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4 years ago

How much must be deposited at the beginning of each year to accumulate to $10,000 in four years if interest is at 9%

Business

1 answer:

aliina [53]4 years ago

8 0

Answer:

Annual deposit= $2,186.69

Explanation:

Giving the following information:

Future value= $10,000

Number of peridos= 4 years

Interest rate= 9% compounded annually

To calculate the annual deposit required, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (10,000*0.09) / [(1.09^4) - 1]

A= $2,186.69

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A store offers two payment plans. under the installment plan, you pay 25% down and 25% of the purchase price in each of the next

Ann [662]

Answer

a-1 . The Present Value of the installment plan is $94.38.

We calculate the PV of $25 for each of the three following years with the following formula:

$PV_{Annuity} = Constant Payment * PVIFA_{0.04,3}$

where

PVIFA = Present Value interest factor of an annuity of $1 at 4% for 3 years.

$PVIFA_{0.04,3} = 2.77509103$

We can ascertain this in excel by using the syntax : =pv(0.04,3,-1).

In this syntax, 0.04 is the interest rate, 3 is number of periods and since the annuity is $1 we write 1. We need to put in -1 because otherwise, we'll get the answer as a negative number. This is because excel treats any Present Values as outflows, and records them as negative.

Substituting the values above in the preceding equation we get,

$PV_{Annuity} = 25 * 2.77509103$

$PV_{Annuity} = 69.3772758$

In order to find the Present Value of the installment plan, we need to add the down payment of $25. So,

$PV_{instalment} = $25 + 69.3772758$

PV of instalment = $94.38

a-2. We get a 6% discount when we pay in full, so the purchase price of the product becomes:

$Purchase price = 100 - (100*0.06)$

$Purchase price = $94 (100 - 6)$

Since the purchase price of the pay in full plan is lesser than that of the installment plan, the pay in full plan is a better option.

b-1. The Present Value of the installment plan is $90.75.

Since the first instalment falls due only after one year, we calculate the PV of $25 each of four years with the following formula:

$PV_{Annuity} = Constant Payment * PVIFA_{0.04,4}$

where

PVIFA = Present Value interest factor of an annuity of $1 at 4% for 4 years.

$PVIFA_{0.04,4} = 3.62989522$

We can ascertain this in excel by using the syntax : =pv(0.04,4,-1).

Substituting the values above in the preceding equation we get,

$PV_{Annuity} = 25 * 3.62989522$

$PV_{Annuity} = 90.7473806$

b-2. In this case, the PV of the pay in full plan remains at $94 while that of the instalment plan falls to $90.75. Since the PV of the Instalment plan is lower, we'll choose the instalment plan.

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3 years ago

Alton, a mid-level manager for knockaround clothing in charge of monthly inventory, often participates in quarterly meetings of

vivado [14]

Alton's supervisors' allowing him flex time to attend these meetings embraces Alton's "ethnicity".

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3 years ago

Salvatore and Annette are sales managers for Acme USA. Both work full-time in the Acme offices under the same manager, and share

Bogdan [553]

Answer:

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Explanation:

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Secondly, the Fair Labor Standards Act of 1938 is a United States Labor Law that creates certain standards that must be accomplished by the employers regarding topics like a minimum wage, ''time-and-a-half'' overtime pay and many others. The basic of this act is to establish standards and protect particular situations regarding the less benefited employees.

Finally, in the case of Acme, where Annette was hired as a independent contractor the company willfully misclassified her due to the fact that she has the same duties and hours of job as Salvatore therefore the company is liable under the Fair Labor Standards Act of 1938 to give her the same salary and health insurance.

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A country's current national savings and investment identity is expressed in algebraic terms as I – S – (T – G) = (M – X). Assum

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Answer:

Increase in current account deficit.

Explanation:

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4 years ago

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KengaRu [80]

Answer:

c) Beth Teal pays $15,000 a year to her gardener, Ben. Beth is Ben's grandmother.

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