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Maurinko [17]
3 years ago
12

Your client has been offered a 5-year, $1,000 par value bond with a 10 percent coupon. Interest on this bond is paid quarterly.

If your client is to earn a simple rate of return of 12 percent, compounded quarterly, how much should she pay for the bond
Business
1 answer:
Serjik [45]3 years ago
5 0

Answer:

$906.18

Explanation:

Step 1: Calculation of the present value of the coupon (PVC) cash flow

The formula for calculating the PV of an ordinary annuity is used as follows:

PVC = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (1)

Where;

PVC = Present value of the coupon (PVC) payment =?

P = Quarterly coupon amount = $1,000 × (10%/4) = $25

r = interest rate = 12% annual = 12% ÷ 4 quarterly = 3% or 0.03 quarterly

n = number of period = 5 years = 7 × 4 quarters = 28 quarters

Substitute the values into equation (1) to have:

PVC = 25 × [{1 - [1 ÷ (1+0.03)]^28} ÷ 0.03] = $469.10

Step 2: Calculation of the present value of the face value (PVFAV) of the bond

The simple PV formula is used as follows:

PVFAV = FAV ÷ (1 + r)^n ……………………………………. (2)

Where;

PVFAC = Present value of the face value of the bond = ?

FAC = Face value of the bond = $1,000

r and n are as already given in step 1 above

Substituting these values into equation (2), we have:

PVFAV = FAV ÷ (1 + 0.03)^28 = $437.08

Step 3: Calculation of the market price of the bond

Market price of the bond = PVC + PVFAC …………………………… (3)

From step 1, PVC is $469.10, and PVFAC is $437.08 from Step 2. We can them substitute for them  in equation (3) and have:

Market price of the bond = $469.10 + $437.08 = $906.18

Conclusion

Therefore, she should pay $906.18 for the bond.

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The correct answer to this open question is the following.

Although there are no options attached, we can say the following.

As a database administrator, the data dimensions I would describe to top-level managers to obtain their support for data administration would be these.

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Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say that $z \in S$ is a unit if t
lakkis [162]

Answer:

Number of units possible in S are 4.

Explanation:

Given <em>S</em> is a set of complex number of the form a+bi where <em>a</em> and <em>b</em> are integers.

z\in S is a unit if w\in z exists such that zw=1.

To find:

Number of units possible = ?

Solution:

Given that:

zw = 1

Taking modulus both sides:

|zw| = |1|

Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.

i.e.

|z_1z_2|=|z_1|.|z_2|

So,

|zw| = |1|\\\Rightarrow |zw| =|z|.|w| =1\\\Rightarrow |z|=\dfrac{1}{|w|}......... (1)

Let z=a+bi

Then modulus of z is   |z| = \sqrt{a^2+b^2}

Given that a and b are <em>integers</em>, so the equation (1) can be true only when |z| = |w| =1 (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:

(a = 1, b = 0) ,  (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)

So, the possible complex numbers can be:

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victus00 [196]

Answer:

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Explanation:

The computation of the return of assets is calculated by applying the formula which is shown below:

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It is true that because of the substitution problem, the CPI tends to overstate the true change in the price of the typical basket of consumer goods.

<h3>What is CPI?</h3>
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  • One of the most popular methods for determining inflation and deflation is the CPI.
  • An essential gauge of an economy's health is inflation. The CPI and other indexes are used by governments and central banks when making economic decisions.
  • The decision to raise or cut interest rates is crucial among these.
  • If the CPI increases, it indicates that the average rate of change in price over time has increased. The cost of living and income are eventually changed as a result of this.

Learn more about CPI here:

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