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boyakko [2]
3 years ago
6

570,000. The firm will raise the $570,000 in capital by issuing $230,000 of debt at a before-tax cost of 11.1%, $20,000 of prefe

rred stock at a cost of 12.2%, and $320,000 of equity at a cost of 14.7%. The firm faces a tax rate of 25%. What will be the WACC for this project? (Note: Round your intermediate calculations to three decimal places.)
Business
1 answer:
exis [7]3 years ago
3 0

Answer:

WACC = 12.040%

Explanation:

WACC represents weighted average cost of all sources of financing. In the question there are three sources of finance 1) Equity 2) Preferred Stock 3) Debt.

1) Equity: The firm intends to raise $ 320,000 from equity out of total financing of $ 570,000 e.g. 56% of total financing comes from Equity. Thus multiplying the cost of equity 14.7% (given) with ratio of equity financing, we get to weighted average cost of equity of 8.253%.

2) Debt: The firm is raising $ 230,000 from debt e.g. 40% of total financing. The proportion of debt is multiplied by post tax cost of debt as the interest expense is deductible expense for tax purposes in most of the jurisdiction. Therefore we reduce the cost of debt with element of (1 - tax rate), thus we get to 8.325% = 11.1 (1 - 25%) as total cost of debt. In order to get weighted average cost of debt we multiply this post tax cost of debt with ratio of debt financing 40%, thus weighted average cost of debt is 8.325 * 40% = 3.359%

3) Preferred Stock: The firm is also raising finance from preferred stock having cost of 12.2%. Proportion of financing from preferred stock is 4% in total mix of financing, thus weighted average cost of preferred stock is 12.2% * 4% = 0.428%.

Now adding weighted average cost of all three sources of funding, we get WACC: 8.253% + 3.359% + 0.428% = 12.040%

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An investment project has annual cash inflows of $4,400, $3,900, $5,100, and $4,300, for the next four years, respectively. The
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Answer:

Discounted payback period shall be as follows:

a. 1 year 7.36 months

b. 2 years 3.27 months

c. 3 years 2.9 months

Explanation:

a. Payback period in case of cash outflow = $5,700

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0                 -  $5,700            1                             - $5,700                    -5,700

1                     $4,400         0.877                         $3,858.8                -$1,841.2

2                    $3,900         0.770                         $3,003                    $1,161.8

Since the cumulative cash flows are positive in 2nd year payback period =

1 + \frac{1,841.2}{3,003} \times 12 = 1 year and 7.36 months

b. Payback period in case of cash outflow = $7,800

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0                 -  $7,800            1                             - $7,800                    -7,800

1                     $4,400         0.877                         $3,858.8                -$3,941.2

2                    $3,900         0.770                         $3,003                    -$938.2

3                    $5,100          0.675                         $3,442.5                  $2,504.3

Since the cumulative cash flows are positive in 3rd year payback period =

2 + \frac{938.2}{3,442.5} \times 12 = 2 years and 3.27 months

b. Payback period in case of cash outflow = $10,800

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0               -  $10,800            1                          - $10,800                   -$10,800

1                   $4,400         0.877                         $3,858.8                 -$6,941.2

2                  $3,900         0.770                         $3,003                    -$3,938.2

3                  $5,100          0.675                         $3,442.5                   -$495.7

4                  $4,300          0.592                        $2,545.6                   $2,049.9

Since the cumulative cash flows are positive in 4th year payback period =

3 + \frac{495.7}{2,049.9} \times 12 = 3 years and 2.9 months

Final Answer

Discounted payback period shall be as follows:

a. 1 year 7.36 months

b. 2 years 3.27 months

c. 3 years 2.9 months

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Using the rule of 70, about how much would $100 be worth after 50 years if the interest rate were 7 percent?
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0 year = $100

10 year = $200

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