131k views
3 votes
Find the present value pv of the given investment. an investment earns 2% per year and is worth $40,000 after 8 years.

User Valaer
by
7.9k points

1 Answer

0 votes
First use the formula of the future value of an annuity ordinary to find the yearly payments
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value 40000
PMT yearly payment?
R interest rate 0.02
N time 8 years
Solve the formula for PMT
PMT=Fv÷[(1+r)^(n)-1)÷r]
PMT=40,000÷(((1+0.02)^(8)−1)
÷(0.02))
=4,660.39

Now use the formula of the present value of an annuity ordinary to find the present value
Pv=pmt [(1-(1+r)^(-n))÷r]
PV present value?
PMT yearly payments 4660.39
R interest rate 0.02
N time 8 years
Pv=4,660.39×((1−(1+0.02)^(−8))÷(0.02))
pv=34,139.60. ....answer
User Kinjal Dixit
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories