A firm evaluates all of its projects by using the NPV decisi

A firm evaluates all of its projects by using the NPV decision rule. Year Cash Flow 0 –$27,000 1 24,000 2 16,000 3 9,000 Required: (a) At a required return of 24 percent, what is the NPV for this project? (b) At a required return of 37 percent, what is the NPV for this project?

Solution

(a) NPV at a required return of 24%

Net Present Value (NPV) = PV of inflows - PV of Outflows

= (19354.84+10405.83+4720.39) - 27000

= 7481.05

(b) NPV at a required return of 37%

Net Present Value (NPV) = PV of inflows - PV of Outflows

= (17518.25+8524.69+3500.10) - 27000

= 2543.05

use the equation 1/(1+i)^n to find PVF

Year Cashflow PVF@24% Cashflow*PVF
0              (27,000) 1 (27,000.00)
1                24,000 0.806           19,354.84
2                16,000 0.650           10,405.83
3                  9,000 0.524    4720.39
A firm evaluates all of its projects by using the NPV decision rule. Year Cash Flow 0 –$27,000 1 24,000 2 16,000 3 9,000 Required: (a) At a required return of 2

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