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Anvisha [2.4K]
1 year ago
14

A company plans to invest X at the beginning of each month in a zero-coupon bond in order to accumulate 100,000 at the end of si

x months. The price of each bond as a percentage of redemption value is given in the following chart:1 2 3 4 5 6 ; 99% 98% 97% 96% 95% 94%; Calculate X given that the bond prices will not change during the six-month period.
Business
1 answer:
anyanavicka [17]1 year ago
5 0

Answer:

x = $16,078.46

Explanation:

$100,000 = 1.0101x + 1.0204x + 1.0309x + 1.0417x + 1.0526x + 1.0638x

$100,000 = 6.2195x

x = $100,000 / 6.2195 = $16,078.46

month               investment              value at end of month 6

1                         $16,078.46                    $17,104.74

2                        $16,078.46                    $16,924.68

3                        $16,078.46                    $16,748.39

4                        $16,078.46                    $16,575.73

5                        $16,078.46                    $16,406.59

6                        $16,078.46                    $16,240.87

total                  $96,470.76                     $100,001*

*the extra $1 is due to rounding errors.

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Irene plans to retire on January 1, 2020. She has been preparing to retire by making annual deposits, starting on January 1, 198
worty [1.4K]

Answer:

$16,876

Explanation:

first we have to calculate how much money Irene saved until January 1, 2001:

P = PMT ×   [(1 + r)ⁿ - 1] / r

  • PMT = 2,300
  • r = 8.4%
  • n = 22

P = 2,300 ×   [(1 + 8.4%)²² - 1] / 8.4% = $134,089

if she stops making any more payments, in 19 years those $134,089 will be worth:

FV = PV x (1 + r)ⁿ

  • PV = $134,089
  • r = 8.4%
  • n = 19

FV = 134,089 x (1 + 8.4%)¹⁹ = $620,797

that means she still needs to get $1,350,000 - $620,797 = $729,203

we can use the first formula to determine the payments she will need to make during the next 19 years:

P = PMT ×   [(1 + r)ⁿ - 1] / r

  • P = 729,203
  • r = 8.4%
  • n = 19
  • PMT = ???

PMT = P /  {[(1 + r)ⁿ - 1] / r}

PMT = 729,203 / {[(1 + 8.4%)¹⁹ - 1] / 8.4%} = 729,203 / 43.21 = $16,876

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1 year ago
In some cases, it is safe to avoid insurance because
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It may not be needed
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Read 2 more answers
Frederick W. Taylor is speaking to a friend about scientific management. Which of the following statements might Frederick say?
zvonat [6]

Answer:

(A) The best way to increase your workers' productivity is to study their movements carefully. Figure out the fastest way to get the job done correctly, and then train all of the employees to do it the same way.

(B) Are you promoting people just because you like them? Try having managers make promotion decisions solely on the basis of a person's technical ability to do the work.

Explanation:

<em>Scientific Management theory</em> laid out by <em>Frederick W. Taylor</em> focuses on <em>effective (best) and efficient (less costly)</em> way of getting the work done.

(1) Statement A focuses on <em>motion and time studies</em> respectively.

In <em>motion studies</em>, we are concerned with elimination of unnecessary movements and activities required to perform a job. For eg, in order to manufacture 100 packets of biscuits, 5 processes are required but the processes currently used are 10, so 5 processes must be eliminated in order to save time and costs.

<em>Time studies</em> implies setting up time for performing a particular work activity. The time must be same for all the workers and could be based on the past factory time data of the activity. For eg, an average time per worker can be calculated for the activity taking into consideration the total time spent by total no. of workers on a particular work activity.

(2) Statement B focuses on promoting the persons based on their technical ability to do the work.

<em>Differential piece wage system</em> of F.W. Taylor applies perfectly to this statement. It prescribes paying workers as per the work done by them. For eg, a worker producing 15 units of a good per day would be paid $ 12 a unit, let's suppose and the worker producing less than that would be paid $ 10 a unit. So, the workers producing 15 and more units of a good, have higher technical ability with respect to the production of that good and hence, higher pay. The workers producing less than 15 units have lower technical ability and hence lower pay.

(3) Statement 3 relates to the administrative principle of "Unity of Command" laid out by Henry Fayol and hence, is not the solution statement.  

4 0
1 year ago
Dell is a product of the Digby company. Digby's sales forecast for Dell is 2079 units. Digby wants to have an extra 10% of units
Thepotemich [5.8K]

Answer:

Option (B) is correct.

Explanation:

Sales forecast = 2079 units

Ending Inventory to be maintained:

= 10% of forecast sales

= 10% (2079 units)

= 208 units

Production:

= Sales + Ending Inventory - Beginning Inventory

= 2079 units + 208 units - Nil  

= 2,287 units

Taking current inventory into account, Dell's Production of 2,287 units After Adjustment have to be in order to have a 10% reserve of units available for sale.

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2 years ago
A salesperson is offering promissory notes for a company selling coffee at drive-through kiosks. The notes pay a 13% interest ra
OverLord2011 [107]

Answer:

Legitimate promissory notes are marketed to sophisticated, corporate investors that have the ability to thoroughly research the company issuing the notes and determine whether the issuer will be able to repay principal and interest.   There have been many instances of "promissory note fraud" where unlicensed individuals push bogus promissory notes that are sold as investments that offer above-market fixed interest rates and safeguarding of principal - and most of there are frauds.  This is a major concern to state regulators.

To offer a promissory note, both the salesperson and the note must be registered in the state.  Only promisory notes that have maturities of 9 months or less, that are investment grade, and are sold in minimum increments of $50,000 are exempt from registration.  

Finally, the tell-tale sign of fraud are:

Statements that tho notes are "guaranteed" or insured, especially by bogus foreign entities.

Promises of above-market rates fo return

Statements that the notes are "risk"free"

The labeling of a star-up company´s notes as prime

Offers of promissory notes from a stanger who does not know the costumer financial situation

4 0
2 years ago
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