Answer: Net present value = $446,556
Explanation:
First we'll compute the Weighted Average Cost of Capital :
Weighted Average Cost of Capital = ![K_{e} \times W_{e} + K_{d} \times W_{d}](https://tex.z-dn.net/?f=K_%7Be%7D%20%5Ctimes%20W_%7Be%7D%20%2B%20K_%7Bd%7D%20%5Ctimes%20W_%7Bd%7D)
= 0.163×
+ 0.0729× (1 - 0.35 )×
= 0.1255
where;
= Cost of equity
= Proportion of equity
= Cost of debt
= Proportion of debt
Now, we'll compute the cost of capital using the following formula:
Cost of capital = Weighted Average Cost of Capital + adjustment factor
= 0.1255 + 0.0125
= 0.138 or 13.8%
∴ Net present value = Cash outflows - Total PV of cash flows
= $3,900,000 - $1,260,000 (Annuity value of 13.8% for 5 years)
![= 3,900,000 - 1260000 \times \frac{[1-(1+13.8)^{-5}]}{13.8}](https://tex.z-dn.net/?f=%3D%203%2C900%2C000%20-%201260000%20%5Ctimes%20%5Cfrac%7B%5B1-%281%2B13.8%29%5E%7B-5%7D%5D%7D%7B13.8%7D)
= $3,900,000 - $3,453,444
= $446,556
Therefore, the correct answer is option(b).