
Personal Finance: Turning Money into Wealth (7th Edition) (Prentice Hall Series in Finance)
7th Edition
ISBN: 9780133856439
Author: Arthur J. Keown
Publisher: PEARSON
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Question Three
A company needs $10,000 in 5 years to replace a piece of equipment. How much must
be invested now at an interest rate of 8% p.a. compounded daily in order to provide
for this replacement?
Year
Free Cash Flow (FCF)
0
-$17,000,000
1
$4,980,000
2
$4,980,000
3
$4,980,000
4
$4,980,000
5
$6,980,000
The Net Present Value at a discount rate of 15%:
Present Value (PV) for each year:
PV(Year 1) = $4,980,000 ÷ (1 + 0.15)^1 = $4,330,435.
PV(Year 2) = $4,980,000 ÷ (1 + 0.15)^2 = $3,765,590.
PV(Year 3) = $4,980,000 ÷ (1 + 0.15)^3 = $3,274,426.
PV(Year 4) = $4,980,000 ÷ (1 + 0.15)^4 = $2,847,328.
PV(Year 5) = $6,980,000 ÷ (1 + 0.15)^5 = $3,477,617.
Sum of PVs = $4,330,435 + $3,765,590 + $3,274,426 + $2,847,328 + $3,477,617 = $17,695,396.
Initial Investment = $17,000,000.
NPV = Total PV - Initial Investment = $17,695,396 - $17,000,000 = $695,396.
Calculate The Internal Rate of Return
Please solve this question by using appropriate method.
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