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icang [17]
3 years ago
13

Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires, until he is 85. He wa

nts a fixed retirement income that has the same purchasing power at the time he retires as $60,000 has today. (The real value of his retirement income will decline annually after he retires.) His retirement income will begin the day he retires, 10 years from today, at which time he will receive 24 additional annual payments. Annual inflation is expected to be 5%. He currently has $105,000 saved, and he expects to earn 8% annually on his savings. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below.How much must he save during each of the next 10 years (end-of-year deposits) to meet his retirement goal?
Business
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

It will need  $ 107,120.321 dolalr per year to achieve his retirement goal

Explanation:

We first must calcualte the prsent value of the 25 payments with equal worth of 60,000 dollar of today.

First we move the 60,000 forward 10 years

Principal \: (1+ r)^{time} = Amount

Principal 60,000.00

time 10.00

rate 0.05000

60000 \: (1+ 0.05)^{10} = Amount

Amount 97,733.68

Now, we calculate the present value of an annuity considering this 5% inflation

C_0 \times \frac{(1+r)^n-(1+g)^n}{r-g}  = PV

g 0.05

r 0.08

C 97,734

n 25

$ 1,778,492.341

Then, decrease this by the amounnt already saved by our father:

Principal \: (1+ r)^{time} = Amount

Principal 105,000.00

time 10.00

rate 0.08000

105000 \: (1+ 0.08)^{10} = Amount

Amount 226,687.12

Additional saving needed:

1,778.492-34 - 226,687.12 = 1.551.805,22

Now, we solve the annual saving to achieve this future value:

PV \div \frac{(1+r)^{time} -1}{rate} = C\\

PV 1,551,805.22

time 10

rate 0.08

1551805.22 \div \frac{(1+0.08)^{10} -1}{0.08} = C\\

C  $ 107,120.321

‬

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Answer:

His firm's DPMO is 12,083

Explanation:

The computation of the DPMO is shown below:

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where,

Total complaints = Shrinkage complaints + poor quality complaints + wear off complaints + fitting issue complaints

= 22 + 16 + 12 + 8

= 58 customers defects

And, the total number of defects opportunity would be equal to

= Number of t-shirts sold × number of possible complaints

= 1,200 × 4

= 4,800

Now put these values to the above formula

So, the value would be equal to

= (58 ÷ 4,800) × 1,000,000

=  12,083

4 0
3 years ago
After recently having repairs made to a refrigerator, Tammy has found that it has a new problem. Tammy has an opportunity to buy
just olya [345]

Answer: The cost of the previous repairs.

Explanation:

7 0
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Rick Wing has a repetitive manufacturing plant producing automobile steering wheels. Use the following data to prepare for a red
Ilya [14]

Answer:

$5.74

Explanation:

Q* = 2DS / H[1-(d/p)]

Q² = 2DS / H[1-(d/p)]

S = (Q²)(H)[1 - (d/p) / 2D

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3 0
3 years ago
Truman Co. sells a large number of common household items, while Stapleton sells a small number of expensive items. The two comp
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Answer:

Truman has a higher inventory turnover ratio and Stapleton has a higher gross profit ratio ( D )

Explanation:

Truman sell a large number of common household items ( assuming 100 unit )

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with the above assumptions

Truman gross profit ratio = $5 * 100 units = $500

Stapleton gross profit ratio = $50 * 20 units = $1000

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4 0
3 years ago
Consider the relationship between the AE curve and the AD curve. A rise in the amount of desired​ consumption, investment, gover
Rudiy27

Answer:

The response options are:

B) real national income and AE.

C) AD and real national income.

D) the price level and desired consumption.

E) the price level and the equilibrium level of demand-determined national income.

The correct answer is: E) the price level and the equilibrium level of demand-determined national income.

Explanation:

Aggregate demand is the total planned or desired expenditure in the economy as a whole in a given period. It is determined by the aggregate price level and by factors such as investment, public spending and money supply.

COMPONENTS OF THE ADDED DEMAND:

Consumer expenses of domestic economies. It is the main component of aggregate demand.

Investment expenditure of companies or domestic economies. It refers to the increase in the physical capital stock, including the accumulation of stock of companies.

Purchases of goods and services for public service. Component

important, includes, for example, national defense expenses, salaries of officials, infrastructure, construction, etc.

Foreign demand (international trade). They are net exports exports - imports). It is a component of the total demand for the goods of an economy. The trade flows of a country are an engine that drives the economy to better product levels.

7 0
3 years ago
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