Single cash flow

(PV) If you wish to accumulate $140,000 in 13 years, how much must you deposit today in an account that pays an annual interest rate of 14%?

 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$   $PV=FV/(1+r)^N=FV/(1+APR/m)^N$  

(a)  

(FV) What will $247,000 grow to be in 9 years if it is invested today in an account with an annual interest rate of 11%?
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$   $PV=FV/(1+r)^N=FV/(1+APR/m)^N$  

(a)  

(t=N) How many years will it take for $136,000 to grow to be $468,000 if it is invested in an account with an annual interest rate of 8%? $N=\log⁡(FV/PV)/\log⁡(1+r)=\log⁡(FV/PV)/\log⁡(1+APR/m)$ 
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$  

(a)  

(APR=r) At what annual interest rate must $137,000 be invested to grow to be $475,000 in 14 years? $APR=r*m=((FV/PV)^(1/N)-1)*m$ 
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$  

(a)  

(PV) If you wish to accumulate $197,000 in 5 years, how much must you deposit today in an account that pays a quoted annual interest rate of 13% with semi-annual compounding of interest?
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$   $PV=FV/(1+r)^N=FV/(1+APR/m)^N$  

(a)  

(FV) What will $153,000 grow to be in 13 years if it is invested today in an account with a quoted annual interest rate of 10% with monthly compounding of interest?
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$   $PV=FV/(1+r)^N=FV/(1+APR/m)^N$  

(a)  

(t=N/12) How many YEARS will it take for $197,000 to grow to be $554,000 if it is invested in an account with a quoted annual interest rate of 8% with monthly compounding of interest?$N=\log⁡(FV/PV)/\log⁡(1+r)=\log⁡(FV/PV)/\log⁡(1+APR/m)$ 
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$  

(a)  

(APR=r*52) At what quoted ANNUAL interest rate must $134,000 be invested so that it will grow to be $459,000 in 15 years if interest is compounded weekly? $APR=r*m=((FV/PV)^(1/N)-1)*m$ 
 $FV=PV*(1+r)^N=PV*(1+APR/m)^N$  

(a)