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Alex17521 [72]
3 years ago
7

A prestigious investment bank designed a new security that pays a quarterly dividend of $3.70 in perpetuity. The first dividend

occurs one quarter from today.
What is the price of the security if the annual percentage rate is 3.3 percent compounded quarterly?
Mathematics
1 answer:
Andru [333]3 years ago
5 0

Answer:

the price of the security will be $448.485

Step-by-step explanation:

Annual rate of interest = 3.3%

then Interest rate per quarter (r) will be = 0.033/4

= 0.00825

= 0.825%

now it is given that

Cash flows in the first quarter, C1 = $3.70

Then Present value of perpetuity = C1 /r

= $3.70/ 0.825%

= $448.485

Therefore, the price of the security will be $448.485

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Andrei [34K]
Total from the Bikini and Sunglasses = $110
Bikini =$100 of the purchase 
So now to make the problem: 
110-100=?
6 0
4 years ago
(-2/3) to the power of 2 minus 3/4 times (2 1/3)
hodyreva [135]

Answer:

-1.30555555556

4 0
3 years ago
Find the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5).
Vilka [71]

Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

Step-by-step explanation:

We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-

(x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})  .....(i)

Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)

Then , by using (i) , the coordinates of the midpoint of CM would be :-

(\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})

Hence,  the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

3 0
3 years ago
A positive angle less than 360 degrees that is coterminal with -5 degrees is
nadya68 [22]

Answer:

\theta = 355

Step-by-step explanation:

Given

Let the angle be \theta

\theta < 360

\theta is co-terminal with -5

Required

Find \theta

Start by dividing 5 by 360 (ignore the negative)

\frac{5}{360} = 0.0138

The nearest integer greater than 0.0138 is 1.

<em>This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time</em>

So, \theta is calculated as:

\theta = -5 + 1*360

\theta = -5 +360

\theta = 355

7 0
3 years ago
8. If b(x) = -2(x-50), what is the value of<br> b(20)? Request
Sav [38]
-2(20-50)

60 is your answer
7 0
3 years ago
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