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barxatty [35]
3 years ago
11

Assume that at retirement you have accumulated $500,000 in a variable annuity contract. The assumed investment return is 6%, and

your life expectancy is 15 years. What is the hypothetical constant-benefit payment?
Business
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

The hypothetical constant-benefit payment is <u>$51,481.38</u>.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)

Where;

PV = Present value accumulated retirement benefit = $500,000

P = Annual hypothetical constant-benefit payment = ?

r = investment return = 6%, or 0.06

n = life expectancy = 15

Substitute the values into equation (1) and solve for P, we have:

$500,000 = P * [{1 - [1 / (1 + 0.06)]^15} / 0.06]

$500,000 = P * [{1 - [1 / 1.06]^15} / 0.06]

$500,000 = P * 9.712248987741

P = $500,000 / 9.712248987741

P = $51,481.38

Therefore, the hypothetical constant-benefit payment is <u>$51,481.38</u>.

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Miller owns a personal residence with a fair market value of $380,900 and an outstanding first mortgage of $304,720, which was u
Romashka [77]

Answer:

$304,720

Explanation:

According to the IRS, qualified principal residence indebtedness may include:

1)  Debt incurred in order to purchase, build or improve your house or main residence, and the debt is secured by the house or principal residence (mortgage).

Or

2) Any house debt in (1) that is refinanced in order to improve, build or purchase something of your house or principal residence, e.g. you refinance your mortgage in order to build a swimming pool. The loan balance cannot exceed the original mortgage.

A fishing boat is not considered a home improvement, so the equity loan is not considered qualified residence indebtedness.

6 0
3 years ago
Coronado Industries is contemplating the replacement of an old machine with a new one. The following information has been gather
Lostsunrise [7]

Answer:

$32,000

Explanation:

Net advantage = Annual operating cost

Net advantage = [(Old machine - New machine)*10 life] - New machine cost + Old machine cost

Net advantage = [($320000 - $240000)*10] - $800000 + $32000

Net advantage = [($80000)*10 - $768,000

Net advantage = $800,000 - $768,000

Net advantage = $32,000

So, the net advantage of replacing the old machine is $32,000

4 0
3 years ago
Phil purchased a car today at a price of $8,500. He paid $300 down in cash and financed the balance for 36 months at 5.75 percen
Yanka [14]

Answer:

\large\boxed{\large\boxed{\$ 248.53}}

Explanation:

The equation to calculate the <em>monthly payment</em> for fixed-rate loans is:

     Monthly\text{ }payment=Loan\times \bigg[\dfrac{r(1+r)^t}{(1+r)^t-1}\bigg]

Where:

  • Loan = $8500 - $300 = 8,200
  • r is the monthly interest = 5.75% / 12 = 0.0575/12 ≈ 0.00479
  • t is the number of moths = 36

Substituting:

Monthly\text{ }payment=\$8,200\times \bigg[\dfrac{(0.0575/12)(1+(0.0575/12))^{36}}{(1+(0.0575/12))^{36}-1}\bigg]=\$ 248.53

6 0
3 years ago
Following are interest rates (annual percentage rates) for a 30-year-fixed-rate mortgage from a sample of lenders in a certain c
aalyn [17]

Hey There!:

Sample Mean = 4.4823

SD = 0.1859

Sample Size (n) = 7

Standard Error (SE) = SD/root(n) = 0.0703

alpha (a) = 1-0.99 = 0.01

t(a/2, n-1 ) =  3.7074

Margin of Error (ME) =  t(a/2,n-1)x SE = 0.2606

99% confidence interval is given by:

Sample Mean +/- (Margin of Error)

4.4823 +/- 0.2606 = (4.222 , 4.743)

Hope this helps!

5 0
3 years ago
Laurey Inc. is working on its cash budget for May. The budgeted beginning cash balance is $45,000. Budgeted cash receipts total
Morgarella [4.7K]

Answer:

The company needs to borrow $10,000

Explanation:

First, let us state the information given clearly:

Beginning cash balance = $45,000

total cash receipt = $129,000

total cash disbursement = $124,000

desired ending cash balance = $60,000

Next Let us calculate the net cash available after the period's transactions:

Net available cash from transactions = total receipt - total disbursements

= 129,000 - 124,000 = $5,000

Next we were told that the beginning balance = $45,000

This means that without borrowing ;

the net ending cash balance = Net available cash from transactions + beginning cash balance = 5,000 + 45,000 = $50,000

Finally, we are told that the desired ending cash balance = $60,000, and the amount of cash available = $50,000, therefore to meet up the target, the amount that needs to be borrowed is calculated thus:

desired ending cash = available cash + borrowed amount

60,000 = 50,000 + borrowed amount

∴ borrowed amount = 60,000 - 50,000 = $10,000

hence the company needs to borrow $10,000

3 0
3 years ago
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