finding simple interest. A 360-day year Round result to nearest cent.\n$49,417 at 7.7% for 17 months
135705
Write into the cell 49,417*1.077^x\nx is how many months
378891
Use a mortgage calculator because it's very hard to figure out compound interest manually - it's compounded every month, but also reduced by the amount you pay (assuming you make monthly payments) so you can't just multiply the principal ($4,327.77) by 10%\n\nIf you're not making monthly payments, then use an investment calculator.
449773
I = Prt, \nwhere  I = interest, P = principal, r = interest rate and t = number of years\nP = 770, r = 3% = .03 and t = 9\nI = 770(.03)(9)\nI = 207.90
161981
straight line = 150,000 (200,000 * 1/12 *3 years)\ndouble-declining = 115,740.75 (1/12 * 200% = 16.66%)\n\n200,000*16.66% = 33,333.33\n166,666*16.66% = 27,777.77\n138,888*16.66% = 23,148.15\n\nAccumulated depreciation after 3 years = 84259.25\n200,000-84259.25=115,740.75\n\nAny more homework you need done, ha!
15009
Compound Interest= Principal Amount{1+(rate of intersest/100)^Numebr of years}\nFor you it will be\n21000=5000*(1+r/100)^5\n=>4.2=(1+r/100)^5\n=>1.33=1+r*0.01\n=>r=33%
456345
7years*12 months=84\n84months* 200/month=16800\n16800+4500 in the bank= 21300\n21300*4%=$852\n852+21300=22152\nso you answer is $22,152
152445
The formula for simple interest is\n\nInterest = Principle * rate * time\n\nI = $3500 * 0.08 * (15/12) = $350     in 15 months\n\nSo the future value of the loan would be $3500 + $350 = $3850.\n\nSimple interest is rarely used in society these days. All bank interests are continually compounded.
507695
define i = apr/12\nP = quantity (principle)\nn = time (months in this case)\n\nThe calculation formula for payments is\n\np = iP/(1-1/((1+i)^n))\n\nplugging in the numbers,\n\np = (0.01/12)(17,500)/(1 - 1/((1+0.01/12)^72))\n\nOh, if you just want future amount at compound interest, \n\nA(i,n) = A(1+i)^n\n\nA = 17,500(1+0.01/12)^72
496592
Original investment = $6,400\nDecrease % = 8.2\nDecrease = (8.2*6400)/100\n                 = 52480/100\n                 = $524.80\nValue at the end of the year = $6400-524.80\n                                             = $5875.20
238369
7% - I used Excell to calculate an interest rate.
45688
Considering annual coupon payment, it works out to be 6%.\nFormula is    Rate of Interest = (Interest X 10) / (Principal X No. of years)  = 6000/1000 = 6\n\nReal rate of return = Nominal return - inflation rate\nwork out ... results will be 4,2,0,-2
569209
2*2*30*1.97 dollars.  Use a calculator for the rest.  Typically when they don't tell you which months, it's assumed that they are 30 days long.
152128
Hi there again - just answered your other annuity question.\n\nI'm assuming you are accumulating it up to the END of year 5. \n\nI'm also assuming that by an ordinary annuity you mean one where the payments are made at the END of each year (so at times 1, 2, 3, 4, 5 in this case).\n\nFrom scratch you could calculate it as follows:\n\n300×1.07^4 + 300×1.07^3 + 300×1.07^2 + 300×1.07 + 300\n\nAs the first $300 is paid at time 1 (end of year 1) and accumulated 4 years to time 5. The 2nd $300 is paid at time 2 (end of year 2) and so is accumulated 3 years to time 5. And so on.\n\nThis gives a value of $1,725.22 (to the nearest cent).\n\nThe quicker way is to use the accumulated value of an annuity formula which (for $1 a year) is:\n\n[(1 + i)^n - 1]/ i\n\nSo (1.07^5 - 1)/ 0.07 = 5.750739...\n\nSo for $300 a year it is $300 × 5.750739... = $1,725.22\n\nThis formula is found in Actuarial Science courses. \n\nNote that it is less than your annuity due question as the payments are received later and so are invested later - hence less interest is received.
37457
for question 1 is the return 8.242% per year? I would guess yes, so you would multiply 1.08242 to the 30th power times 10000. \n\nWhat you are doing here is to multiply 10,000 times 1.08242, (add the one to keep the 10000 plus interest, if you dont add the one you are only calculating the interest and have to add back in the 10000) to get how much at the end of year one, then multiply that result by 1.08242 to get what you have at end of year 2. Then keep doing that until at the end of year 30.\n\nThe second question is a bit more difficult. Take that spreadsheet and fill in the values at the top. make your begining value 10000 and the annual payment 0. Not sure what value to use for confidence (I am sure you know what to use here) and the other two were given return = 8%, deviation=10%. After 30 years you will have a lower and an upper limit. \n\nYou then take answer from #1 and find out how far into the range it is to find the percent liklihood. For example if the lower limit was 100 and the upper limit was 300 and your number calculate in #1 was 150, then you can see that 150 is greater than 25% of the possibilities and less than 75%. So you would do worse 25% of the time.\n\nThe actual calulation would be:\nU = Upper limit\nL = lower limit\nR = range = U - L\nC = compared value = answer from #1\n\npercent worse = (C-L)/R\n\nin the example percent worse = (150-100)/(300-100)
348033
Is 7% the annual interest rate?  If so, then over 60 days, that interest rate would be 7% * 60/365 = apx. 1.15%.  Divide your interest earned by that interest rate to determine your principal:\n\n54,509 / .01150685 = $4,737,091
415095
Interest = Principal X Rate\nRate = Interest / Principal\nRate = 275 / 2500 = .11 = 11%
521121
1. 50 x (.35)=17.5  \nExplanation %=((part of)/whole )x100\nso part of=whole (%/100)\n2. 40 (.82)=32.8 (33)\nSame as above\n\n3. (1.75 -1.5)/1.5=.166 16.6%\nExplanation again %=((part of)/whole )x100\nIn this case the original whole is 1.5 \n\n4. (12000-8500)/12000=.291 0r 29.1%\nIn this case the original whole is 12000 \n\n5. 20/1.75=11.43\nHere is a bit tricky x(1+%/100)=the new whole (interesting term ha?) or the original whole + increase = the new whole :)\n\n6.2000(1+.04) (1+.04)=2163.2 (made a mistake earlier)\n\n\nyear 1  principal + % or earned interest (1)\nyear 2  principal + % or earned interest (1) +(principal + % or earned interest (1) %)