Question

Present and Future Values of Single Cash Flows for Different Interest Rates

Use both the TVM equations and a financial calculator to find the following values. Round your answers to the nearest cent. (Hint: Using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in parts b and d, and in many other situations, to see how changes in input variables affect the output variable.)

1. An initial $200 compounded for 10 years at 9.2 percent.
   $   
   
2. An initial $200 compounded for 10 years at 18.4 percent.
   $   
   
3. The present value of $200 due in 10 years at a 9.2 percent discount rate.
   $   
   
4. The present value of $200 due in 10 years at a 18.4 percent discount rate.
   $  

Answer 1

A: Fv= PV*(1+r)^n

=200*1.092^10

=$482.23

Using financial calculator

Input: PV = -200, r= 9.2%, n=10

Find FV as $482.23

B: Fv= PV*(1+r)^n

=200*1.184^10

=$1082.80

Using financial calculator

Input: PV = -200, r= 18.4%, n=10

Find FV as $1082.80

C: PV= FV/(1+r)^n

=200/1.092^10

=$82.95

Using financial calculator

Input: FV = 200, r= 9.2%, n=10

Find PV as $82.95

D: PV=FV/(1+r)^n

=200/1.184^10

=$36.94

Using financial calculator

Input: FV = 200, r= 18.4%, n=10

Find PV as 36.94