Using the Gordon Growth Model (a.k.a. Dividend Discount Model), the intrinsic value of a stock can be calculated, exclusive of current market conditions. In this model, the value of the stock is equated to the present value of the stock's future dividends.
<span>Value of stock (P0) = D1 / (k - g)
</span>where
D1<span> = </span><span>expected annual </span>dividend<span> per share in the following year </span>
<span>k = the investor's discount rate or required </span>rate of return
g = the expected dividend growth rate
<u>From the problem:</u>
The value of stock is $10.80
D1 is $0.40
g is 0.08
k is unknown
Solution:
Rearranging the equation for Gordon Growth Model to solve for k:
k = (D1/P0) + g
Substituting the variables with the given values,
k = (0.40/10.80) + 0.08
k = 0.1170
In percent form, this is
0.1170 * 100% = 11.70%.
Thus, the total rate of return on the stock is 11.70%.
Answer:
3.73%
Explanation:
The computation of the rate of interest that makes the equivalent is shown below:
As we know that
Present value=Cash flow × Present value discounting factor ( interest rate% , time period)
Let us assume the interest rate be x
where,
Present value of $400,000 is
= $400,000 ÷ 1.0x ^5
And,
Present value of $1,000,000 be
= $1,000,000 ÷ 1.0x^30
Now eqaute these two equations
$400,000 ÷ 1.0x^5 = $1,000,000 ÷ 1.0x^30
(1.0x^30) ÷ (1.0x^5) = $1,000,000 ÷ $400,000
1.0x^(30 - 5)=2.5
1.0x^25=2.5
1.0x = (2.5)^(1 ÷ 25)
x =1.03733158 - 1
= 3.73%
The convexity of the bond is 61.810 and the duration of the bond is 7.330 years.
<u>Explanation</u>:
- A newly issued bond has a maturity of 10 years. It pays a 7.7% coupon rate. The coupon payments will receive each year. Using the coupon payments the year will be reduced.
- The maturity year will get reduced. So the duration of the bond is approximately 7.330 years. If the bond is sold at par value the convexity can be calculated using the number of years.
- So the convexity of the bond is 61.810.
Answer:
Exclude people from your property
Answer:
$784,434 will be allocated to the Retail division
Explanation:
See attached file
