Answer:
$38, 288.718
Explanation:
The amount to be withdrawn at the end of each year, for 30 years
The amount of $500,000 represents the present value while yearly withdraws the annuities.
We use a revised formula for calculating annuities.
Applicable formula is
P = PV × r/( 1 − (1+r)−n
P = annual withdrawals
PV = $500,000
r = 6.5%
n 30
P = 500,000 x( 0.065/ ( 1- (1 + 0.065) -30)}
p = 500,000 x (0.065/ (1-1+.065)-30)
p= 500,000 x (0.065 / 1-0.1511860661)
P =500,000 x (0.065 /0.848814)
P= 500,000 x 0.076577436
Yearly withdrawals = $38, 288.718
If three people work for a company:
A, who has worked there for 5 years,
B, who has worked there for 20 years,
and C, who has worked there for 1 year,
B has seniority over A and C, A has seniority over C. In most companies, this would mean that barring other factors, C would be fired first because C has the lowest seniority. <span />
Answer:
- <u><em>Option B. $1,025 a month for 10 years.</em></u>
Explanation:
Calculate the present value of each option:
Formula:
![PV=C\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]](https://tex.z-dn.net/?f=PV%3DC%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7Br%7D-%5Cdfrac%7B1%7D%7Br%281%2Br%29%5Et%7D%5Cbigg%5D)
Where:
- PV is the present value of the constant monthly payments
- r is the monthly rate
- t is the number of moths
<u>1. Option A will provide $1,500 a month for 6 years. </u>
![PV=$\ 1,500\times \bigg[\dfrac{1}{(0.005\overline 6}-\dfrac{1}{0.005\overline 6(1+0.005\overline 6)^{(6\times12)}}\bigg]](https://tex.z-dn.net/?f=PV%3D%24%5C%201%2C500%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B%280.005%5Coverline%206%7D-%5Cdfrac%7B1%7D%7B0.005%5Coverline%206%281%2B0.005%5Coverline%206%29%5E%7B%286%5Ctimes12%29%7D%7D%5Cbigg%5D)
<u>2. Option B will pay $1,025 a month for 10 years. </u>
![PV=$\ 1,025\times \bigg[\dfrac{1}{(0.005\overline 6}-\dfrac{1}{0.005\overline 6(1+0.005\overline 6)^{(10\times12)}}\bigg]](https://tex.z-dn.net/?f=PV%3D%24%5C%201%2C025%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B%280.005%5Coverline%206%7D-%5Cdfrac%7B1%7D%7B0.005%5Coverline%206%281%2B0.005%5Coverline%206%29%5E%7B%2810%5Ctimes12%29%7D%7D%5Cbigg%5D)
<u>3. Option C offers $85,000 as a lump sum payment today. </u>
<u></u>
<h2 /><h2> Conclusion:</h2>
The present value of the<em> option B, $1,025 a month for 10 years</em>, has a the greatest present value, thus since he is only concerned with the <em>financial aspects of the offier</em>, this is the one he should select.
Answer:
Existing Equity = 20 million
Existing debt = 60 million
Total capital = 20 million + 60 million = 80 million
a. Given company issued 30 million of equity to retire debt
Equity after raise = $20 million + $30 million = $50 million
Debt = $60 million - $30 million = $30 million
Total capital size remain at $80 million
Capital structure, Equity = $50 million/$80 million = 0.625 = 62.50%
Debt = (1-0.625) = 0.375 = 37.50%
b. The market would welcome the new issue as the risk of the firm would be reduced.
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