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emmasim [6.3K]
2 years ago
8

Twenty years ago, you won a state lottery, and you received $15,000 at the end of each of the next 10 years, and $20,000 at the

end of years 11 through 15. Since you did well in FIN 3403, you decided to invest each of your lottery payments. If you earned 9% per year, how much do you have at the end of year 20
Business
1 answer:
oksian1 [2.3K]2 years ago
4 0

The value of the amount won at the lottery at the end of 20 years is  $723,672.24.

<h3>What is the value at the end of 20 years?
</h3>

The formula for calculating future value of annuities is: yearly amount x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r  = interest rate
  • n = number of years

Annuity factor for the first ten years = [(1.09^10) - 1] / 0.09 = 15.19293

15.19293 x $15,000 = $227,893.95

Annuity factor for the last 5 years = [(1.09^5) - 1] / 0.09 = 5.9847

5.9847 x 20,000 = $119,694.21

Future value of the lump sum of  $227,893.95 in 10 years =  $227,893.95 x (1.09^10) = 539,507.86

Future value of the lump sum of $119,694.21 in 5 years = $119,694.21 x (1.09^5) = $184,164.38

Value in year 20 =  $184,164.38 +  539,507.86 = $723,672.24

To learn more about annual annuities, please check: brainly.com/question/24108530

#SPJ1

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Suppose now that there is not enough internal cash flow and the firm must issue new shares of stock. Qualitatively speaking, wha
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Complete question:

WACC Estimation

On January 1, the total market value of the Tysseland Company was $60 million. During the year, the company plans to raise and invest $20 million in new projects. The firm's present market value capital structure, here below, is considered to be optimal. There is no short-term debt.

Debt $30,000,000

Common equity 30,000,000

Total capital $60,000,000

 New bonds will have an 7% coupon rate, and they will be sold at par. Common stock is currently selling at $30 a share. The stockholders' required rate of return is estimated to be 12%, consisting of a dividend yield of 4% and an expected constant growth rate of 8%. (The next expected dividend is $1.20, so the dividend yield is $1.20/$30 = 4%.) The marginal tax rate is 40%.

1. In order to maintain the present capital structure, how much of the new investment must be financed by common equity? Enter your answer in dollars. For example, $1.2 million should be entered as $1200000.

$  

2. Assuming there is sufficient cash flow for Tysseland to maintain its target capital structure without issuing additional shares of equity, what is its WACC? Round your answer to two decimal places.

%

3. Suppose now that there is not enough internal cash flow and the firm must issue new shares of stock. Qualitatively speaking, what will happen to the WACC? No numbers are required to answer this question.

I. rs will increase and the WACC will decrease due to the flotation costs of new equity.

II. rs will decrease and the WACC will increase due to the flotation costs of new equity.

III. rs and the WACC will not be affected by flotation costs of new equity.

IV. rs and the WACC will increase due to the flotation costs of new equity.

V. rs and the WACC will decrease due to the flotation costs of new equity.

-Select- one above IIIIIIIVV

Answer:

The answer is III.

rs and the WACC will increase due to the flotation costs of new equity.

Solution:

It is given that,

Equity is $30,000,000.

Debt is $30,000,000.

The amount of fund raised is $20,000,000.

The formula to calculate weight of equity is given below:

Weight of equity = \frac{Equity}{Equity+Debt}

Substitute $30,000,000 for equity and $30,000,000 for debt in the formula,

Weight of equity = \frac{30,000,000}{30,000,000 + 30,000,000}

                         = 50%

Since weight of equity is 50% and to maintain this capital structure, company should finance the 50% of funds

Amount financed by common equity = $20,000,000 * 50%

                                                             =  $10,000,000

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