Solution :
It is given : loan amount = $12,000
Time to repay = 12 months
Finance charge = $ 632
AT the interest rate, outflow = inflow
The present value of the loan amounts = loan amount
[tex]$1000+632+[1000 \times (PVAF (r ,11))]=12000$[/tex]
[tex]$1000 \times PVAF(r,11)=12000-1632$[/tex]
[tex]$PVAF(r,11)=\frac{10368}{1000}$[/tex]
[tex]$PVAF(r,11)=10.368$[/tex]
Now using the annuity table we get
PVAF(1%, 11)=10.9676
This is equal to 10.368 (approximately)
∴ [tex]$r=1$[/tex] % per month of compounded monthly
So the annual interest rate is :
[tex]$=[(1+0.01)^{12}]-1$[/tex]
[tex]$r=[(1.01)^{12}]-1$[/tex]
[tex]$r = 12.68$[/tex] %
= 12.70 %
Hence the correct option is (a).
[tex]\text{It is given : loan amount} = $12,000\\\text{Time to repay} = 12 months\text{Finance charge} = $ 632\\\text{At the interest rate, outflow = inflow}\\\text{The present value of the loan amounts = loan amount}[/tex]
[tex]1000 + 632 + [ (P.V (r.11))] = 12,000\\\\1000 \text { x } P.V (r,11) = 12,000 - 1,632\\\\P.V (r.11) = \frac{10,368}{1000}\\\\P.V (r,11) = 10.368[/tex]
[tex]\text{Now using the annuity table we get} \\P.V (0.01, 11) =10.9676\\\text{This is equal to 10.368 (approximately)}[/tex]
[tex]r = 0.01 \text{ per month}\\\text{ Annual Interest rate}:\\r= [(1+0.01}^{12}] - 1\\r= [(1.01}^{12}] - 1\\r= 12.68\\[/tex]
Therefore, the closest option among the following choices is an option (a), i.e., 12.7%
For more information about the annual interest rate, refer below
https://brainly.com/question/16544946
Hardigree Corporation uses a job-order costing system. Beginning balance in Work in Process $ 36,000 (1) Raw materials purchased on account $207,000 (2) Direct materials requisitioned for use in production $161,000 (3) Indirect materials requisitioned for use in production $ 42,000 (4) Direct labor wages incurred $ 87,000 (5) Indirect labor wages incurred $101,000 (6) Depreciation recorded on factory equipment $ 42,000 (7) Additional manufacturing overhead costs incurred $ 57,000 (8) Manufacturing overhead costs applied to jobs $219,000 (9) Cost of jobs completed and transferred from Work in Process to Finished Goods $403,000 The total amount of manufacturing overhead actually incurred was: Multiple Choice
Answer:
$242,000
Explanation:
Calculation of the total amount of manufacturing overhead actually incurred:
Particulars Amount
Indirect Materials $42,000
Indirect labor $101,000
Depreciation On factory equipment $42,000
Additional Manufacturing Overhead $57,000
Total Manufacturing Overhead incurred $242,000
Will Mark as Brainliest!!! +40 extra points Spending money on medical expenses is part of this expenditures approach for calculating the GDP.
a. consumer spending
b. gross exports
c. sum of all the country's businesses spending on capital
d. sum of government spending
e. gross imports
Answer A
Explanation:
Merchandise inventory includes:__________
a. costs to purchase
b. costs to sell
c. shipping costs
d. costs to prepare for sale
e. cost of goods sold
Answer:
a. costs to purchase
c. shipping costs
d. costs to prepare for sale
Explanation:
Merchandise inventory is a commodity offered for sale. It is the cost of goods that is readily available at hand which is ready for sale From the options; the Merchandise inventory includes: costs to purchase, shipping costs and costs to prepare for sale.
The remaining options are addressed in the income statement.
Mechem Corporation produces and sells a single product. In April, the company sold 1,900 units. Its total sales were $152,000, its total variable expenses were $79,800, and its total fixed expenses were $56,700.
Required:
a. Construct the company's contribution format income statement for April. (Do not round intermediate calculations.)
b. Redo the company's contribution format income statement assuming that the company sells 1,800 units.
Answer:
1. $15,500
2. $11,700
Explanation:
Given the following information,
the company sold 1,900 units
Total sales were $152,000
Total variable expenses were $79,800
Total fixed expenses were $56,700
The structure for Contribution income margin format is seen below;
Income statement:
Sales
- Total Variable cost
= Contribution margin
- Fixed costs
= Net Operating income
1. Income statement
Sales = $152,000
Less Total variable cost = ($79,800)
Contribution margin = $72,200
Less Total Fixed costs = ($56,700)
Net operating income = $15,500
2. Here, we need to calculate the unitary selling price and the unitary variable cost
Selling price = $152,000 ÷ 1,900 units = $80
Unitary Variable cost = $79,800 ÷ 1,900 units = $42
Therefore,
Sales = 1,800 units × $80
$144,000
Less total variable cost = 1,800 units × $42
$75,600
Contribution margin
$68,400
Less total fixed costs
$56,700
Net operating income
$11,700
Miller Corporation has a premium bond making semiannual payments. The bond has a coupon rate of 8 percent, a YTM of 6 percent, and 18 years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond has a coupon rate of 6 percent, a YTM of 8 percent, and also has 18 years to maturity. Both bonds have a par value of $1,000.
Required:
a. What is the price of each bond today?
b. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 9 years? In 13 years? In 17 years? In 18 years?
Answer:
The function/formula for PV is PV(Rate,Nper,PMT,FV) where Rate = YTM, Nper = Period, PMT = Coupon Payment and FV = Face Value of Bonds.
a. Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 18*2 = 36, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,36,40,1000)
Bond Price = $1,218.32
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 18*2 = 36, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,36,30,1000)
Bond Price = $810.92
b. 1 Year from Now
Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 18*2 = 34, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,34,40,1000)
Bond Price = $1,211.32
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 17*2 = 34, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,34,30,1000)
Bond Price = $815.89
9 Years from Now
Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 9*2 = 18, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,18,40,1000)
Bond Price = $1,137.54
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 9*2 = 18, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,18,30,1000)
Bond Price = $873.41
13 Years from Now
Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 5*2 = 10, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,10,40,1000)
Bond Price = $1,085.30
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 5*2 = 10, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,10,30,1000)
Bond Price = $918.89
17 Years from Now
Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 1*2 = 2, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,2,40,1000)
Bond Price = $1,019.13
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 1*2 = 2, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,2,30,1000)
Bond Price = $981.14
18 Years
Miller Bond
Here, Rate = 6%/2 = 3%, Nper = 1*2 = 2, PMT = 1,000*8%*1/2 = $40 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(3%,0,40,1000)
Bond Price = $1,000
Modigliani Bond
Here, Rate = 8%/2 = 4%, Nper = 0, PMT = 1,000*6%*1/2 = 30 and FV = $1,000 [we use 2 since the bond is semi-annual]
Bond Price = PV(4%,0,30,1000)
Bond Price = $1,000