find the annual percentage rate for an investment that earns 6% per year compounded quarterly?
956388
If you compound the interest (add the interest earned back into the principle) once a year, you get 6%. If you stop every three months, add the interest into the principle and start again, you'll have more money at the end of the year by accruing interest on the interest earned-to-date. \n\nSay 6% per year, works out to 1.5% for one quarter. Instead of investing $100 for a year, you invested $100 for one quarter and made $1.50. Then next quarter, you invest $101.50, by the third quarter you have $104.57, and at the end of the year you have $106.14. Because you invested the interest earned too. In finance, money*time = more money, so it's better to get your earnings ASAP instead of at the end of the year (e.g. daily compounding).
361168
$1860\n\n31000 dividend by 100 muliply by 6
758729
36.6-30=6.6 Profit\n6.6/30= 22% profit.
303815
Bond pays out 7% of $5,000 24 times in 12 years remaining of its life. = $8.400. Viewed as a return on an investment of $3800 this is anominal rate of (700/3800) x 100 % p.a, = 700/38 = 18.4% p.a.
246324
The simplest way is to multily by 12.  While that doesn't give the exact rate, it is generally close enough.  For deposits, (savings accounts or money markets) rates are usually expressed in APY (annual percentage yield).  So a money market paying 6% APY would have a 0.5% monthly yield, if interest is compounded monthly.\n\nFor loans, most lenders calculate interest by assuming that each month has 30 days and each year has 360 days.  That makes each month have the same interest.  To get the actual annual rate, you would divide the monthly rate by the number of days in the month (31 for march) and multiply by the number of days in the year (365).  But the result is so close that it's usually good enough to just multiply by 12.
377198
Formula:\n\n\n\nP is the principal (the initial amount you borrow or deposit) \n\nr is the annual rate of interest (percentage)\n\nn is the number of years the amount is deposited or borrowed for.\n\nA is the amount of money accumulated after n years, including interest. \n\nWhen the interest is compounded once a year: \n\nA = P(1 + r)n \n\n\nHowever, if you borrow for 5 years the formula will look like: \n\nA = P(1 + r)5\n\nThis formula applies to both money invested and money borrowed.\n\nFrequent Compounding of Interest:\n\nWhat if interest is paid more frequently? \nHere are a few examples of the formula: \n\nAnnually = P × (1 + r) = (annual compounding) \n\nQuarterly = P (1 + r/4)4 = (quarterly compounding)\n\nMonthly = P (1 + r/12)12 = (monthly compounding)\n\n\nApprox. $716.43 I believe
889234
let x be the amt invested in stocks\nlet y be the amt in bonds\n.06x is amt annually from stocks\n.03y is amt annually from bonds\n.06x +.03y = 975\nx+y=18000\nsubstitution method x = 18000-y\n.06(18000-y) +.03y =975....distribute\n1080-.06y +.03y =975....combine like terms\n1080-.03y =975.....-1080\n-.03y = -105.....divide by -.03\ny = 3500\n18000-3500=x =14500\n3500 in bonds and 14500 in stocks\n\ncheck in words\n3500*.03 =105\n14500*.06=870\n870+105=975
833890
Interest = $400 x 6.5%\n            = $400 x 0.065\n            = $26\n\nAnswer: D. $26
848245
To calculate any rate of returns, just take the profit and divide it over the original amount. \nFor e.g. If you buy an investment at $1.00 and it went up to $1.05. The profit is $0.05. Take $0.05 and divide it over $1.00. You would get 0.05. That's a 5% return. \nHope this answers your question!
146461
$5000 saved in an account earning 4.75% yearly, compounded daily, will yield $243 in one year. If it's compounded daily, your monthly return will vary, but it averages out to $20.25 a month.\n\nDinkytown has the best free calculators anywhere, below:
1164552
Do you mean the present value of annuity of 1 per year, for 48 years, at 8% per year compounded annually?\n\n\n(1-(1/1.08^48))/0.08 = 12.19
724718
Amount after 1st 6 months \n= $ 2000 + 7%/2 of $2000\n= $2000(1 + 0.035)\n= $2000(1.035)\nAmount after 2nd six months \n= $2000(1.035) + 7%/2 of  $2000(1.035)\n= $2000(1.035)²\n= $2142.45
99025
Actually the answer provided by bluhawaii is incorrect.  It is only a "simple interest formula".  It does not take into account the compounding effect that occurs from the 5% raise being tacked on every year the 17 years.  Here are the correct numbers!\nYearEnd - Amount\n1- $52,500 \n2- $55,125 \n3- $57,881.25 \n4- $60,775 \n5- $63,814.08 \n6- $67,005 \n7- $70,355.02 \n8-$73,873 \n9-$77,566.41 \n10-$81,445 \n11-$85,516.97 \n12-$89,793 \n13-$94,282.46 \n14-$98,997 \n15-$103,946.41 \n16-$109,144 \n17-$114,600.92
259004
The formula for future value of an annuity is\nFV = pymt((1+i)^n - 1)/i\nwhere FV is the future value, pymt is the payment, i is the periodic interest rate, and n is the number of payments made.\npymnt = 4600\ni = .0873/4 = .021825 because it is quarterly\nn = 6(4) = 24 because you're making 4 payments a year for 6 years\nFV = 4600((1+.021825)^24 - 1)/.021825\n= 143099.60
846247
$65.36\n\n$76*0.86% = $65.36
118528
You didnt say whether you wanted your initial investment back. That is (a) do you want to receive $1600 per month which includes interest and repayment of capital? Like an annuity. Or (b) do you want $1600 per month interest and then repayment of your investment capital at the end of 3 years? \n\nFor (a) you'd need $50,000 and for (b) $192,000\n\nAlso I have presumed by 10% you mean per annum rather than for the whole term.
742272
An Interest Rate of 5.000 % compounded Annually\nWith an Initial Amount of $ 4000.00 over an 8 year term:\n\nYr   Ending Balance\n1    4200.00\n2    4410.00\n3    4630.50\n4    4862.02\n5    5105.13\n6    5360.38\n7    5628.40\n8    5909.82\n\nFinal Savings Balance: $ 5909.82\nInitial Investment plus Monthly Contributions: $ 4000.00\nTotal Interest Earned: $ 1909.82\n\nThis should answer your specific question, however, please know that most banks compound interest daily in that scenario you would have earned $ 1967.13 for a total of $5967.13.\n\nHope this helps!