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patriot [66]
3 years ago
7

Suppose you bought a bond with an annual coupon rate of 5.5 percent one year ago for $1,017. The bond sells for $1,041 today.

Business
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

Dollar return is $79

Nominal rate of return is 7.77%

Real rate of return is 4.77%

Explanation:

The total return is the difference in market price plus the coupon interest received,the total dollar return is computed as follows:

Price today                                  $1,041

price a year ago                           ($1,071)

Coupon interest($1000*5.5%)       $55

Total dollar return                           $79

The nominal rate of return over the past one year is calculated thus:

Nominal rate of return =dollar return/initial price paid

dollar return is $79

initial price is $1017

nominal rate of return =$79/$1017

                                     =7.77%

Real rate of return=Nominal rate -inflation rate

inflation rate is 3%

real rate of return=7.77%-3%

                             =4.77%

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Consider this problem: Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil an
astraxan [27]

Answer:

The maximum time guaranteed = 19.04 minutes.

Explanation:

From the given problem data, we have:

Let Y be the random variable which follows the normal distribution.

So,

Y ~ N(u = 15, SD = 2.4

Where, u = mean and SD = Standard Deviation

Let the maximum time guaranteed is = M

So,

P (Y > M) = 0.05   equation 1

Convert this equation 1 into standard normal variable, that is,

P(Y> M) = 0.05

1 -  P(Y \leq M) = 0.05

P(Y \leq M) = 1 - 0.05

P(Y \leq M) = 0.95

P(\frac{Y-u}{SD} \leq \frac{M-u}{SD} ) = 0.95

P ( Z \leq \frac{M - 15}{2.4} )  = 0.95     Equation 2

From the equation 2, we have,

\frac{M-15}{2.4} = 1.644853627  

1.644853627 value is from using the function of Excel

( =NORSINV(0.95)) = 1.644853627

So,

M = 1.644853627 + 2.4 + 15

M = 19.04

Hence, the maximum time guaranteed = 19.04 minutes.

6 0
2 years ago
A firm currently produces 3,500 units of output per week. After an additional worker is hired, output rises to 3,750 units per w
MrRissso [65]

Answer:

C. $2

Explanation:

The marginal cost is the cost for producing an additional unit of the product. According to this and as the statement says that with the additional worker the output rises to 3,750, teh first thing is to find the number of additional units that were produced:

3,750-3500= 250

With the new worker, the firm produces an additional 250 units that cost $500 because this is the salary of the new worker and to calculate the cost of one additional unit you have to do the following:

250 units ⇒ $500

     1 unit  ⇒      x

x=( 1*500)/250= 2

The firm's short-run marginal cost is $2.

4 0
3 years ago
The following information is available for Blue Spruce Corp. for 2021:
Andru [333]

Answer:

  • Other Comprehensive income = $37,500
  • Comprehensive income = $154,500

Explanation:

Other comprehensive income:

= Realized gain on sale of available-for-sale debt securities  + Unrealized holding gain arising during the period on available-for-sale debt securities - Reclassification adjustment for gains included in net income

= 11,000 + 34,000 - 7,500

= $37,500

Comprehensive income = Net income + Other comprehensive income

= 117,000 + 37,500

= $154,500

6 0
2 years ago
All of the following statements are true EXCEPT:_________.
ale4655 [162]

Answer:

D. the demand for Nike running shoes is less elastic than the demand for shoes.

Explanation:

In this the substitutes would be more for the particular brand rather than the normal running shoes. Since the demand of running shoes might be less elastic as compared to the demand of nike running shows because the consumer shifted from the nike to other brand that are popular. Plus, the elasticity of demand for running shoes is considered to be inelastic as there is many subsitutes

So, the option d is correct

6 0
3 years ago
Aunt Mabel promised to give you $9000 when you successfully complete your freshman year, $6000 when you successfully complete yo
Blababa [14]

Solution :

At every stage the formula used will be :

$\frac{\text{available balance}}{(1+\text{interest rate})}= \text{required bank balance}$

After the junior year, Aunt Mabel's bank balance will be :

$=\frac{8000}{1.0925}$

= $ 7,322.65

Aunt Mabel's bank balance after sophomore year will be :

7,322.65 + 1000 = $ 8,322.65

$=\frac{8,322.65}{1.0325} $

= $ 8060.677

After the freshman year, bank balance of Aunt Mable's will be :

8060.677 + 6000 = $ 14,060.677

$=\frac{14,060.677}{1.0250} $

= $ 14.0606

If Aunt Mabel can predict the interest rate with accuracy, she will have to deposit :

$ 14.0606 + $ 9000 = $ 9,014.06

$=\frac{9014.06}{1.0525}$

= $ 8,565.241

4 0
3 years ago
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