Answer:
Check Explanation section.
Explanation:
(1). The Gross method: in this kind of method, the sales and the cash are separately recorded.
Date: November 17, 2021.
Account titles and Explanation:
• Account receivable:
Lf = 0, Debit ($) = 42,000(100 units × 600 × 70% = 42,000). Credit ($). = 0.
• Sales revenue:
Lf = 0, Debit($) = 0, Credit ($) = 42,000(100 units × 600 × 70% = 42,000).
NB: the account receivable is debited in order to record sales.
Date: November 26, 2021.
Account titles and Explanation:
• cash:
Lf = 0, debit($) = 41,160( 42,000 × 98%), Credit ($) = 0.
• Sales discount:
Lf = 0, debit($) = 840( 42,000 × 2%). Credit ($) = 0.
• Account receivable:
Lf = 0, Debit($) = 0, credit ($) = 42,000.
(2). Date: November 17, 2021.
Account titles and Explanation:
• Account receivable:
Lf = 0, Debit ($) = 42,000(100 units × 600 × 70% = 42,000). Credit ($). = 0.
• Sales revenue:
Lf = 0, Debit($) = 0, Credit ($) = 42,000.
Date: December 15, 2021.
Account titles and Explanation:
• cash:
Lf = 0, debit($) = 42,000, Credit ($) = 0.
• Sales discount:
Lf = 0, debit($) = 42,000, Credit ($) = 0.
• Account receivable:
Lf = 0, Debit($) = 0, credit ($) = 42,000.
Total Variable Overhead Variance Mulliner Company showed the following information for the year:
Standard variable overhead rate (SVOR) per direct labor hour $3.50
Standard hours (SH) allowed per unit 3
Actual production in units 20,000
Actual variable overhead costs $220,500
Actual direct labor hours 61,200
Required:
1. Calculate the standard direct labor hours for actual production.
2. Calculate the applied variable overhead.
3. Calculate the total variable overhead variance.
Answer:
1. The standard direct labor hours for actual production
Standard hours per unit: 3 hours
Actual output: 20,000
Standard labour hours for actual production = 20,000 * 3
=60,000 hours
2. Applied variable Overhead
Standard hours allowed per unit = 3
Overhead rate per hour = $3.5
Standard Overhead rate per unit = Standard hours allowed per unit * OH rate per hour =3 hours * $3.5
=10.5
Actual output = 20000
Variable OH applied = Actual output * Standard Overhead rate per unit
= 20,000 * $10.5
= $210,000
3. Total Variable Overhead variance
Actual Oh incurred $220,500
Std variable Overhead to be allowed $210,000
Total Variable OH variance $10,500 (Unfavourable)
Profit or Loss on New Stock Issue Security Brokers Inc. specializes in underwriting new issues by small firms. On a recent offering of Beedles Inc., the terms were as follows: Price to public: $5 per share Number of shares: 3 million Proceeds to Beedles: $14,000,000 The out-of-pocket expenses incurred by Security Brokers in the design and distribution of the issue were $340,000. What profit or loss would Security Brokers incur if the issue were sold to the public at the following average price? $5 per share? Use minus sign to enter loss, if any. $ $6.25 per share? Use minus sign to enter loss, if any. $ $4.25 per share? Use minus sign to enter loss, if any.
Answer and Explanation:
The computation of profit or loss is shown below:
The formula used is
= (Price × number of shares) - proceeds to Beedles - out of pocket expenses
a. For $5 per share
= ($5 × 3 million shares) - $14,000,000 - $340,000
= $15,000,000 - $14,000,000 - $340,000
= $660,000
b. For $6.25 per share
= ($6.25 × 3 million shares) - $14,000,000 - $340,000
= $18,750,000 - $14,000,000 - $340,000
= $4,410,000
c. For $5 per share
= ($4.25 × 3 million shares) - $14,000,000 - $340,000
= $12,750,000 - $14,000,000 - $340,000
= -$1,590,000
The value of Mike Jackson’s shares in the New Frontiers Technology Fund is $51,400. The management fee for this particular fund is 0.80 percent of the total asset value. Calculate the management fee Mike must pay this year. (Round your answer to 2 decimal places.)
Answer:
$411.2
Explanation:
The value of Mike Jackson's shares in the New frontiers technology fund is $51,400
The management fee is 0.80%
= 0.80/100
= 0.008
Therefore, the amount of management fee that Mike must pay this year can be calculated as follows
Management fee= Total amount of investment × management fee percent
= $51,400×0.008
= $411.2
Hence the management percent fee that Mike must pay this year is $411.2
A company manufactures and sells a product for $120 per unit. The company's fixed costs are $68,760, and its variable costs are $90 per unit. The company's break-even point in dollars is:
Answer:
Break-even point (dollars)= $275,040
Explanation:
Giving the following information:
Selling price per unit $120
Variable cost per unit $90
Fixed expense per month $68,760
To calculate the break-even point in dollars, we need to use the following formula:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 68,760 / [(120 - 90)/120]
Break-even point (dollars)= $275,040
If a company is considering optimizing the physical location for every activity in the value chain, which of the following is not a possible strategic advantage for that decision?
A. Performance enhancement
B. Cost reduction
C. Political risk reduction
D. Life-cycle enhancement
Answer:
The correct answer is: D. Life-cycle enhancement
Explanation:
When a company wants to optimize physical locations for all activities in the value chain, it must manage all elements of the value chain to improve processes and increase the efficiency and effectiveness of the value chain. Therefore, some strategic advantages for this decision include the improvement of organizational performance, which would optimize the stages of the value chain, reducing waste, and the failures of the process, which would generate cost reduction. Compliance with legislation would also decrease political risks, being a significant strategic advantage for improving the value chain.
Therefore, the life-cycle enhancement may not constitute a strategic advantage, because this process requires greater capacity for the company to manage and monitor variable resources during the enhancement life cycle, which can generate greater difficulty in managing the value chain. and higher spending.
DeLong Corporation was organized on January 1, 2017. It is authorized to issue 14,500 shares of 8%, $100 par value preferred stock, and 450,000 shares of no-par common stock with a stated value of $3 per share. The following stock transactions were completed during the first year.
Jan. 10 Issued 84,500 shares of common stock for cash at $6 per share.
Mar. 1 Issued 5,150 shares of preferred stock for cash at $110 per share.
Apr. 1 Issued 23,500 shares of common stock for land. The asking price of the land was $91,000. The fair value of the land was $81,500.
May 1 Issued 84,000 shares of common stock for cash at $5.00 per share.
Aug. 1 Issued 10,000 shares of common stock to attorneys in payment of their bill of $39,500 for services performed in helping the company organize.
Sept.1 Issued 11,500 shares of common stock for cash at $7 per share.
Nov. 1 Issued 2,000 shares of preferred stock for cash at $111 per share.
Journalize the transactions.
Answer:
Jan. 10
Cash $507,00 (debit)
Common Stock $507,00 (credit)
Mar 1
Cash $566,500 (debit)
Preferred Sock $515,000 (credit)
Share Premium : Preferred Stock $51,500 (credit)
April 1
Land $91,000 (debit)
Common Stock $91,000 (credit)
May 1
Cash $420,000 (debit)
Common Stock $420,000 (credit)
Aug 1
Legal Expenses : Attorneys bill $39,500 (debit)
Common Stock $39,500 (credit)
Sept 1
Cash $80,500 (debit)
Common Stock $80,500 (credit)
Nov 1
Cash $222,000 (debit)
Preferred Sock $200,000 (credit)
Share Premium : Preferred Stock $22,000 (credit)
Explanation:
Common Stocks are at no par value:
This means that ,
1.When Common Stocks are Issued, the value is the issue price there is no share premium reserve on it.
2. For consideration paid in Common Stocks, value of stocks would be the same as the cost at initial recognition. For example the Purchase of Land on April 1. Initial recognition is at Asking Price of $91,000. Hence common stocks are issued at $91,000.
Preference Stocks are at $100 par
This means that,
1.Any issue of Preference Stock made in excess of par value is accounted in the Preference Share Premium Reserve.
Ringmeup Inc. had net income of $126,500 for the year ended December 31, 2019. At the beginning of the year, 45,000 shares of common stock were outstanding. On May 1, an additional 18,000 shares were issued. On December 1, the company purchased 4,300 shares of its own common stock and held them as treasury stock until the end of the year. No other changes in common shares outstanding occurred during the year. During the year, Ringmeup paid the annual dividend on the 7,000 shares of 4.25%, $100 par value preferred stock that were outstanding the entire year.
Calculate basic earnings per share of common stock for the year ended December 31, 2019.
Answer:
Earning per share = $3.18
Explanation:
In order to calculate basic earning per share firstly, we need to calculate the weighted average number of share outstanding
Shares months (months x shares)
1 January to 30 May 45,000 4 $180,000
1 May to 30 November 18,000 7 $126,000
1 Dec to 31 December 58,700 1 $58,700
Total 12 $364,700
Weighted average = $364,700/12
Weighted average = 30,391
Dividends required on preferred stock = 7000 x 4.25% x $100
Dividends required on preferred stock = $29,750
Net income available for shareholders = Net Income - dividend
Net income available for shareholders = $126,500 - $29,750
Net income available for shareholders = $96,750
Earning per share = Net Income/ no of shares
Earning per share = $96,750/30,391
Earning per share = $3.18
A company's income before interest expense and income taxes is $350,000 and its interest expense is $100,000. Its times interest earned ratio is:
Answer:
Times interest earned ratio is 3.5 times.
Explanation:
The times interest earned (TIE) ratio refers to a measure of the ability of company to honor its debt obligation form the current income of the company. TIE is also refereed to as interest coverage ratio and it can be calculated using the following formula:
TIE = EBIT / Interest expense .......................... (1)
Where;
EBIT = Earnings before interest and taxes = $350,000
Interest expense = $100,000
Substituting the values into equation (1), we have:
TIE = $350,000 / $100,000 = 3.5 times
This indicates that the income of the company is 3.5 times greater than its interest expense.
Ranger Corporation is currently selling widgets for $40 at a cost of $20 per unit. Fixed costs are currently $500 and the current production is 100 widgets. What is the Operating Cash Flow at this output level
Answer: $2000
Explanation:
From the question, we are informed that Ranger Corporation is currently selling widgets for $40 at a cost of $20 per unit and that the fixed costs are currently $500 and the current production is 100 widgets.
The Operating Cash Flow at this output level will be:
= (P - V) × Q
where p = selling price = $40
v = cost price = $20
q = quantity = 100
= ($40 - $20) × 100
= $20 × 100
= $2000
Assume the Small Components Division of Martin Manufacturing produces a video card used in the assembly of a variety of electronic products.The highest acceptable transfer price for the divisions is the Small Components Division's
Answer:
Minimum Transfer Price.
Explanation:
The price that is acceptable by Small Components Division when transferring to the internal division must cover the variable manufacturing cost (less internal savings) plus opportunity cost incurred.
This price is known as the Minimum Transfer Price for the Transferring Division (Small Components Division) and would never accept a transfer with any price lower than this.
You used to earn $76,000 a year in your old job! Suppose you return to college and earn an MBA, after which you get an upper-management position with Yum! Brands. If the tax rates are the same as in 2012 and your starting salary is $125,000, how much will you owe in federal social insurance taxes?
Answer:
Federal social insurance taxes include OASDI taxes (Social Security) and Medicare taxes. Currently. In 2012, the Social Security tax limit was $110,100, while their was no limit on Medicare.
The Social Security tax rate was temporarily reduced during 2011 and 2012 from 6.2% to 4.2%, so your Social Security tax withholdings were $4,624.20 in 2012.
Medicare taxes did not change in 2012 and were 1.45%, so your Medicare tax withholding were $1,812.50 in 2012.
Ann Chovies, owner of the Perfect Pasta Pizza Parlor, uses 20 pounds of pepperoni each day in preparing pizzas. Order costs for pepperoni are $10.00 per order, and carrying costs are $0.04 per pound per day. Lead time for each order is 3 days, and the pepperoni itself costs $3.00 per pound. If she were to order 80 pounds of pepperoni at a time, what would be the average invent
Answer:
40 pounds would be the average inventory
Explanation:
Total Order quantity= 80 pounds
Average inventory level = Order quantity / 2
= 80 pounds / 2
= 40 pounds
Hence, 40 pounds would be the average inventory
Duerr company makes a $75,000, 60-day, 11% cash loan to Ryan Co. The maturity value of the loan is: (Use 360 days a year.)
Answer:
The maturity value of the loan is $76,375.00
Explanation:
The maturity value of the loan comprises of the face value of the loan plus the interest accrued over the 60-day period as shown below:
face value of the loan=$75000
interest=$75000*11%*60/360
interest on loan=$1375
maturity value=$75000+$1375
maturity value=$76,375.00
Genent Industries, Inc. (GII), developed standard costs for direct material and direct labor. In 2017, GII estimated the following standard costs for one of their major products, the 30−gallon heavy−duty plastic container. Budgeted quantity Budgeted price Direct materials 0.3 pounds $20 per pound Direct labor 0.7 hours $20 per hour During July, GII produced and sold 4,000 containers using 1,500 pounds of direct materials at an average cost per pound of $17 and 2,875 direct manufacturing labor hours at an average wage of $20.50 per hour. July's direct material flexible−budget variance is ________.
Answer:
July's direct material flexible−budget variance is $ 1500.unfav
Explanation:
Genent Industries, Inc. (GII),
Budgeted quantity Budgeted price
Direct materials 0.3 pounds $20 per pound
Direct labor 0.7 hours $20 per hour
Actual Price for 15000 pounds and 2,875 DLH
Direct Materials $17 per pound
Direct manufacturing labor hours wages $20.50 per hour.
July's direct material flexible−budget variance is $ 1500. unfav
Budgeted Cost for 4000 containers -Actual Cost for 4000 containers
= $ 24000- $ 25500 = $ 1500
Since the actual cost is greater it is unfavorable
Flexible Budget Variance is obtained by subtracting actual costs from flexible budget costs at a given volume.
1 container requires 0.3 pounds
4000 containers require 0.3 * 4000= 1200 pounds
But actually 1500 pounds were used .
Now costs
Budgeted Costs for 1200 pounds is = 20 *1200= $24000
Actual Costs for 1500 pounds is = 17* 1500 = $ 25 500
Your product fails about 2% of the time, on average. Some customers purchase the extended warranty you offer in which you will replace the product if it fails. Suppose that you have currently set the price of the extended warranty at 2% of the product price. An analyst at your company argues that after purchasing the extended warranty, customers are less likely to exercise caution when using the product because they will know that they can get their product replaced. The analyst is claiming that will cause the claim rate to be than 2%. True or False: You should set the price of the extended warranty at less than 2% of the product price. True False
Answer:
The answer is going to be true
Preferred stock is a form of debt financing because the dividend must be paid before dividends can be paid to the equity owners.
Answer:
False
Explanation:
Preference stock is a type of ownership of equity whereas the bond is the form of debt. The preference stock is the stock in which the dividend is fixed and to be paid before paying the common shareholders.
it includes the features like no voting rights, fixed dividend
Therefore the given statement is false
Rustafson Corporation is a diversified manufacturer of consumer goods. The company's activity-based costing system has the following seven activity cost pools
Activity Cost Pool Estimated Overhead Cost Expected Activity
Labor-related $ 52,000 8,000 direct labor-hours
Machine-related $ 15,000 20,000 machine-hours
Machine setups 42,000 1,000 setups
Production orders 18,000 500 orders
Product testing $48,000 2,000 tests
Packaging $ 75,000 5,000 packages
General factory 108,800 8,000 direct labor-hours
a. Compute the activity rate for each activity cost pool. (Round your answers to 2 decimal places.)
b. Compute the company's predetermined overhead rate, assuming that the company uses a single plantwide predetermined overhead rate based on direct labor-hours. (Round your answer to 2 decimal places.)"
Answer and Explanation:
a. The computation of the activity rate is shown below:
(a) (b) (a ÷ b)
Activity Estimated Expected Activity rate
Cost Pool Overhead Cost Activity
Labor-related $52,000 8,000 $6.50
direct labor-hours
Machine-related $15,000 20,000 $0.75
machine-hours
Machine setups 42,000 1,000 setups $42
Production orders 18,000 500 orders $36
Product testing $48,000 2,000 tests $24
Packaging $75,000 5,000 packages $15
General factory 108,800 8,000 $13.60
direct labor-hours
Total $358,800
b. The company predetermined overhead rate is shown below:
= Total estimated overhead cost ÷ direct labor hours
= $358,800 ÷ 8,000 direct labor hours
= $44.85
what is the most important function of a leader within an organization
Answer:
Leadership is the action of leading people in an organization towards achieving goals. Leaders do this by influencing employee behaviors in several ways. A leader sets a clear vision for the organization, motivates employees, guides employees through the work process and builds morale.
Explanation:
Answer:
building consouis
Explanation:
i hopppeee this helps :)
Tan Corporation issued $600,000,000 of 7% bonds on November 1, 2015, for $644,636,000. The bonds were dated November 1, 2015, and mature in 10 years, with interest payable each May 1 and November 1. The effective-interest rate is 6%. Prepare Tan’s December 31, 2015, adjusting entry. Use effective rate method of amortization
Answer:
Interest Expense $6,446,360
Interest Payable $7,000,000
Explanation:
Interest Expense for the year =
Issued amount * Effective interest rate * [tex]\frac{Remaining months in the year}{Total months in the year}[/tex]
$644,636,000 * 0.06 * 2/12 = $6,446,360
Interest Payable =
Face Value of the bond * Interest rate * [tex]\frac{Remaining months in the year}{Total months in the year}[/tex]
$600,000,000 * 0.07 * 2/12 = 7,000,000
The Borio Company had an asset with an $8 book value and a $7 market value; it decided to distribute the asset as a property dividend. Journal entries were made to adjust the property to market value and declare the dividend. Indicate the combined effect on the Net Income and Total Assets, respectively:
Answer:
The net income will decrease and also the total assets will also decrease
Explanation:
Here, we want to know the combined effect on net income and total assets of company that made a decision of distributing assets as a property dividend.
As the asset value is down the entry is asset (credit) and loss on asset (debit)
This will effect the net income as it will come down and total assets value also come down
SuspendHers Inc., a maker of fashionable belts and accessories for women, plans to expand in the EU marketplace. To do so, the EU requires the company to
Answer:
Certify its product under ISO 9000.
Explanation:
ISO 9000 refers to the International Organization for Standardization that focused on the management of the quality related to the product and services by complying with the documents required so that the quality could be maintained. It is to be applied with any industry whether it is small, middle or large
Therefore while making fashionable belts and accessories for women and planned to diversify it that required the ISO 9,000 and the same is to be considered
you are going to deposit $19000 today. You will earn an annual rateof 3.3 percent for 11 years, and then earn an annual rate of 2.7 percent for 14 years. how much will you have in your account in 25 years?
Answer:
After 25 years you will have in your account $42,782.05.
Explanation:
First find the Future value of $19000 invested today at the end of 11 years.
PV = - $19,000
Pmt = $0
P/yr = 1
r = 3.30%
n = 11
FV = ?
Using a Financial calculator, the Future Value (FV) after 11 years will be $27,155.46.
Use the $27,155.46 to find future value at the end of the next 14 years at the rate of 2.70%
PV = - $27,155.46
Pmt = $0
P/yr = 1
r = 3.30%
n = 14
FV = ?
Using a Financial calculator, the Future Value (FV) after 14 years will be $42,782.05.
Thus, after 25 years you will have in your account $42,782.05.
Gift property (disregarding any adjustment for gift tax paid by the donor): a.Has the same basis to the donee as the donor's adjusted basis if the donee disposes of the property at a gain. b.Has the same basis to the donee as the donor's adjusted basis if the donee disposes of the property at a loss, and the fair market value on the date of gift was less than the donor's adjusted basis. c.Has a zero basis to the donee if the fair market value on the date of gift is less than the donor's adjusted basis. d.Has no basis to the donee because he or she did not pay anything for the property.
Answer: Has the same basis to the donee as the donor's adjusted basis if the donee disposes of the property at a gain.
Explanation:
For a gifted property, it should be noted that the tax basis for a donee that is, the person who gets the gift will be identical to that of the donor, this is, the person that donates the gift in cases whereby the property is gotten as a gift.
Therefore, a gift property disregarding any adjustment for gift tax paid by the donor will have the same basis to the donee as the donor's adjusted basis if the donee disposes of the property at a gain.
Situational Software Co. (SSC) is trying to establish its optimal capital structure. Its current capital structure consists of 30% debt and 70% equity; however, the CEO believes that the firm should use more debt. The risk-free rate, rRF, is 6%; the market risk premium, RPM, is 7%; and the firm's tax rate is 40%. Currently, SSC's cost of equity is 15%, which is determined by the CAPM. What would be SSC's estimated cost of equity if it changed its capital structure to 50% debt and 50% equity? Round your answer to two decimal places. Do not round intermediate steps. %
Answer:
The estimated cost of equity is 10.3%
Explanation:
Step 1: Find Levered Beta
The CAPM formula would be used here to find the Levered Beta. CAPM formula is given as under:
Ke = Rf + Beta * (MRP - Rf)
Current Cost of Equity of company is ke and is 15%,
Risk free rate is Rf and is 6%
Market risk premium is 7%
15% = 6% + Beta* (7% - 6%)
Levered Beta = 9
Step 2: Find the Unlevered Beta
As we know that existing Debt to Equity ratio is (30 / 70), we can use the following formula to calculate the unlevered beta:
Unlevered Beta = Levered Beta / (1 + (1-t) * D/E)
Simply by putting values, we have:
Unlevered Beta = 1.2 / (1 + (1 - 40%) * 30/70) = 7.16
Step 3: Calculate levered beta on new debt to equity ratio
Now
New Debt to Equity Ratio is 1 (50 / 50)
As we know that:
Levered Beta = Unlevered Beta * (1 + (1-t) * Debt / Equity)
Levered Beta = 7.16 * (1 - 40%) * 1) = 4.3
Step 4: Use CAPM formula to calculate Cost of equity on new gearing
Using CAPM formula, we have:
Ke = Rf + Beta * (MRP - Rf)
Ke = 6% + 4.3 * 1% = 10.3%
The Mixing Department of Complete Foods had 62,000 units to account for in October. Of the 62,000 units, 38,000 units were completed and transferred to the nest department, and 24,000 units were 20% complete. All of the materials are added at the beginning of the process. Conversion costs arc added evenly throughout the mixing process and the company uses the weighted-average method.
Compute the total equivalent units of production for direct materials and conversion costs for October.
Answer:
The total equivalent units of production are as follows:
For direct materials = 62,000 units
For conversion costs = 42,000 units
Explanation:
These can be computed by preparing statements of equivalent units as follows:
Statement of Equivalent Units (EU) (Weighted average)
For October
For Materials
Particulars Units (a) Complete (%) (b) EU (c = a * b)
Transferred 38,000 100% 38,000
Ending WIP 24,000 100% 24,000
Total 62,000 62,000
Statement of Equivalent Units (EU) (Weighted average)
For October
For Conversion Costs
Particulars Units (a) Complete (%) (b) EU (c = a * b)
Transferred 38,000 100% 38,000
Ending WIP 24,000 20% 4,800
Total 62,000 42,000
Conclusion
The total equivalent units of production are as follows:
For direct materials = 62,000 units
For conversion costs = 42,000 units
Economists do not see any difficulty in measuring pleasure and believe that consumer behavior can be measured perfectly using of marginal values.
a. True
b. False
Answer:
b false
Explanation:
pleasure of consumers change as time goes on
Pearls, Pearls, Pearls! manufactures and sells jewelry. The total variable cost of goods sold this month is $72,490. Variable selling and administrative cost is $22 per unit sold. If 350 units are produced and 314 units are sold this month, the total variable cost reported on the income statementforthe month is $:___________
Answer:
Total variable cost= $71,940.54
Explanation:
Giving the following information:
The total variable cost of goods sold this month is $72,490.
Variable selling and administrative cost is $22 per unit sold.
350 units are produced and 314 units are sold this month.
First, we need to calculate the unitary variable cost per unit:
Unitary production cost= 72,490/350= $207.11
Now, we can calculate the total variable cost:
Total variable cost= (207.11 + 22)*314= $71,940.54
Suppose you inherited $275,000 and invested it at 8.25% per year. How much could you withdraw at the end of each of the next 20 years
Answer:
$28,533.5
Explanation:
Principal value (PV) = $275,000
Time = 20 years
Rate = 8.25%
Present Value = P ((1-(1+R)^-n) / r)
275,000 = P ((1- (1 + 0.0825)^-20) /.0825)
275,000 x .0825 = P (1-(1/1.0825)^20)
22687.5 = P ((1.0825^20 - 1) / (1.0825 ^20))
22687.50 = P (4.8816 - 1 / 4.8816)
22687.5 = P (3.886 / 4.8816)
22687.5 = p(0.7951)
P = 22687.5 / 0.7951
P = $28533.5
Suppose the current term structure of interest rates, assuming annual compounding, is as follows: s_1s 1 s_2s 2 s_3s 3 s_4s 4 s_5s 5 s_6s 6 7.0% 7.3% 7.7% 8.1% 8.4% 8.8% What is the discount rate d(0,4)d(0,4)? (Recall that interest rates are always quoted on an annual basis unless stated otherwise.)
Answer: The answer is 7.53%
Explanation:
To calculate for the discount rate of d(0,4)d(0,4)
The discount factor is : d=1/1+i
Provided the interest rates are compounded annually the discount factor will give the present value of the bond when provided with the interest rate and maturity value.
Going with the above, the present value of a bond with a maturity value of 1 will be;
Present value=1 /(1+i1) (1+i) (1+i3) (1+i4)
Present value=1 / (1.07) (1.073) (1.077) (1.081)
Present value=0.748
The present value of a bond with a maturity value of 1 will hence be 0.748.
Therefore, to calculate the discounting factor for the 4 years:
1 (1+d (0,4))‐⁴ =0.748
(1+d(0,4))=0.748‐¹/⁴
1+d (0,4) =1.0753
d (0,4)=0.0753
Finally, the discount rate will be 7.53%
Ben has $500 in his savings account and the bank pays an interest rate of 10 percent a year. The inflation rate is 6 percent a year. The government taxes the interest that Ben earns on his deposit at 20 percent. Calculate the nominal after-tax interest rate and the real after-tax interest rate that Ben earns.
Answer:
Nominal after-tax interest rate = 8%Real After-Tax Interest Rate = 2%Explanation:
The Nominal rate is 10%
Inflation rate is 6%
And Tax rate is 20%
Nominal after-tax interest rate
= Nominal rate (1 - tax rate)
= 10% ( 1 - 0.2)
= 8%
Real After-Tax Interest Rate
= Nominal after-tax interest rate - inflation rate
= 8% - 6%
= 2%