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KengaRu [80]
3 years ago
14

How much must you deposit each year into your retirement account starting now and continuing through year 12 if you want to be a

ble to withdraw $70,000 per year forever, beginning 35 years from now? Assume the account earns interest at 10% per year.
Business
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

$2,583

Explanation:

The required value of your account at year 35 is:

$70,000 / 0.1 = $700,000

FV = $700,000. This is the required amount you need to have in your account 35 years from now

i/r = 10%. The interest that the account pays

n = 35 years

PV = 0

PMT (The amount of annual deposit required to achieve the target above. This is the missing value we need to calculate)

By using financial calculator, we obtain:

PMT = $2,583

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Consider the following information:
dimulka [17.4K]

Answer:

10.87% ; 17.95%

Explanation:

Expected return:

= (probability of recession × return during recession) + (probability of normal × return during normal) + (probability of boom × return during boom )

Expected return for stock A:

= (0.16 × 0.07) + (0.57 × 0.10) + (0.27 × 0.15)

= 0.1087

= 10.87%

Expected return for stock B:

= (0.16 × -0.11) + (0.57 × 0.18) + (0.27 × 0.35)

= 0.1795

= 17.95%

4 0
3 years ago
Southern Corp. has a debt-to-equity ratio of 1.75 and total assets of $275 million. Southern is considering issuing another $20
liberstina [14]

Answer:

1.625

Explanation:

Debt to equity ratio = Debt ÷ Equity

or

1.75 = Debt ÷ Equity

or

Debt = 1.75 × Equity

also,

Total assets = Debt + Equity

or

$275 million = 1.75 × Equity + Equity

or

$275 million = 2.75 × Equity

or

Equity = $100 million

Therefore,

Debt = $275 million - Equity

= $275 million -  $100 million

= $175 million

Now,

after issuance,

Total debt = $175 million + $20 million

= $195 million

and,

Equity = $100 million + $20 million

= $120 million

Therefore,

Southern’s debt-to-equity ratio after the issuance

= $195 million ÷ $120 million

= 1.625

7 0
3 years ago
You anticipate your firm will need 20,000 bushels of oats in December so you hedged your position today at the closing price whe
guapka [62]

Answer:

The answer is "2,040".

Explanation:

Since in the event the company needs the oats, it should take a long position today to hedge them. As indicated throughout the question, the price of the halftime show was set, and the present settling price of 218.50 cents was $2,1850. Moreover, the industry wants 20,000 boxes with oats and the next claim is 5,000, and that is why 4 agreements (20000/5 000) occupy a longer time. So the actual market price of $228.70, i.e. $22870, is 228.70 so hedging would have the corresponding profit/loss:

Gain/Loss = \text{(Market price on the date of settlement - Futures price at the date of booking)} \times Quantity\  hedged

= (2.2870- 2.1850)\times 20000  \\\\          = 0.102 \times 20000     \\\\       = 2040

8 0
3 years ago
What is Mexico's economy?
kati45 [8]
An early version of Taiwan's relationship with mainland China. the States represent mainland N.A.
5 0
3 years ago
Alex Karev has taken out a ​$ loan with an annual rate of percent compounded monthly to pay off hospital bills from his wife​ Iz
Tom [10]

Answer:

the question is incomplete, so I looked for a similar one:

<em>Alex Karev has taken out a ​$180,000 loan with an annual rate of 11% compounded monthly to pay off hospital bills from his wife​ Izzy's illness. If the most Alex can afford to pay is ​$3,500 per​ month, how long will it take to pay off the​ loan? How long will it take for him to pay off the loan if he can pay $4,000 per​ month?</em>

PVIFA = $180,000 / $3,500 = 51.42857

PVIFA = [1 - 1/(1 + i)ⁿ ] / i = [1 - 1/(1 + 0.11/12)ⁿ] / 0.11/12

51.42857 x 0.11/12 = 1 - 1/(1 + 0.11/12)ⁿ

0.47143 = 1 - 1/(1 + 0.11/12)ⁿ

1/(1 + 0.11/12)ⁿ = 1 - 0.47143 = 0.52857

1 / 0.52857 = (1 + 0.11/12)ⁿ

1.89189 = 1.009167ⁿ

n = log 1.89189 / log 1.009167 = 0.2769 / 0.003963 = 69.87

n = 69.87 months

PVIFA = $180,000 / $4,000 = 45

PVIFA = [1 - 1/(1 + i)ⁿ ] / i = [1 - 1/(1 + 0.11/12)ⁿ] / 0.11/12

45 x 0.11/12 = 1 - 1/(1 + 0.11/12)ⁿ

0.4125 = 1 - 1/(1 + 0.11/12)ⁿ

1/(1 + 0.11/12)ⁿ = 1 - 0.4125 = 0.5875

1 / 0.5875 = (1 + 0.11/12)ⁿ

1.70213 = 1.009167ⁿ

n = log 1.70213 / log 1.009167 = 0.23099 / 0.003963 = 58.29

n = 58.29 months

4 0
3 years ago
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