10,000 can be invested under two options: Option 1. Deposit the 10,000 into a fund earning an effective annual rate of i; or Option 2. Purchase an annuity-immediate with 24 level annual payments at an effective annual rate of 10%. The payments are deposited into a fund earning an effective annual rate of 5%. Both options produce the same accumulated value at the end of 24 years. Calculate i.
Answers
Answer:
I = 0.06894
Explanation:
The investment amount into 2 options is given as 10000
10000x(1+I)²⁴ is the accumulated value of option a
10000x0.10/(1-i)/1.1²⁴/0.05x1.05^24-1
= 49530.62522
To get I
(49530.62522/10000)^1/24-1
= 1.068995077 - 1
= 0.06894
Related Questions
Macroeconomic is the branch of economics that focuses on ?
Answers
Answer:
economic principles affecting entire countries
Explanation:
Jerry works as an accountant in a manufacturing firm. His firm has sold goods to customers on credit, while the full payment for the goods is expected after a month. In which category should Jerry mention the price of these goods? A. accounts payable B. accounts receivable C. cost of goods sold D. depreciation E. operating expenses
Answers
Answer:
If we are talking about the price Jerry and his firm purchased goods for I would say "Cost of goods sold", if we are talking about the revenue that will be collected from customers in the future I would say "accounts recceivable"
Explanation:
Answer:
the answer is b. accounts receivable
Explanation:
a word-for-word copy from edmentum:
"Accounts receivable: Let’s say that a business sells goods to a customer on credit. The customer plans to make the payment a few months later. A business recognizes this amount as a current asset called accounts receivable until it receives the payment."
The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 26 percent of its business on Friday night, 34 percent on Saturday night, and 24 percent on Thursday night. What seasonal relatives would describe this situation?
Answers
Answer: See Explanation
Explanation:
The work done for each day is written below:
Thursday night = 24%
Friday night = 26%
Saturday night = 34%
Wednesday night = 100% - (24% + 26% + 34%) = 100% - 84% = 16%
Let's assume that sales in a week is represented by x. Therefore average sales in week if x = 1 will be 1/4 = 0.25.
Seasonal relative will be:
= Sales in a day /Average sales in a week
Wednesday = 16% / 0.25 = 0.16 / 0.25 = 0.64
Thursday = 24% / 0.25 = 0.96
Friday = 26% / 0.25 = 1.04
Saturday = 34% / .25 = 1.36
The four people below have the following investments. Invested Amount Interest Rate Compounding Jerry $ 11,400 12 % Quarterly Elaine 14,400 6 Semiannually George 21,400 8 Annually Kramer 17,400 10 Annually Required: 1-a. Calculate the future value at the end of five years
Answers
Answer:
Jerry
$20,589.67
Elaine
$19,352.40
George
$31,443.62
Kramer
$28,022.87
Explanation:
Use following formula to calculate the future value
FV = PV ( 1 + r )^n
Where
PV = Present value = Investment
FV = Future value = ?
r = interest rate per compounding period
n= numbers of compounding periods
Jerry
PV = $11,400
r = 12% x 3/12 = 3%
n = 5 years x 12/4 = 20 periods
Placing values in the formula
FV = $11,400 x ( 1 + 3% )^20
FV = $20,589.67
Elaine
PV = $14,400
r = 6% x 6/12 = 3%
n = 5 years x 12/6 = 10 periods
Placing values in the formula
FV = $14,400 x ( 1 + 3% )^10
FV = $19,352.40
George
PV = $21,400
r = 8%
n = 5 years
Placing values in the formula
FV = $21,400 x ( 1 + 8% )^5
FV = $31,443.62
Kramer
17,400 10 Annually
PV = $17,400
r = 10%
n = 5 years
Placing values in the formula
FV = $17,400 x ( 1 + 10% )^5
FV = $28,022.87
The future values of the investments are computed as follows:
Invested Amount Interest Rate Compounding Future Value
Jerry $ 11,400 12% Quarterly $20,589.67
Elaine 14,400 6% Semiannually $19,352.40
George 21,400 8% Annually $31,443.62
Kramer 17,400 10% Annually $28,022.87
Data and Calculations:
Jerry:
N (# of periods) = 20 (5 x 4)
I/Y (Interest per year) = 12%
PV (Present Value) = $11,400
PMT (Periodic Payment) = 0
Results
Future Value = $20,589.67
Total Interest $9,189.6
Elaine:
N (# of periods) = 10 (5 x 2)
I/Y (Interest per year) = 6%
PV (Present Value) = $14,400
PMT (Periodic Payment) = 0
Results
Future Value = $19,352.40
Total Interest = $4,952.40
George:
N (# of periods) = 5 years
I/Y (Interest per year) = 8%
PV (Present Value) = $21,400
PMT (Periodic Payment) = 0
Results
Future Value = $31,443.62
Total Interest = $10,043.62
Kramer:
N (# of periods) = 5 years
I/Y (Interest per year) = 10%
PV (Present Value) = $17,400
PMT (Periodic Payment) = 0
Results
Future Value = $28,022.87
Total Interest = $10,622.87
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One of the draw backs of the profitablity index as a criteria for judging whether to accept a capital investment project is that:_______
Answers
Answer:
It might lead to over-optimistic projections
Explanation:
In simple words, the problem with using profitability index as the index criteria lies with the procedure of estimating it. In order to consider the business situation, the organisational finance group requires to settle with the corporation supervisors.
Leadership may be too enthusiastic about their assignment, so forecasts for cash flow may be too substantial. Consequently, in predicting the profitability index, there may be an uptrend prejudice.
How can parties that have unequal bargaining power negotiate meaningfully,
without one party taking advantage of the other?
Answers
Answer:
Through Collaborative bargaining
Explanation:
Parties that have an unequal bargaining power can negotiate meaningfully, without one party taking advantage of the other through the method known as collaborative bargaining. In collaborative bargaining, both the involved parties listen to each other’s claims and issues and then collaborate to come to a consensus. There is transparency in the overall bargaining process and hence there is very less probability that one party is taking advantage of the other party.
When Patricia sells her Apple stock at the same time that Brian purchases the same amount of Apple stock, Apple receives:_____________.
a. nothing.
b. only the market value of the common stock.
c. the dollar value of the transaction.
d. the dollar amount of the transaction, less brokerage fees.
Answers
Answer:
When Patricia sells her Apple stock at the same time that Brian purchases the same amount of Apple stock, Apple receives:_____________.
a. nothing.
Explanation:
The activities of investors on the Stock Exchange market do not affect the corporation, whose stocks are being traded. The corporation does not get any money nor does it incur any cost. Patricia may get a capital gain from the sale and not the corporation. When Brian purchases Apple stock it is purchased from another investor and not directly from the corporation unless it is an initial public offer.
WHAT IS IT?
1.it can be use as thickening agent or as a weak glue
3.a food spread made from dry roasted peanuts
Answers
Answer:
I believe its Peanut Butter.
A deposit of $1000 is made in a bank account that pays 24% interest per year compounded quarterly. Approximately how much money will be in the account after 10 years
Answers
Answer:
$10,285.72
Explanation:
In this scenario, we can use the compound interest formula to calculate the total after 10 years. The formula is the A = P * [tex](1 + r/n)^{nt}[/tex]
where,
A = final value after interest
P = initial investment amount
r = annual interest rate in decimal form
n = number of time the interest is compounded based on t
t = total amount of time
In this case, the interest is compounded quarterly meaning 4 times a year, therefore we can plug all the values into the formula and solve for A
A = P * [tex](1 + r/n)^{nt}[/tex]
A = 1000 * [tex](1 + 0.24/4)^{4*10}[/tex]
A = 1000 * [tex](1.06)^{40}[/tex]
A = 1000 * 10.2857
A = 10,285.72
Therefore after 10 years the account will have a total of $10,285.72
At the end of 2021, Windsor Co. has accounts receivable of $749,900 and an allowance for doubtful accounts of $23,580. On January 24, 2022, it is learned that the company’s receivable from Madonna Inc. is not collectible and therefore management authorizes a write-off of $4,564.
(a)
Prepare the journal entry to record the write-off. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Answers
Answer:
DR Allowance for Doubtful Debt $4,564
CR Accounts Receivable $4,564
Using the Allowance method means that an allowance has already been provided from which uncollectible accounts will be deducted from.
When an amount is uncollectible therefore, it will be debited to the Allowance account to reduce it. Accounts receivable will be credited to recognise that a receivable is now uncollectible.
Irfan runs a small business. His business’s total liabilities amount to $200,000. His net profit for the latest accounting period is $50,000. The total value of all the business assets comes to $600,000. What is the debt to asset ratio in the case of Irfan’s business? The debt to assets ratio of Irfan’s business, to two decimal places, is percent.
Answers
Small businesses are either services or retail operations like grocery stores, medical stores, tradespeople, bakeries, and small manufacturing units.
What is the meaning of Small businesses?Small companies typically offer services or are retail establishments like grocery stores, pharmacies, tradesmen, bakeries, and micro-manufacturing facilities. Small businesses are privately held companies that need less equipment, labor, and cash than larger companies.
The most straightforward type of business is a sole proprietorship. Small businesses are distinct legal entities such as corporations, partnerships, and sole proprietorships that have fewer employees and/or lower yearly income than a regular-sized company. Businesses are considered "small" if they are eligible for government assistance and favorable tax treatment.
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Ms. Smith employs 50 salespeople to sell copiers. If she wants information on the typical number of copiers sold by a salesperson, which Data Analysis tool should she use
Answers
Answer:
Descriptive statistics
Explanation:
If Ms smith wants information on the typical number of copiers sold by a salesperson she has to use descriptive statistics.
Descriptive statistics is used to describe data. It gives basic summary of the sample and also measures. It entails the usage and analysis of the collected data. Therefore descriptive statistics is the data analysis tool that she would need.
The year-end financial statements of Rally Company for the current year, report total revenues of $19,829 million, accounts receivable of $1,272 million at the current year-end, and $1,19 million for the prior year-end. The company's accounts receivable turnover for the year is:_______.
a. 18.3 times.
b. 18.9 times.
c. 19.5 times.
d. 20.0 times.
e. none of these are correct.
Answers
Answer:
16.1 times
Explanation:
Calculation for the company's accounts receivable turnover for the year
Using this formula
Accounts Recievable Turnover = Total Revenues/Average accounts receivables
Let plug in the formula
Accounts Receivable Turnover = $19,829/[($1,272+$1,198)/2]
Accounts Receivable Turnover =$19,829/$1,235
Accounts Receivable Turnover = 16.1 times
Therefore The company's accounts receivable turnover for the year is: 16.1 times
Mario a publicly held corporation with a 21 percent tax rate, has agreed to pay an annual salary of 1.3 million to its employees Mrs. ryman in making your calculations ignore the employer payroll tax
Answers
Answer:
ah
Explanation:
Southeast Airline had retained earnings of $1.5 million, sales of $5 million and net income of $0.5 million this year. It also paid dividends of $0.2 million this year. If the sales is projected to increase by 20% next year, what is the projected retained earnings for next year?
Answers
Answer:
$1.86 million
Explanation:
Given the above data, we can calculate the retained earning for next year to be;
Retained earning this year end = $1.5 million retained earning at the beginning + $0.5 million net income - $0.2 million dividends
= $1.8 million
Watters Umbrella Corp. issued 15-year binds two years ago at a coupon rate of 6.2 percent. The bonds make semiannual payments. If these bonds currently sell for 98 percent of par value, what is the YTM?
Answers
Answer:
YTM = 6.42%
Explanation:
current market value = $1,000 x 98% = $980
n = (15 - 2) x 2 = 26
coupon = $1,000 x 6.2% x 1/2 = $31
face value = $1,000
YTM = [coupon + [(face value - market value)/n]} / [(face value + market value)/2]
YTM = [31 + [(1,000 - 980)/26]} / [(1,000 + 980)/2]
YTM = (31 + 0.77) / 990 = 31.77 / 990 = 0.03209 x 2 (annual yield) = 0.641818 = 6.42%
Keith Company paid Major Company for merchandise with an $8,000, 60-day, 9% note dated April 1. If Keith Company pays the note at maturity, what entry should Major make at that time?a. cash 8,720 720 interest income 8,000 notes receivable b. notes payable 8,000 720interest expense 8,720 cashc.cash 8,120 interest income 120 notes receivable 8,000 d. notes payable 7,880 interest expense 120 cash 8,000
Answers
Answer:
c.Dr Cash 8,120
Cr Interest income 120
Cr Notes receivable 8,000
Explanation:
Based on the information we were told that the Company paid another company which is Major Company for merchandise with an amount of $8,000 which includes 60-day as well as 9% note dated April 1 which means that if Keith Company pays the note at maturity the journal entry that Major should make at that time will be:
Dr Cash 8,120
(8,000+120)
Cr Interest income 120 (8,000*9%/360*60)
Cr Notes receivable 8,000
A firm operated at 90% of capacity for the past year, during which fixed costs were $420,000, variable costs were 40% of sales, and sales were $1,000,000. Operating income was:____________.
a. $420,000
b. $980,000
c. $180,000
d. $1,080,000
Answers
Answer:
A
Explanation:
Based on the fixed and variable costs, as well as the sales amount, the operating income was C. $180,000.
What was the operating income?This can be found as:
= Sales - Variable costs - Foxed costs
Solving gives:
= 1,000,000 - (40% x 1,000,000) -420,000
= 1,000,000 - 400,000 - 420,000
= $180,000
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Which financial statement would include a listing of a companies assets
Answers
Answer:
Balance Sheet
Explanation:
In accounting, Balance sheet will show a complete listing of assets, liabilities and Equity of a company within a specific time period. (For most companies, the balance sheet will be made at each end of the year)
under the Assets segment, Balance sheet will specify several accounts arranged based on their liquidity. Cash usually put at the top of the list since it's considered as the most liquid assets.
People use balance sheet to give a general measurement on Company's financial health. If for example, they noticed that the liability is significantly larger than their assets, investors might feel discourage to invest in the company.
International trade specialists that buy goods at a discount from a small businesses and resell them abroad are called
A. commission house brokers
B. exporting trade companies
C. business trade unions
D. domestic channel companies
Answers
Answer: B. exporting trade companies
Explanation:
Trade unions are the organisations that are out in place so as to protect the interest of workers. They negotiate for better wages and salaries, provide job security, and seek better working conditions for their workers.
Export trading company is simply referred to as an independent company that helps in the provision of support services to the companies that are involved in the exportation of goods and services.
Commission house brokers is simply an individual who helps in representing people who have properties.
Therefore, the answer is exporting trade companies.
A trading arrangement that eliminates most or all barriers to trade among participating nations and utilizes common barriers to trade with other countries outside the group is called a
Answers
Answer:
preferential trade agreement
Explanation:
This agreement is known as a preferential trade agreement. It is called this because it tends to make it easier for specific goods to be traded but only to the countries that are part of the group and/or agreement. This agreement also makes it harder for countries that are not part of the agreement to be able to trade with the countries that are in order to maintain the countries within the agreement trading with each other.
Hoffman Company purchased merchandise on account from a supplier for $65,000, terms 1/10, n/30. Hoffman Company returned $7,500 of the merchandise and received full credit.
a. If Hoffman Company pays the invoice within the discount period, what is the amount of cash required for the payment?
b. What account is debited by Hoffman Company to record the return?
Answers
Answer: a. $56925 ; b. Account payable
Explanation:
a. If Hoffman Company pays the invoice within the discount period, what is the amount of cash required for the payment?
Purchase invoice = $65000
Less: Return = ($7500)
Net Purchase Invoice = $57500
Less: Discount = $57500 × 1% = $575
Cash received = $56925
b. What account is debited by Hoffman Company to record the return?
The account that is debited by Hoffman Company to record the return is the account payable.
Your firm has a debt-equity ratio of .75. Your pre-tax cost of debt is 8.5% and your required return on assets is 15%. What is your cost of equity if you ignore taxes? (Use MM Prop II, No Tax).
A. 11.25%
B. 12.21%
C. 16.67%
D. 19.88%
E. 21.38%
Answers
Answer:
D. 19.88%
Explanation:
The computation of the cost of equity is shown below:
Cost of equity = Return on assets + Debt equity ratio × (Return on assets -pre tax cost of debt)
= 0.15 + 0.75 × (0.15 - 0.085)
= 0.19875 or 19.88%
Hence, the correct option is D. 19.88%
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Under the provisions of the Investment Advisers Act of 1940, if an adviser takes custody of customer funds or securities, account statements MUST be sent to the customer:
Answers
Answer:
Quarterly
Explanation:
According to the provisions of the Investment Advisers Act of 1940, in the case when an advisor takes the customer custody in term of funds or securities so the account statement must be sent to the customer on the a quarterly basis i.e. four times in a year. Here four times means every three months
therefore as per the given situation, the quarterly is the answer