mathcelebrity.com/npv.php?matrix1=0%2C-5000%0D%0A1%2C1000%0D%0A2%2C2000%0D%0A3%2C3000&irr=5&pl=NPV']NPV calculator,[/URL] we get: NPV = 357.94. Because NPV > 0, we [B]should invest [MEDIA=youtube]jXvwCTDwQ1o[/MEDIA][/B]

Free Accounting Rate of Return Calculator - Given an initial investment and a set of returns, this calculates the Accounting Rate of Return

An investment of $200 is now valued at $315. Assuming continuous compounding has occurred for 6 years, approximately what interest rate is needed to be for this to be possible? [URL='https://www.mathcelebrity.com/simpint.php?av=315&p=200&int=&t=6&pl=Continuous+Interest']Using our continuous compounding calculator solving for interest rate[/URL], we get: I = [B]7.57%[/B]

An investor has $300,000 to invest, part at 12% and the remainder in a less risky investment at 7%. If the investment goal is to have an annual income of $27,000, how much should be put in each investment? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=300000&i1=12&i2=7&itot=27000&pl=Calculate']split-fund interest calculator[/URL], we get: [LIST] [*][B]$120,000 in the 12% Fund[/B] [*][B]$180,000 in the 7% Fund[/B] [/LIST]

An investor invests $1000. Part of the investment is made at 5% interest and part of the investment is made at 10% interest. How much should be invested at 5% so the total interest in the first year is $80? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=1000&i1=5&i2=10&itot=80&pl=Calculate']split fund interest calculator[/URL], we get: [B]$400[/B]

Calculate the value of an investment of $15,000 at 6% interest after 7 years. Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=15000&nval=7&int=6.5&pl=Annually']balance calculator[/URL], we get; [B]23,309.80[/B]

Dick invested $9538 in an account at 10% compounded annually. Calculate the total investment after 10 years. Round your answer to the nearest penny if necessary. Annual compounding means we don't need to make adjustments to interest rate per compounding period. [URL='https://www.mathcelebrity.com/compoundint.php?bal=9538&nval=10&int=10&pl=Annually']Using our compound interest calculator[/URL], we get our new balance after 10 years of: [B]$24,739.12[/B]

Ed invests $5,500 into the stock market which earns 2% per year. In 20 years, how much will Ed's investment be worth if interest is compounded monthly? Round to the nearest dollar. 20 years * 12 months per year = 240 months Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=5550&nval=240&int=2&pl=Monthly']compound interest calculator[/URL], we get: [B]8,276.87[/B]

Free Equivalent Annual Cost (EAC) Calculator - Given 2 Items/machines with an Investment Cost, expected lifetime, and maintenance cost, this will calculate the EAC for each Item/machine as well as draw a conclusion on which project to invest in.

1) [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C3500%0D%0A2%2C3500%0D%0A3%2C3500%0D%0A&irr=8&pl=NPV']Net present value[/URL] = $1,019.85 [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C3500%0D%0A2%2C3500%0D%0A3%2C3500&irr=8&pl=IRR']IRR[/URL] = 14% I need a reinvestment rate from you for [URL='http://www.mathcelebrity.com/mirr.php']MIRR shown here[/URL] Yes, we should pursue the project since NPV > 0 2) [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C5000%0D%0A2%2C5000&irr=8&pl=NPV']Net present value[/URL] = $916.32 Buy A as it has the higher net present value.

Free Gross Domestic Product (GDP) Calculator - Solves for all items of the Gross Domestic Product (GDP) equation:
GDP
Consumption (C)
Investment (I)
Government Spending (G)
Exports (X)
Imports (I).

How many years will it take for an initial investment of $40,000 to go to $60,000? Assuming a rate of interest at 18% compounded continuously [URL='https://www.mathcelebrity.com/simpint.php?av=60000&p=40000&int=18&t=&pl=Continuous+Interest']Using our continuous interest calculator[/URL] and solving for n, we get: n = [B]2.2526 years[/B]

If I invest $2000, part at 8% and part at 6%, how much did I invest at 8% if I earned $150 from both investments? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=2000+&i1=6&i2=8&itot=150&pl=Calculate']split fund interest calculator, we get:[/URL] [LIST=1] [*]Fund 1 @ 6% = 500 [*]Fund 2 @ 8% = [B]1500[/B] [/LIST]

Isaac invested $5000 at two different rates, 4% and 6.5% if his total interest income was $250, how much did he invest at each rate? Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=5000&i1=4&i2=6.5&itot=250&pl=Calculate']split fund calculator[/URL], we have the following investments per fund: Fund 1: [B]$3,000[/B] Fund 2: [B]$2,000[/B]

Jessie invests $3345 in the stock market. Over the 3 years she has this invested she gets an average return of 7.8%. How much will her investment be worth after the 3 years? 7.8% = 0.078, so we use our compound interest formula to find our balance after 3 years. Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=3345&nval=3+&int=7.8&pl=Annually']compound interest balance calculator[/URL], we get: [B]$4,190.37[/B]

Jim invested $25,000 at an interest rate of 2% compounded anually. Approximately how much would Jim’s investment be worth after 2 years Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=25000&nval=20&int=2.0&pl=Annually']compound interest calculator[/URL], we get: [B]$37,148.68[/B]

John took 20,000 out of his retirement and reinvested it. He earned 4% for one investment and 5% on the other. How much did he invest in each if the total amount earned was 880? The first principal portion is x. Which means the second principal portion is 20,000 - x. We have: 0.04x + 0.05(20,000 - x) = 880 0.04x + 1,000 - 0.05x = 880 Group like terms: -0.01x + 1000 = 880 Using our [URL='http://www.mathcelebrity.com/1unk.php?num=-0.01x%2B1000%3D880&pl=Solve']equation solver[/URL], we get x = [B]12,000[/B]. Which means the other fund has 20,000 - 12,000 = [B]8,000[/B].

Luke invested $140 at 6% simple interest for a period of 7 years. How much will his investment be worth after 7 years? Using our [URL='https://www.mathcelebrity.com/simpint.php?av=&p=140&int=6&t=7&pl=Simple+Interest']simple interest balance calculator[/URL], we get [B]$198.80[/B].

Luke invested 120 at 5% simple interest for a period of 7 years. How much will investment be worth after years Using our [URL='https://www.mathcelebrity.com/simpint.php?av=&p=120&int=5&t=7&pl=Simple+Interest']balance with simple interest calculator[/URL], we get: [B]162[/B]

Free Modified Internal Rate of Return (MIRR) Calculator - Given a set of positive/negative cash flows, a finance rate, and a reinvestment rate, this calculates the modified internal rate of return

Rochelle deposits $4,000 in an IRA. What will be the value (in dollars) of her investment in 25 years if the investment is earning 8% per year and is compounded continuously? Using our [URL='https://www.mathcelebrity.com/simpint.php?av=&p=4000&int=8&t=25&pl=Continuous+Interest']continuous interest calculator[/URL], we get: [B]29,556.22[/B]

Stock A is worth 4.5. Stock B is worth 8.0. Stock C is worth 10.0. She purchased half as many shares of B as A and half as many shares of C as B. If her investments are worth 660, how many shares of each stock does she own? Let s be the number of shares in Stock A. We have: [LIST=1] [*]A: 4.5s [*]B: 8s/2 = 4s [*]C: 10s/4 = 2.5s [/LIST] Value equation: 4.5s + 4s + 2.5s = 660 Combining like terms: 11s = 660 Using the [URL='http://www.mathcelebrity.com/1unk.php?num=11s%3D660&pl=Solve']equation calculator[/URL], we get [B]s = 60[/B] for Stock A Stock B shares is equal to 1/2A = [B]30[/B] Stock C shares is equal to 1/2B = [B]15[/B]

Suppose that 25400 is invested in a certificate of a deposit for 3 years at 6% annual interest to be compounded semi annually how much interest will this investment earn? 3 years, compounded semi-annually, gives us 3 x 2 = 6 periods. [URL='https://www.mathcelebrity.com/compoundint.php?bal=25400&nval=6&int=6&pl=Semi-Annually']Using our balance with interest calculator[/URL], we get [B]$30,328.93[/B]

What is the simple interest accrued from a $500 investment at 7% interest for 5 years? Using our [URL='http://www.mathcelebrity.com/simpint.php?av=&p=500&int=7&t=5&pl=Simple+Interest']simple interest balance calculator[/URL], we get $175 in simple interest earned.

You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2% or the interest on $100,000 invested for 5 years at an interest rate of 2% compounded daily. Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments [URL='http://www.mathcelebrity.com/simpint.php?av=&p=100000&int=2&t=5&pl=Simple+Interest']Simple interest balance after 5 years[/URL] at 2% is $110,000. [URL='http://www.mathcelebrity.com/compoundint.php?bal=100000&nval=1825&int=2&pl=Daily']Daily compounded interest for 5 years[/URL] at 2% is 365 days per year * 5 years = 1,825 days = [B]$110,516.79 Compound interest earns more by $110,516.79 - $110,000 = $516.79[/B]

Your friend deposits 9500$ in an investment account that earns 2.1% annual interest find the balance after 11 years when the interest is compounded quarterly 11 years * 4 quarters per year = 44 quarters Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=9500&nval=44&int=2.1&pl=Quarterly']compound interest with balance calculator[/URL], we have: [B]11,961.43[/B]