. An investor anticipates receiving a single payment of $18,000 in 20 years. Assume an
opportunity cost of 10%, compounded annually. [11 points]
(a) Calculate the value of this investment now.(b) Apply the relevant financial function command (with each numerical value reported
in correct sequence) that would solve for the current value assuming semiannual
compounding.
a) | ||||
PV= FV/(1+r)^n | ||||
Where, | ||||
FV= Future Value | ||||
PV = Present Value | ||||
r = Interest rate | ||||
n= periods in number | ||||
= $18000/( 1+0.1)^20 | ||||
=18000/6.7275 | ||||
= $2675.59 | ||||
b) | ||||
PV= FV/(1+r)^n | ||||
Where, | ||||
FV= Future Value | ||||
PV = Present Value | ||||
r = Interest rate =10%/2 =5% | ||||
n= periods in number =20*2 =40 | ||||
= $18000/( 1+0.05)^40 | ||||
=18000/7.03999 | ||||
= $2556.82 | ||||
Get Answers For Free
Most questions answered within 1 hours.