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Law Incorporation [45]
2 years ago
7

You want to be a millionaire when you retire in 40 years.

Business
1 answer:
Sedaia [141]2 years ago
7 0

Answer:

a. FV = $1,000,000

rate = 9.7%

n = 40 periods

FVIFA = [(1 + 0.097)⁴⁰ - 1] / 0.097 = 407.9960231

annual savings = $1,000,000 / 407.9960231 = $2,451.00

b. FV = $1,000,000

rate = 9.7%

n = 30 periods

FVIFA = [(1 + 0.097)³⁰ - 1] / 0.097 = 155.4306295

annual savings = $1,000,000 / 155.4306295 = $6,433.74

FV = $1,000,000

rate = 9.7%

n = 20 periods

FVIFA = [(1 + 0.097)²⁰ - 1] / 0.097 = 55.35978429

annual savings = $1,000,000 / 55.35978429 = $18,063.65

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a 17-year annuity pays $1,100 per month, and payments are made at the end of each month. The interest rate is 16 percent compoun
zzz [600]

Answer:

The present value of the annuity is $73,091.50

Explanation:

Use the following formula to calculate the present value of the annuity

Present value of annuity = ( Annuity Payment x Annuity factor for first 6 years ) + [ ( Annuity Payment x Annuity factor for after 6 years ) x Present value factor  for 6 years ]

Where

Annuity Payment = $1,000

Annuity factor for first 6 years = 1 - ( 1 + 16%/12 )^-(6x12) / 16%/12 = 46.10028344

Annuity factor for after 6 years = 1 - ( 1 + 13%/12 )^-((17-6)x12) / 13%/12 = 70.0471029820

Present value factor for 6 years = ( 1 + 16%/12)^-(6x12) = 0.385329554163

Placing values in the formula

Present value of annuity = ( $1,000 x 46.10028344 ) + [ ( $1,000 x 70.0471029820 ) x 0.385329554163 ]

Present value of annuity = $46,100.28 + $26,991.22

Present value of annuity = $73,091.50

4 0
2 years ago
Your younger sister, Linda, will start college in five years. She has just informed your parents that she wants to go to Hampton
Elden [556K]

Answer:

The answer $6,964.4726324 per year  

Explanation: The following elements are to be considered in this case:

- The total amount required for Linda's education is $132,000 ($33,000*4)

-Parents had already started investing $5,300 per year for the past five years. This is a stream of even cash flows, at an interest rate. Considering we are at the point before our parents decided to invest the $5,300 and we want to determine the future value of this fixed payments, we will consider the formula below:

Future Value FV = Cash flow per period C * ([1 + i]^n - 1 )/i where  i is the interest rate and n the number of times or periods

FV= $5,300 * ([1 + 0.11]^5 - 1 )/0.11

FV= $5,300 * 6.22780141

FV= $33,007.347473

Considering they will continue to save $5,300 for five more years, we can adjust the above formula and obtain the future value of the fixed payment of $5,300 over a period of 10 years

FV= $5,300 * ([1 + 0.11]^10 - 1 )/0.11

FV= $5,300 * 16.722008965

FV= $88,626.647515

This implies our parents will have the above amount when Linda is to start college and will require an additional $43,373.35248 ($132,000 - $88,626.647515 ) to have the entire fees at hand.

Now, we have to determine how much should be saved every year for the next five years (when Linda starts school) in order to obtain the amount left to complete Linda's fees.

Considering the formula above, it should be noted that we alraedy know the future value, the interest and the number of years involved. So to get the cash flow or amount to be saved per period,

- Cash Flow per period C = Future value FV/  ([1 + i]^n - 1 )/i

 C = $43,373.35248 /  ([1 + 0.11]^5 - 1 )/0.11

 C = $43.373.35248 / 6.22780141

 C = $6,964.4726324

Thus, in addition to the $5,300 currently being saved by our parents, they will have to save an additional $6,964.4726324 per year so as to obtain the total amount for Linda fees of $132,000 which will be divided into $33,000 per year.

3 0
3 years ago
Read 2 more answers
In an ethnographic study of black and white working-class men, Deirdre Royster (2003) found that the job market was
Rainbow [258]

In an ethnographic study of black and white working-class men, Deirdre Royster (2003) found that the job market was Not fair and not meritocratic

Explanation:

Deirdre Royster has put this popular wisdom to a test – revealing the subtleties and inequalities of a place of work in the Race and the Invisible Hand which favour the white person looking for jobs above the black one.

Royster is finding a reference in the stories of 25 black and 25 white men from the same vocational school who were looking for work on the same blue collar job market in the beginning of the 1990's.

Having carefully studied the professional successes, work ethics and values of Black men in the sense of particular deprivations, her research shows that young black and white men are the main differences— access to connections that are very relevant in job searches and admission.

7 0
3 years ago
Jared can play three musical instruments; he loves drawing, painting, and other visual arts as well. Jared can work in groups at
julsineya [31]
<span>From the descriptions given above about Jared's skills and capabilities, 
musician in a band on tour, the careers that he would most likely enjoy are music teacher at a school, life-enrichment director and event planner at a retirement home and professional photographer for special events.

</span>
3 0
3 years ago
Read 2 more answers
"A higher price level will increase the demand for money, but expectations of a rise in the price level will reduce the demand f
DerKrebs [107]

Answer:

The statement is True

Explanation:

A higher price level is a term that describes an economic condition in which more money is required to purchase a given amount of goods and services, at a given period, tland this leads to inflation overtime.

However, with a higher expected price level, it implies that a decline in the real value of a constant nominal amount of money balances is expected. Thus, there is an high tendency among people to substitute away from holding money and toward holding non-liquid assets whose prices may rise with the in the foreseeable future.

4 0
3 years ago
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