Determine the yield to maturity?
538176
The answer is D = 12%.\n\nThe way to do the math is with the following assumptions:\n\nPresent value = 404 (given)\nFuture value = 1,000 (par)\nPayment = 0 (zero coupon bond)\nNumber of time periods = 8 (given)\n\nSolve for the interest rate.\n\nThe way to check your answer is simply to use the equation:\n404 * (1.12) ^ 8 = $1000 so we know that 12% is correct!
459426
For compound Interest.\nA = a*(1+p/n)^(y*n)\n\nA = Final amount\na = Original amount\np = interest percentage (in this case = 6.5/100)\nn = no of times calculated/year\ny = no of years\n\n18000 = 9000(1.0325)^2y\n2 = 1.0325^2y\n\ny = [Log(with base 1.0325) 2] / 2\n\nRemembered anohter thing to help...Change of base rule\n\nlogx(b) = loge(b) / loge(x)\n\nSo next step would be..\n\ny = [ln(2) / ln(1.0325)]/2\n  = 10.836\n~~ 11 yrs
384122
Choose x to stand for the amount invested at 10%.  The remaining amount would be 15,000 - x.  It's invested at 6%\n\nChange the percents to decimals, multiply them by their amounts, and add them up to get the total interest:\n\n.10(x) + .06(15000 - x) = 1260\n\nDistribute the .06: .10x + 900 - .06x = 1260\n\nCombine like terms: .04x + 900 = 1260\n\nSubtract 900 from both sides:  .04x = 360\n\nDivide both sides by .04: x = 9000\n\nFind the other number:  15000-9000=6000\n\nSo, $9000 at 10% and $6000 at 6%.\n\nHope that makes sense!
574778
first, start with how much money you have, then find the rate, and the time\n\nfor example:\nI have $20,000, at a rate of 12% for 36 months. The interest would be $20,000 times .12 times 36.
990026
You want to find how long the contract is for.  Using the compound interest formula,\nA(t) = A (1+r/n)^(nt) where A(t) is final value, A is starting value, r is interest rate, n is number of times interest is counted in a year, t is number of years. In this case we want to figure t.  Thus,\n\n(15000+1684.65) = 15000(1+.074/2)^(2)(t)\n16684.65 = 15000(1+.074/2)^(2)(t)\n16684.65/15000 = (1+.074/2)^(2)(t)\n1.11231 = (1+.074/2)^(2)(t)\n1.11231 = (1.037)^(2t)\nln (1.11231) = (2t) ln (1.037) \n2t = ln (1.11231) /ln (1.037) \n2t = 2.93\nt = 2.93/2 \nt = 1.47 \nSo the term of the contract is 1.47 years or almost one and half year.
819834
if interest is compounded daily, don't forget to...\n\n1.  divide 5.16% by 365 to get the daily rate\n2.  use 30 days as your period "n"\n3.  don't use the avg daily balance.  you must use the initial principal balance at the beginning of the 30 day period.\n\ni haven't worked it out, but if your formula is correct, the future value will work.\n\nif you have a business calculator (preferrably from HP)\n\nPV = initial principal balance\ni = 5.16% divided by 365 days\nn = 30 days\n\nsolve for FV
672493
IRR=PV/(1+K)^n=0\n\nPV=Present Value of the Investment\nK=Rate of interest in\nn=number of years
625531
The formula is\nA = Pe^(rt), where A is the amount returned, P is the original amount, r is the interest rate, and t is the number of years.\nP = 2000\nr = 2% = .02\nA = 2000e^(.02t)\n"How long will it take?" means you are looking for t.\nIn order to find t, you will need to know A.
539778
If you're looking to find the present value of a single sum, that has accrued interest at a specific rate, the equation is:\n\nPV=amount / (1+i)^n\n\n\nEx: An amount of $350,000 with 12% interest for five periods(or years)\n\nPV=350,000 / (1+.12)^5\nPV=$198,599.39\nAn amount today of $350,000 that had been growing for 5 years at 12%, was $198,599.39 five years ago.
289683
discounting factors for an interest rate of 8% \nat the end of  year 1 - 100/108 or 1/1.08 = 0.9259\nat the end of  year 2 - 1/1.1664 = 0.8573\nat the end of  year 3 - 1/1.2597 = 0.7938\n\n1.08, 1.1664, 1.2579 compound amounts at the end of year 1,2,3\n\nExpected Cash Flows\n\nDiscounting Factor.. 0.9259\nYear 1 Cash Flow .....$300...$500...$700\nYear 1 Dis Cash Flow..$278...$463...$648\nDiscounting Factor..0.8573.\nYear 2 Cash Flow .....$100...$200...$600\nYear 2 Dis Cash Flow..$86....$172...$514\nDiscounting Factor....0.7938\nYear 3 Cash Flow .....$200...$800...$900\nYear 3 Dis Cash Flow..$159...$635...$714\n\nYear 1\nDisc Cash Flow (x)..278...463...648\nProb P(x)...........0.3....0.4...0.3\nx.P(x) {px}.........83.4--185.2--194.4\n\nExpected Cash Flow in the first year = Sum(px)= $463\n\nYou should be able to calculate the rest..\n\nhttp://www.futureaccountant.com/probability/\n\nhttp://www.schoolingkids.com/
328872
It depends upon your investing time horizon and which country you are in.  If you are in the US then US treasury bond yields can be used, but you need to find the one which corresponds to the period of time you are talking about. If you are in the UK then you neeed to find the gilt yields.  Gilts are UK government bonds and you can find this easily in the FT.  Right now in the US and other places the short term and long term rates are quite similar, so if you can tell which time horizon is being referred to, you aren't making a huge error.  This is referred to as a "flat yeld curve".  Normally (speaking historically) the long term rates are higher than the short term rates.
774657
Total = P * (1 + r)^t = $1762.34\n\nGeneral formulation:\nP * (1 + r/c)^(t*c)\nP = initial principle\nr = rate/yr in decimal.\nt = # of years\nc = # of periods that is compounded in a year
360583
OK, so the annual dividends are:\n\nTime 1   $5\n     2   $5×1.15\n     3   $5×1.15²\n     4   $5×1.15²×1.06\n     5   $5×1.15²×1.06²\n     6   $5×1.15²×1.06³\n     7   $5×1.15²×1.06³\n     etc\n\nDiscounting the first 5 payments:\n\n\n5v + 5×1.15v² + 5×1.15²v³ + 5×1.15²×1.06v^4 + 5×1.15²×1.06²v^5\n\n= 4.6296 + 4.9297 + 5.2492 + 5.1520 + 5.0566\n\n= 25.0172\n\nNow the PV of teh remaining payments is:\n\n 5×1.15²×1.06³( v^6 + v^7 + ...)\n=5×1.15²×1.06³v^6 (1 + v + v² + ...)\n\nInside the brackets is an infinite geometric series with first term a = 1 and common ratio r = v.  Using the sum to infinity formula, a/(1-r), we get:\n\n1/(1 - v) = 13.5\n\nMultiplying this by the  5×1.15²×1.06³v^6 bit is:\n\n13.5 × 4.9630 = 67.000\n\nHence the total PV is:\n\n67.000 + 25.017 = 92.017\n\nSince the share value should be the PV, we get $92.02\n\nHope this helps!
837287
Interest rate = 3.8% per annum\n= 1.9% per half year\n\nTime = 12 years = 24 half years \n\nUsing the compound Interest formula\n\nA = P(1 + r/100)^n\n\nA = $2400 (1.019)^24\n\n(= $3770.44 (nearest cent))\n\nNOTE If interest is paid at 3.8% per half year (ie 7.6% per annum),\nthen A = $2400 (1.038)^24\n\n(= $5874.19 (nearest cent))
358099
0.43 & 0.0062\n\nDivide by 100
224993
Current dividend yield Link 1\nPrices                 Link 2
823484
First, make a balanced equation:\n\n2H2 + 02 → 2H2O\n\nNow find the theoretical yield (use O2 because it's the limiting reagent):\n\n10.0 g O2 * (1 mol O2/31.9988 g O2) = 0.313 mol O2\n\n0.313 mol O2 * (2 mol H2O/1 mol O2) = 0.626 mol H2O\n\n0.626 mol H2O * (18.009 g/1 mol H2O) = 11.3 g H2O (this is the theoretical yield)\n\nPercent yield = (actual yield/theoretical yield) * 100\n\nPercent yield = (7.81/11.3) * 100\n\nPercent yield = 69.1%\n\n\n* Please vote my answer as the best since I went into greater detail.  Thanks.