How do I find the present value of a short position zero coupon bond?
467767
It is slightly tricky unless you have access to Reuters or Bloomberg information systems, but you need to get the "zero coupon" interest rate corresponding to the time period in question.  If  you are in the US, you are in the lucky situation of having long and short term rates about the same level, so you can just use the Treasury yield.  \n\nOnce you get this rate (check out Yahoo finance) you use this equation:\n\ndiscount_factor = 1/(1+r/2)^(2*t)\n\nwhere r is the rate (in the form .05 for 5% for example) and t is the number of years to maturity of your zero coupon bond.  \n\nNote that in derivative world, professionals will often price off of LIBOR, which is fairly close to treasury rates right now.  I am assuming the issuer of this bond is a very good credit.  If they are a bad credit, like GM, then you would need to add their credit spread to the rate "r" to get the right number.\n\nFinally, to get the answer, if the face amount of the zero coupon is say $1 million then you would multiply this number by the discount_factor (which is always less than one).
436879
What kind of bond is it?  These days they sell EE Series but those were not available in 1950.  Assuming it was an E Series, it is worth $294.12.  If you hold them past the maturity date, they still accrue interest which is why it is so worth more than its $50 face value.\n\nOne more note to add...this bond would have stopped accruing interest in 1990, so there's no point in holding onto it even longer, hoping it will be worth more.
169339
Because the future cash flow (the repayment) for a long-term zero coupon bond is discounted over a longer period of time. This will result in a greater fluctuation in price market interest rates change.\n\nFor example, assume bond A is a $100,000 zero coupon bond that matures in one year. Assume the bond is sold when market rates are 5%. This would mean that the bond price is about $95,238 (100,000/1.05). If, a few minutes after it was sold interest rates jumped to 10%, the bond price would fall to to $90,909 (100,000/1.10).\n\nAssume that bond B is a $100,000 zero coupon bond that matures in 10 years. Assuming the same rates above, the bond would have a selling price of $61,391 (100,000/(1.05)^10). However, when rates rise to 10%, the bond's price would plummet to $38,554 (100,000/(1.10)^10).\n\nNotice how much more sensitive the long-term bond is to changes in interest rates. Its price changes dramatically.
1153812
I think you can just go to YahooFinance and find prices for the history of a stock.  Good luck.
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.
843740
go there : http://moneycentral.msn.com/detail/stock_quote?Symbol=nok
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!
1148875
The *right* way to figure this out is to use an algebraic\nformula, but I think it's easier to visualize if you use a\nspreadsheet.\n\nIt's slightly difficult to present a table in Yahoo Answers\nbecause everything is jammed hard against the left\nmargin.  [I'm not sure why that's a feature.]  To help\nreduce the column misalignment, I displayed all of the\nnumbers with a constant width (ie. with leading zeros\nwhen necessary).  Bottom line is that you'd have\n$30344.87 at the end of eleven years.\n\nYear == years since start of account (in half year increments)\nRate == interest rate\nBalance == running balance of account\nInterest == interest payment for previous 6 months\n\n\nYear    Deposit     Rate   Balance  Interest\n\n00.00    820.00     0.000  00820.00   0000.00\n00.50    820.00     1.050  01681.00   0041.00\n01.00    820.00     1.050  02585.05   0084.05\n01.50    820.00     1.050  03534.30   0129.25\n02.00    820.00     1.050  04531.02   0176.72\n02.50    820.00     1.050  05577.57   0226.55\n03.00    820.00     1.050  06676.45   0278.88\n03.50    820.00     1.050  07830.27   0333.82\n04.00    820.00     1.050  09041.78   0391.51\n04.50    820.00     1.039  10214.41   0352.63\n05.00    820.00     1.039  11432.77   0398.36\n05.50    820.00     1.039  12698.65   0445.88\n06.00    820.00     1.039  14013.90   0495.25\n06.50    820.00     1.039  15380.44   0546.54\n07.00    820.00     1.039  16800.28   0599.84\n07.50    820.00     1.039  18275.49   0655.21\n08.00    820.00     1.039  19808.23   0712.74\n08.50    820.00     1.039  21400.76   0772.52\n09.00    820.00     1.039  23055.38   0834.63\n09.50    820.00     1.039  24774.54   0899.16\n10.00    820.00     1.039  26560.75   0966.21\n10.50    820.00     1.039  28416.62   1035.87\n11.00    820.00     1.039  30344.87   1108.25\n\nAdditional comment:\n\nOh man, I messed this up.  Thanks to "Mark Taranto"\nfor catching and correcting my mistake.  \n\nI took yet another look at this and want to\nwork through it carefully.  We appear to have\nas many different answers as there are people\nsubmitting solutions.\n\nOn day 1, Joanne put in $820, so that's her's balance.\n\nAfter 1/2 year, the bank would add half of 5% interest,\nwhich is 820*.025 = 20.50 and Joanne would add another \n$820.  So after six months, she would have:\n\n$820 + $20.50 + $820 = $1660.50\n\n\nAfter one year, the bank will again add half of 5% as\ninterest, which would be $1660.50 * 0.025 = $41.51.  \nThen Joanne would add $820, so the new total would be:\n\n$1660.50 + $41.51 + $820 = 2522.01\n\nContinuing this process in the spreadsheet, the\nfinal result after 11 years is:\n\n$23809.46\n\nThe corrected spreadsheet follows:\n\nYear  Deposit  Rate    Balance  Interest\n\n00.0  820.00  0.0000  00820.00  000.00 \n00.5  820.00  0.0250  01660.50  020.50\n01.0  820.00  0.0250  02522.01  041.51\n01.5  820.00  0.0250  03405.06  063.05\n02.0  820.00  0.0250  04310.19  085.13\n02.5  820.00  0.0250  05237.94  107.75\n03.0  820.00  0.0250  06188.89  130.95\n03.5  820.00  0.0250  07163.62  154.72\n04.0  820.00  0.0250  08162.71  179.09\n04.5  820.00  0.0250  09186.77  204.07\n05.0  820.00  0.0195  10185.92  179.14\n05.5  820.00  0.0195  11204.54  198.63\n06.0  820.00  0.0195  12243.03  218.49\n06.5  820.00  0.0195  13301.77  238.74\n07.0  820.00  0.0195  14381.15  259.38\n07.5  820.00  0.0195  15481.59  280.43\n08.0  820.00  0.0195  16603.48  301.89\n08.5  820.00  0.0195  17747.24  323.77\n09.0  820.00  0.0195  18913.31  346.07\n09.5  820.00  0.0195  20102.12  368.81\n10.0  820.00  0.0195  21314.12  391.99\n10.5  820.00  0.0195  22549.74  415.63\n11.0  820.00  0.0195  23809.46  439.72
210542
Assuming the face value of the bond is $1,000...\n\nYour price will equal the discounted value of the bond plus the discounted value of the interest payments.\n\nDiscounted face value = face value/((1+YTM)^periods)\n                      = 1000/((1.06)^3)\n                      = $839.62\n\nTherefore, the discounted value of the interest payments will be = price - discounted face value\n        = $1,053.46 - 839.62\n        = $214.14\n\nThe discounted value of the interest payments is equal to 3 annual payments of ($1,000 * X, where X is your coupon rate), discounted at the YTM of 6%.  The formula is\n$214.14 = PV(6%,3,$1000*X)\n\nYou can solve for X using Excel or a good financial calculator.  The answer is just about 8%.
252849
Here is an example of both a present and future value equation:\n\nIt makes it easier the first few times to actually do each payment individually and then add them all up just to conceptualize it, then you can use the formula later as you understand what it is telling you to do:\n\nStart with the easiest Future Value:\n\nFV= PV(1=i)^n\n\nread as future value equals the present value times 1times the interest rate to the nth power where n equals the number of frequencies.  It is of course vital then to have an interest rate to use so that for example if you want to find the future value of 100 at 5% interest in five years the expression looks like this:  FV= 100(1+.05)^5\nThe long version would be: this:\n\nat the end of one year you have 100(1.05)=100p + 5i or 105\nyear 2 you have (dont forget, you have 105 bucks now) 105(1.05)=110.25 and so on......you would then continue to take your future value (110.25 and add the next years interest to it until you did this five times until you arrived at approximately 127.63.\n\nOkay, now for PV:\n\nPV= FV(1+i)^-n\n\nnow you would work this function backwards so that you solve for PV as follows:  PV=212714(1.05)^-5.\n\nYou can apply the same logic as above and get a payment stream and find out what you are left with.\n\nUsing a financial calculater you may use something such as FV=212714, I=5,N=5 then tell it to compute the present value.\n\nUnderstanding the concept is relatively easy once you write it out and look at it.  I hope this helps.  Using a website or calculator is nice but if you don't understand how it arrived at the number its no good to you anyway because what if you input a number wrong?  You wouldnt know because you have no logical background to draw from.
1170429
go to yahoo finance.  If you know the symbol for the company key it into the space where it says "get quotes".  If you do not know the symbol, click on the words "symbol lookup". Unfortunately, you have to know how to spell the name of the company.  After you find the symbol, key it in and there will be displayed the price of one share of stock.  For example, Microsoft, MSFT, last trade $21.92;  Bank America, BAC, $48.79
70218
The easiest and least inexpensive way is to use one of the various financial sites that monitor the market.  They all offer some form of portfolio tracker.  All you have to do is enter the ticker symbol and they will virtually do the rest.  If you check it on a daily basis, as long as you've calculated the mean purchase price, the portfolio tracker will give you your daily value.\n\nExcel is even a greater tool if you want to do graphical functions because it gives you a greater control of formulas and numerical values.
103389
Under straight line method,\nAnnual Depreciation = (Cost - Salvage Value)/Life time\nHere \nAnnual Depreciation = (30,000 - 2,000)/4\n                    = 28,000/4\n                    = $ 7,000 \n\n\nhttp://www.futureaccountant.com/\nhttp://www.schoolingkids.com/
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!
1168169
Goose is right. The formula is:\n\nFV = P x e^(r x y) \n\nwhere FV = Future Value; P is your principal, r is the annual interest rate and y is the number of years of continuous compounding and e = lim(n-->inf) of (1+1/n)^n\n= 2.7182818.(about)\nHere's link which explains it quite well and also has a periodic/continuous calculator to fool around with.\n\nhttp://www.moneychimp.com/articles/finworks/continuous_compounding.htm
178061
US Treasury bond is calculated using a compound interest method.  This means that the interest that you receive on your US Treasury bond for any given year is the stated interest rate multiplied by the sum of the principal and the cumulative interest that you have earned but not received in the preceding years.
1070468
Mutiply $28 by 0.30, then subrtact 28 again, and that should tell you how much it is. ($19.60. It will come up as -19.60 though, just ignore the negative)