In: Finance
Q1) Suppose you invest $104,105 today in an account that earns 08.00% interest annually. How much money will be in your account 10 years from today?
Q2) What is the value today, of single payment of $28,298 made 17 years from today, if the value is discounted at a rate of 25.00%?
Q3) How many years would it take an investment of $763 to grow to $11,610 at an annual rate of return of 18.00%? Q4) How much money would you need to deposit today at 11.00% annual interest compounded monthly to have $25,815 in the account after 4 years?
Q5) If you deposit $438 into an account paying 20.00% annual interest compounded quarterly, how many years until there is $89,767 in the account?
Q6) If you deposit $97,611 at 09.00% annual interest compounded quarterly, how much money will be in the account after 14 years?
Q7) If you deposit $1,942 into an account paying 14.00% annual interest compounded monthly, how many years until there is $35,419 in the account?
Q8) What is the value today of receiving a single payment of $25,732 in 10 years if your required rate of return on this investment is 04.00% compounded semi-annually?
Q9) If you deposit $282 at 17.00%annual interest compounded daily, how much money will be in the account after 13 years? (Assume that there are 364 days in a year)
Q10) Suppose you deposit $399 today, $661 in one year, and $727 in two years in an account that pays an annual rate of interest of 18.00%. How much money will be in the account after three years?
1- |
Fv = PV*(1+r)^n |
104105*(1.08)^10 |
224754.8868 |
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2- |
PV = fv/(1+r)^n |
28298/(1.25)^17 |
637.2143113 |
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3- |
time Period |
Using nper function in MS excel =nper(rate,pmt,pv,fv,type) |
NPER(18%,0,-613,11610,0) |
17.77 |
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4- |
Present value |
Using present value function in MS exel =pv(rate,nper,pmt,fv,type) |
PV(11%/12,48,0,25815,0) |
($16,659.16) |
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5- |
time Period in quarter |
Using nper function in MS excel =nper(rate,pmt,pv,fv,type) |
NPER(18%,0,-613,11610,0) |
109.09 |
27.27 |
Years |
6- |
FV = pv*(1+r)^n |
Using Future value function in MS exel =Fv(rate,nper,pmt,pv,type) |
FV(9%/4,14*4,0,-97611,0) |
$339,347.38 |
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7- |
time Period in months |
Using nper function in MS excel =nper(rate,pmt,pv,fv,type) |
NPER(14%/12,0,-1942,35419,0) |
250.32 |
20.86 |
Years |
8- |
PV |
Using present value function in MS exel =pv(rate,nper,pmt,fv,type) |
PV(4%/2,20,0,25732,0) |
($17,316.90) |
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9- |
FV = pv*(1+r)^n |
Using Future value function in MS exel =Fv(rate,nper,pmt,pv,type) |
FV(17%/364,364*13,0,-282,0) |
$2,569.31 |
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10- |
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Year |
amount deposited |
future value = pv*(1+r)^n-0, pv*(1+r)^n-1…….. pv*(1+r)^n-n |
future value |
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1 |
339 |
339*(1.18)^3 |
472.0236 |
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168 |
2 |
661 |
661*(1.18)^2 |
920.3764 |
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3 |
727 |
727*(1.18)^1 |
857.86 |
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Future value at the end of year 3 |
2250.26 |