Answer:
1. a. 4.081%
2. c. $23,536.36
Explanation:
1. Periodic rate=(4.4%/4) = 1.1%
EAR=(1+APR/m)^m-1
where m=compounding periods
= (1+0.044/4)^4-1
= 1.011^4 - 1
= 1.04473133864 - 1
= 0.04473133864
= 4.47%
EAR=(1+APR/m)^m-1
where m=compounding periods
=(1+0.04/365)^365-1
= (1+0.00010958904)^365 - 1
= 1.00010958904^365 - 1
= 1.04080849272 - 1
= 0.04080849272
= 4.081%
2. A=P(1+r/365)^365*n
where A=future value, P=present value, r=rate of interest, n=time period.
= 22000*(1+9%/365)^(9/12*365)
= $23,536.36
Under the allowance method for uncollectible accounts, the journal entry to record the estimate of uncollectible accounts would include a credit to
Answer and Explanation:
The journal entry to record the estimation of the uncollectible accounts is shown below:
Bad debt expense XXXX
To Allowance of doubtful debts XXXX
(Being the estimation of the uncollectible account is recorded)
Here the bad debt expense is debited as it increases the expenses account and credited the allowance as it decreased the assets
Hence, the same is to be considered
A bank offers 8.00% on savings accounts. What is the effective annual rate if interest is compounded semi-annually?Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))
Answer:
Effective Annual Rate = 8.1600%
Explanation:
The effective annual rate the interest rate that is adjusted for compounding over a given period of time. It is given by the formula:
[tex]r = (1+\frac{i}{n})^n -1\\where:\\r = effective\ annual\ rate\\i = nominal\ interest\ rate\ = 8.00\% = 0.08 \\n = number\ of\ compounding\ periods\ per\ year\ = 2\ (semi-annually)[/tex]
[tex]r = (1+\frac{0.08}{2})^2 -1\\r = (1\ +\ 0.04)^2 - 1\\r = (1.04)^2 - 1\\r = 1.0816 - 1\\r = 0.0816\\r = 8.1600 \%[/tex]
is the present value of these cash flows? (Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).) Present value Investment X $ Investment Y $ (b) Which of these cash flow streams has the higher present value at 5 percent? (Click to select) Requirement 2: (a) If the discount rate is 23 percent, what is the present value of these cash flows? (Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).) Present value Investment X $ Investment Y $ (b) Which of these cash flow streams has the higher present value at 23 percent?
Answer and Explanation:
1A. For investment X, given 6% discount rate, 6700 PMT, N= 9 years
Present value of investment X= 6700* PVIF using 6%, 9 years
= $45751.34
For investment Y, given 6% discount rate, 9200 PMT, N= 5 years
Present value of investment Y =9200*PVIF using 6%, 9 years
=$38753.75
1B. Investment X from the above has higher present value
2A. For investment X, given 22% discount rate, 6700 PMT, N = 9 years
Present value of investment X
=6700*PVIF using 22% ,9 years
= $25368.11
For investment Y, given 22% discount rate, 9200 PMT, N = 5 years
Present value of investment X
=9200*PVIF using 22% ,N = 5 years
= $26345.49
2B. Investment Y from the above has higher present value.
ear Net Income Profitable Capital Expenditure 1 $ 14 million $ 8 million 2 18 million 11 million 3 9 million 6 million 4 20 million 8 million 5 23 million 9 million The Hastings Corporation has 2 million shares outstanding. (The following questions are separate from each other). a. If the marginal principle of retained earnings is applied, how much in total cash dividends will be paid over the five years? (Enter your answer in millions.)
Answer:
$42 Million
Explanation:
The computation of the total cash dividend is shown below:-
Year Net Income Profitable capital Expenditure Dividends
1 $14 Million $8 Million $6 Million
2 $18 Million $11 Million $7 Million
3 $9 Million $6 Million $3 Million
4 $20 Million $8 Million $12 Million
5 $23 Million $9 Million $14 Million
Total cash dividends $42 Million
The average price for regular gasoline at U.S. pumps fell almost 4 cents in March to $2.50 a gallon. The price of crude oil dropped to $43.46 per barrel on March 17, the lowest since March 2009.
Answer: C. lower the cost of producing gasoline and increase the supply of gasoline
Explanation:
Gasoline is derived from the distillation of crude oil which means that Crude oil is the main raw material in the production of gasoline. This means that if crude oil sees a reduction in price, input costs for gasoline will decrease as well.
Producers of gasoline will take advantage of this to buy more crude oil and therefore process and make more gasoline which will increase the supply of gasoline in the market and reduce its price.
Q 20.27: Liberty Bicycles currently sells unassembled bikes for $240 each. The variable production costs for each bike are $35 and the fixed production costs are $72. Liberty is thinking about selling the bikes fully assembled for $300 each. The variable costs for assembling one bike will be $18 and the fixed costs will be $31. Given these figures, Liberty will increase its net income per unit by ________ if it opts to assemble the bikes.
Answer:
$11
Explanation:
Find the incremental effect on net income of assembling the bikes as follows :
Incremental analysis for assembling the bikes per unit
Sales ( $300 - $240) $60
Less incremental costs :
Variable costs ($18)
Fixed production costs ($31)
Incremental Income/(loss) $11
Conclusion
Thus Liberty will increase its net income per unit by $11 if it opts to assemble the bikes.
Were you surprised to learn how much companies focus on the teen market? Explain.
Answer:
Yes, a large percentage of consumers are influenced by people who are present on the internet, who are mostly younger people. In order to generate income, advertisements for young people are becoming less and less advertising look like.
For this reason, advertising pieces should always aim to entertain and inform, only to later sell. The experience with advertising content should be positive.
The teen audience may have many different tastes, but there is a high probability that everyone will use a cell phone. The device is part of the daily lives of young people and it is through it that teenagers communicate, consume content, and even shop.
On April 1, 2020, the City of Southern Ponds issued $5,000,000 in 4% general obligation, tax supported bonds at 101 for the purpose of constructing a new police station. The premium was transferred to a debt service fund. A total of $4,990,000 was used to construct the police station, which was completed before December 31, 2020, the end of the fiscal year. The remaining funds were transferred to the debt service fund. The bonds were dated April 1, 2020, and paid interest on October 1 and April 1. The first of 20 equal annual principal payments of $250,000 is due April 1, 2021. In addition to reporting Bonds Payable and (unamortized) Bond Premium in the government-wide Statement of Net Position, how would the bond sale be reported
Answer:
$100,000
$350,000
Explanation:
The bond sale be reported as debt service expenditures for 2020 and 2021 can be calculated as follows
The Amount would be reported as debt service expenditures for 2020
= $5,000,000 x 4% x 1/2 year
= $100,000
The amount would be reported as debt service expenditures for 2021
= $5,000,000 x 4% + $250,000
= $350,000
Creswell Corporation's fixed monthly expenses are $30,000 and its contribution margin ratio is 63%. Assuming that the fixed monthly expenses do not change, what is the best estimate of the company's net operating income in a month when sales are $92,000?
a. $27,960.b. $62,000.c. $57,960.d. $4,040.
Answer:
Net income= $27,960
Explanation:
Giving the following information:
Fixed costs= $30,000
contribution margin ratio= 0.63
Sales= $92,000
First, we need to calculate the total contribution margin:
Total contribution margin= 92,000*0.63= 57,960
Now, the net income:
Net income= 57,960 - 30,000
Net income= $27,960
Yoshi Co.'s 12/31/2020 inventory on a FIFO basis was $980,000. The following information is available: Estimated selling price is $1,020,000; Estimated cost of disposal is $40,000; Normal profit margin is $120,000; and Current replacement cost is $900,000. At 12/31/2020, assuming Yoshi uses the loss method, what amount of loss should Yoshi record from applying LCM
Answer:
Yoshi Co.
The amount of loss that Yoshi Co. should record from applying LCM (the lower of Cost or Market price) is:
$40,000
Explanation:
a) Data and Calculations:
FIFO inventory on 12/31/2020 = $980,000
Current replacement cost = $900,000
Net realizable value = $980,000 ($1,020,000 - $40,000)
Normal profit margin = $120,000
Loss to be recognized based on current replacement cost = FIFO purchase cost minus Current replacement cost
= $80,000 ($980,000 - $900,000)
b) Under the US GAAP (generally accepted accounting principles) of prudence and conservatism, the loss of $80,000 must be recognized in the current period, since the inventory will be booked at $900,000, its current replacement cost, which is lower than the FIFO purchase cost of $980,000.
What benefits do customers receive in return for the sacrifice they make when buying a membership at Planet Fitness?
Answer:
Customers receive the following benefits in return for the price they pay when they buy membership at Planet Fitness:
a) Fitness training
b) Physical exercise
c) Relaxation and comfort
d) Clean and safe environment and conducive atmosphere
e) the friendly and courteous staff is a bonus
Explanation:
Planet Fitness operates fitness centers and clubs around the world under franchises. Planet Fitness has adequate and clean cardio machines, free weights of up to 80 lbs., curl bars, and other strength training equipment and accessories. The average gym user is offered abundant, 5-star, and world-class Cardio equipment and services.
[Same investments as the prior question] Suppose two local start-ups are raising funding by issuing shares of equity at $10,000 per share. One start-up is a whiskey distillery; the other is a beer brewery. You estimate the expected returns on your investment to be 50% over five years in both cases. You also believe that the likelihood of being paid out $20,000 per share is greater with the distillery than with the brewery. Suppose now that you hold a portfolio of many other risky assets, and that this would be your N 1 investment. Which investment do you prefer to make, the distillery or the brewery
Answer:
you should purchase the brewery's stock
Explanation:
First of all, as investors we should always try to maximize our returns while avoiding risks. It is really hard to balance both, but we must compare stocks to see which may represent a higher gain while posing the lesser or same risk.
Initial investment in each = $10,000 (equal for both)expected returns over 5 years = $5,000 (equal for both)but there is a higher possibility of the distillery's stock being more valuable, and that makes a difference.Both stocks seem equally risky, but they are not. When you calculate expected returns, you multiply the possible returns by their probability. I'm not sure how they calculated the expected returns of the above stocks, but the following can help you understand my point:
stock B return probability expected return
great 100% 25% 25%
normal 50% 50% 25%
bad 0% 25% 0%
total 100% 50%
stock D return probability expected return
great 100% 30% 30%
normal 50% 40% 20%
bad 0% 30% 0%
total 100% 50%
Both stocks have the same expected return, but stock B is less risky because the chance of being a bad investment is lower.
Cutting flights and declaring bankruptcy are long-run decisions. What impact would you predict these actions would have on the airlines remaining in business?
Answer:
Follows are the solution to this question:
Explanation:
The declaration of bankruptcy as well as flight cutting reduces the amount for flights and also the flight sin operation leading to both a supply reduction. While the business continued, its other airlines will have an increased engagement and thus higher prices and will be seeing recovery for both the airline industry over an amount of time.
Delphi Company uses job-order costing. It applies overhead to jobs using a predetermined overhead rate based on machine-hours. At the beginning of the year, Delphi estimated that it would work 37,000 machine-hours and incur $222,000 in manufacturing overhead cost. The following transactions were recorded for the year: a. Raw materials were issued for use in production, $367,000 ($345,000 direct and $22,000 indirect). b. Employee costs were incurred: direct labor, $309,000; indirect labor, $44,000; and administrative salaries, $155,000. c. Factory depreciation, $175,000. d. Selling costs, $140,000. e. Manufacture overhead was applied to jobs. The actual machine hours for the year were 35,000 hours. a. Compute the total manufacturing overhead cost applied to jobs during the year.
Answer:
Allocated MOH= $210,000
Explanation:
First, we need to calculate the predetermined overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 222,000/37,000
Predetermined manufacturing overhead rate= $6 per machine hour
Now, we cal allocate overhead:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 6*35,000
Allocated MOH= $210,000
Mr. C made the following gifts: $12,000 to a university to pay tuition costs for his niece. An undeveloped tract of land to his sister that had an adjusted basis to Mr. C of $4,000 and a fair market value of $25,000. Various shares of stock to his wife that had an adjusted basis to Mr. C of $15,000 and a fair market value of $40,000. Mr. C did not consent to gift-splitting. What is the total amount of taxable gifts
Answer:
$10,000
Explanation:
Gifts are only taxed when their fair market value is higher than $15,000. Any gifts made to your spouse are not taxable. Gift taxes are calculated on a per person base, as long as they do not exceed the lifetime exemption (which is $11.58 million).
The tuition costs of her niece are not taxable since they are less than $12,000. The stocks given to his wife are not taxable either. The only taxable gift is the land given to his sister which had a FMV of $25,000. The taxable amount = $25,000 - $15,000 = $10,000
Farris Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price $ 78 Units in beginning inventory 0 Units produced 8,800 Units sold 8,700 Units in ending inventory 100 Variable costs per unit: Direct materials $ 18 Direct labor $ 10 Variable manufacturing overhead $ 4 Variable selling and administrative expense $ 5 Fixed costs: Fixed manufacturing overhead $255,200 Fixed selling and administrative expense $ 87,000 What is the unit product cost for the month under absorption costing
Answer:
$61
Explanation:
The computation of unit product cost for the month under absorption costing is shown below:-
Unit product cost = Direct material + Direct labor + Variable Manufacturing overhead + Fixed manufacturing cost
= $18 + $10 + $4 + ($255,200 ÷ 8,800)
= $61
Therefore for computing the unit product cost for the month under absorption costing we simply applied the above formula.
4. Give two reasons why GDP is often not seen as the best measure of living standards.
Answer:
Different factors account to it.
Explanation:
Because many factors that contribute to people's happiness are not bought and sold, GDP is a limited tool for measuring standard of living. To understand it's limitations better, let's take a look at several factors that are not accounted for in GDP.
GDP does not account for leisure time. The US GDP per capita is larger than the GDP per capita of Germany, but does this prove that the standard of living in the United States is higher? Not necessarily since it is also true that the average US worker works several hundred hours more per year more than the average German worker. The calculation of GDP does not take German workers extra weeks of vacation into account.
GDP includes what is spent on environmental protection, healthcare, and education, but it does not include actual levels of environmental cleanliness, health, and learning. GDP includes the cost of buying pollution-control equipment, but it does not address whether the air and water are actually cleaner or dirtier. GDP includes spending on medical care, but it does not address whether life expectancy or infant mortality have risen or fallen. Similarly, GDP counts spending on education, but it does not address directly how much of the population can read, write, or do basic mathematics.
The expected return on the market portfolio is 12%, and the relevant risk-free rate is 4.2%. What is the equity premium?
Answer:
7.8%
Explanation:
The expected return on the market portfolio is 12 percent
The risk free rate is 4.2 percent
Therefore the equity premium can be calculated as follow
= expected return - risk free rate
= 12% - 4.2%
= 7.8%
Hence the equity premium is 7.8%
When the stock price follows a random walk the price today is said to be equal to the prior period price plus the expected return for the period with any remaining difference to the actual return due to:_________
a. A predictable amount based on the past prices.
b. A component based on new information unrelated to past prices.
c. The security's risk.
d. The risk free rate.
e. None of the above.
Answer:
e. None of the above.
Explanation:
When the stock price follows a random walk the price today is said to be equal to the prior period price plus the expected return for the period with any remaining difference to the actual return due due to new information related to the stock". This is because any new information on stock which is unrelated to stock prices will lead to an increase/decrease in the stock price over a period of time.
Doug and Sue Click file a joint tax return and decide to itemize their deductions. The Clicks' income for the year consists of $89,000 in salary, $1,500 interest income, and $700 long-term capital loss. The Clicks' expenses for the year consist of $1,450 investment interest expense. Assuming that the Clicks' marginal tax rate is 35 percent, what is the amount of their investment interest expense deduction for the year
Answer:
$1,450
Explanation:
Interest Income = $1,500
Investment Interest expenses = $1,450
Allowed deduction limit investment interest is subject to investment income. So $1,450 is allowed as deduction
You will invest $25,000 in an ice cream shop your sister is starting. You expect to triple your investment in six years. What is the rate of return that you have in mind? (Rounded to the nearest percent.)
Answer:
r = 20.09%
Explanation:
we can use the future value formula to calculate the expected rate of return:
future value = present value x (1 + r)ⁿ
future value = $25,000 x 3 = $75,000present value = $25,000n = 6$75,000 = $25,000 x (1 + r)⁶
(1 + r)⁶ = $75,000 / $25,000 = 3
⁶√(1 + r)⁶ = ⁶√3
1 + r = 1.2009
r = 0.2009 = 20.09%
Dr. Bob Jackson owns a parcel of land that a local farmer has offered to rent from Dr. Bob for the next 10 years. The farmer has offered to pay $20,000 today or an annuity of $3,200 at the end of each of the next 10 years. Which pay-ment method should Dr. Jackson accept if his required rate of return is 10 percent
Answer:
Dr. Jackson should accept the $20,000 paid today
Explanation:
you must analyse the present value of both payment options:
the present value of the $20,000 paid today is exactly $20,000the present value of the annuity = $3,200 x 6.1446 (PV annuity factor, 10%, 10 periods) = $19,662.72Since the present value of the immediate cash payment is higher than the annuity payment, Bob should choose that offer.
Forrester Company is considering buying new equipment that would increase monthly fixed costs from $425,000 to $445,500 and would decrease the current variable costs of $60 by $15 per unit. The selling price of $100 is not expected to change. Forrester's current break-even sales are $1,140,000 and current break-even units are 11,400. If Forrester purchases this new equipment, the revised break-even point in dollars would be:
Answer:
Break-even point (dollars)= $810,000
Explanation:
Giving the following information:
Fixed costs= $445,500
Unitary variable cost= $45
Selling price= $100
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)= 445,500 / [(100 - 45) / 100]
Break-even point (dollars)= $810,000
We sell to a customer paying with Visa and the fee is 2%. Part of the transaction would include a debit to:
Answer:
there are no available options, but the complete journal entry to record a credit card sale is:
Dr Cash account 98% of sale
Dr Credit card fees 2% of sale
Cr Sales revenue 100% of sale
Explanation:
Since VISA payments are automatic, you can debit cash directly. There is no need to debit accounts receivable and then once the payment is confirmed, debit cash. Some credit cards do not pay automatically, and in those cases you should debit accounts receivable.
Instead of credit card fees, some people use credit card discount, or credit card expense, but all these accounts are basically the same. They are all expense accounts.
Waterway Company sold 10,100 Super-Spreaders on December 31, 2020, at a total price of $1,050,400, with a warranty guarantee that the product was free of any defects. The cost of the spreaders sold is $535,300. The assurance warranties extend for a 2-year period and are estimated to cost $37,000. Waterway also sold extended warranties (service-type warranties) related to 1,800 spreaders for 2 years beyond the 2-year period for $10,800. Given this information, determine the amounts to report for the following at December 31, 2020: sales revenue, warranty expense, unearned warranty revenue, warranty liability, and cash. Amounts Reported in Income Sales revenue $ Warranty Expense Amounts Reported on the Balance Sheet Unearned Service Revenue $ Cash Warranty Liability
Answer:
Amounts Reported in Income
Particulars Amount
- Sales revenue $1,050,400
- Warranty expenses $37,000
Amounts Reported on the Balance Sheet
Particulars Amount
- Unearned service revenue $10,800
- Cash ($1,050,400 + $10,800) $1,061,200
- Warranty Liability $37,000
Kent Manufacturing produces a product that sells for $64.00 and has variable costs of $35.00 per unit. Fixed costs are $348,000. Kent can buy a new production machine that will increase fixed costs by $20,500 per year, but will decrease variable costs by $4.50 per unit.
Required:
Compute the contribution margin per unit if the machine is purchased.
Answer:
The contribution margin per unit is $33.50
Explanation:
The contribution margin per unit in the case when the machine is purchased is shown below:
= Selling price per unit - variable cost per unit
= $64 - ($35 - $4.50)
= $64 - $30.50
= $33.50
hence, the contribution margin per unit is $33.50 and the same is to be considered
We simply applied the above formula
On October 1, 2020, Jackson Chemical was identified as a potentially responsible party by the Environmental Protection Agency. Jackson's management along with its counsel have concluded that it is probable that Jackson will be responsible for damages, and a reasonable estimate of these damages is $5,000,000. Jackson's insurance policy of $9,000,000 has a deductible clause of $500,000. How should Jackson Chemical report this information in its financial statements at December 31, 2020
Answer:
Jackson Chemical should report the $5,000,000 loss because we don't know if the insurance will actually pay out the policy.
Explanation:
Jackson chemical has to report $500,000 loss associated with the deductible would be accrued as liability in the company's financial statements at Dec 31, 2020 since it is probably that Jackson will be responsible for the damages.
$500,000 is the amount of the insurance policy's deductible Jackson will have to pay to receive the policy's benefits, which will cover the reasonably estimated damages.
you can acquire an existing business for $2 million. You are uncertain about future demand. There is a 40% chance of high demand, in which case the present value of the business will be $3 million. There is a 25% chance of moderate demand, and the associated present value is $1.5 million. Finally, there is a 35% chance of low demand, in which case the present value is $1 million. Draw a decision tree for this problem. What is the expected net present value of the business
Answer:
Expected net present value of the project = $1,925,000
Explanation:
The cost of acquiring business = $2,000,000
Expected net present value of the project = High demand NPV*High demand percent + Moderate demand NPV*Moderate demand percent + Low demand NPV*Low demand percent
Expected net present value of the project = $3,000,000 *40% + $1,500,000*25% + $1,000,000*35%
Expected net present value of the project = $1,200,000 + $375,000 + $350,000
Expected net present value of the project = $1,925,000
Conclusion: The cost of acquiring business is more than expected net present value, it is advisable not to invest in the project.
Exercise 17-5 Assigning costs using ABC LO P3 Xie Company identified the following activities, costs, and activity drivers for this year. The company manufactures two types of go-karts: Deluxe and Basic. Activity Expected Costs Expected Activity Handling materials $ 625,000 100,000 parts Inspecting product 900,000 1,500 batches Processing purchase orders 105,000 700 orders Paying suppliers 175,000 500 invoices Insuring the factory 300,000 40,000 square feet Designing packaging 75,000 2 models Assume that the following information is available for the company’s two products for the first quarter of this year. Deluxe Model Basic Model Production volume 10,000 units 30,000 units Parts required 20,000 parts 30,000 parts Batches made 250 batches 100 batches Purchase orders 50 orders 20 orders Invoices 50 invoices 10 invoices Space occupied 10,000 sq. ft. 7,000 sq. ft Models 1 model 1 model Required: Compute activity rates for each activity and assign overhead costs to each product model using activity-based costing (ABC). What is the overhead cost per unit of each model? (Round activity rate and average OH cost per unit answers to 2 decimal places.)
Answer:
Instructions are below.
Explanation:
First, we need to calculate the activity rate for each activity:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Handling materials= 625,000/100,000= $6.25 per part
Inspecting product= 900,000/1,500= $600 per batch
Processing= 105,000/700= $150 per order
Paying suppliers= 175,000/500=$350 per invoice
Insuring the factory= 300,000/40,000= $7.5 per square feet
Designing packaging= 75,000/2= $37,500 per model
Now, we can allocate overhead to each model:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Deluxe:
Handling materials= 6.25*20,000= 125,000
Inspecting product= 600*250= 150,000
Processing= 150*50= 7,500
Paying suppliers= 350*50= 17,500
Insuring the factory= 7.5*10,000= 75,000
Designing packaging= 37,500*1= 37,500
Total allocated overhead= $412,500
Basic:
Handling materials= 6.25*30,000= 187,500
Inspecting product= 600*100= 160,000
Processing= 150*20= 3,000
Paying suppliers= 350*10= 3,500
Insuring the factory= 7.5*7,000= 52,500
Designing packaging= 37,500*1= 37,500
Total allocated overhead= $444,000
Finally, the unitary overhead:
Deluxe= 412,500/10,000= $41.25
Basic= 444,000/30,000= $14.8
Your grandpa doesn't trust "young 'uns" so you are set to inherit a $1,000,000 trust fund on your 50th birthday. Your Grandpa also doesn't like banks so he has buried the cash somewhere on his 40-acre farm in a location that will be revealed to you by his lawyer since Grandpa will not be around when you turn 50. If you could possibly get your hands on it now (when you are 20), you could put it in a bank at 6% annual interest. If you were able to dig up the money now, how much would you have when you turn 50?
Answer:
FV= $5,743,491.17
Explanation:
Giving the following information:
Present value (PV)= $1,000,000
Number of periods (n)= 30 years
Annual interest= 6% = 0.06
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,000,000*(1.06^30)
FV= $5,743,491.17