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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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Which of the following statements is not​ true? A. If the probability of an event occurring is​ 1.5, then it is certain that eve
yawa3891 [41]

Answer:

Therefore, we conclude that the statement in (A) is incorrect.

Step-by-step explanation:

We have the following sentences:

A) If the probability of an event occurring is​ 1.5, then it is certain that event will occur.  

B) If the probability of an event occurring is​ 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that  is equal to 1.5.

Therefore, we conclude that the statement in (A) is incorrect.

8 0
4 years ago
What is the integral of -3x^3
Sati [7]
\int -3x^3\, dx=-3\int x^3 \, dx=-3\cdot\dfrac{x^4}{4}+C=\dfrac{3x^4}{4}+C
6 0
4 years ago
MATH HELP ME ASAP PLEASE
elena55 [62]

Answer:

53lbs.

Step-by-step explanation:

If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.

Equations:

7+x=60 or 60-7=53 lbs.

8 0
3 years ago
Read 2 more answers
An insurance company sells a one-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $1000. If
Gekata [30.6K]

Answer:

The profit of the company will be $224.85

Step-by-step explanation:

Let the equation of profit be termed as E(x)

we are given

amount of purchasing the policy (let a)= $1000

probability that women will live for at least 1  year (let b) = 0.9581

amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500

the probability woman dies within one year (let d) = 1-0.9581=0.0419

the equation will be

E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419

                    = 958.1 - 733.25

                    =  224.85

7 0
3 years ago
4. Add one set of parentheses to make the expression equal
Sauron [17]

The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).

<h3>How to solve a long-expression problem?</h3>

In mathematics, parentheses are used to group a set of mathematical terms. In  a long-expression, like the one presented, using parenthesis implies:

  • The terms in the parentheses are solved separately from those outside the parentheses.
  • The terms in the parentheses are solved before solving those outside.
  • Moving the parentheses will affect the result of the whole expression.

Based on this, the expression that equals 2022 is:

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

<h3>Let's solve it to prove this result</h3><h3 />
  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

First, solve the parenthesis first by dividing and then by adding.

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2

Now, let's solve this expression, the first step is to solve the multiplications.

  • 1728 + 144 + 144 + 12/2

Now, solve the division.

  • 1728 + 144 + 144 + 6

Finally, add everything.

  • 1728 + 144 + 144 + 6 = 2022

Learn more about mathematics in: brainly.com/question/12083755

7 0
2 years ago
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