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Kipish [7]
3 years ago
7

a new hockey arena at a cost of $2,500,000. It received a downpayment of $500,000 from local businesses to support the project a

nd now needs to borrow $2,000,000 to complete the project. It therefore decides to issue $2,000,000 of 11%, callable, 10-year bonds. These bonds were issued on January 2018 and pay interest on January 1 and July 1. The bonds yield 10%. Instructions: a. Prepare the journal entry to record the issuance of the bonds on January 1, 2018 b. Prepare a bond amortixation schedule up to and including January 1, 2022 c. Prepare the journal entries to record the interest payments on January 1, 2020 and January 1, 2021. d. Prepare the journal entry to record the bond called on January 2021 at 106
Business
1 answer:
mylen [45]3 years ago
5 0

Answer:

a. Prepare the journal entry to record the issuance of the bonds on January 1, 2018

we must first determine the market price of the bonds:

PV of face value = $2,000,000 / (1 + 5%)²⁰ = $753,778.97 ≈ $753,779

PV of coupon payments = $110,000 x 12.462 (PV annuity factor, 5%, 20 periods) = $1,370,820

market value of the bonds = $753,779 + $1,370,820 = $2,124,599

January 1, 2018, bonds are issued at a premium

Dr Cash 2,124,599

    Cr Bonds payable 2,000,000

    Cr Premium on bonds payable 124,599

b. Prepare a bond amortization schedule up to and including January 1, 2022

since we are not told which amortization method to use, I will use the straight line method.

Date           Interest        Cash              Premium          Carrying

                  expense      paid               amortization     value

7/2018        $103,770     $110,000       $6,230             $2,118,369

1/2019         $103,770     $110,000       $6,230             $2,112,139

7/2019        $103,770     $110,000       $6,230             $2,105,909  

1/2020        $103,770     $110,000       $6,230             $2,099,679    

7/2020       $103,770     $110,000       $6,230             $2,093,449

1/2021         $103,770     $110,000       $6,230             $2,087,219  

7/2021        $103,770     $110,000       $6,230             $2,080,989                              

1/2022        $103,770     $110,000       $6,230             $2,074,759                                

c. Prepare the journal entries to record the interest payments on January 1, 2020 and January 1, 2021.

bond premium amortization per coupon = 124,599 / 20 = $6,229.95 ≈ $6,230

January 1, 2020, coupon payment

Dr Interest expense 103,770

Dr Premium on bonds payable 6,230

    Cr Cash 110,000

January 1, 2021, coupon payment

Dr Interest expense 103,770

Dr Premium on bonds payable 6,230

    Cr Cash 110,000

d. Prepare the journal entry to record the bond called on January 2021 at 106

Dr Bonds payable 2,000,000

Dr Premium on bonds payable 87,219

Dr Loss on retirement of debt 32,781

    Cr Cash 2,120,000

You might be interested in
Many adults owe money from their college loans for years into their professional careers. a newspaper would like to estimate the
Sergio039 [100]

Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.

<h3><u>What is bias in sampling?</u></h3>

When a sample is chosen in statistics, sampling bias is a bias that causes some individuals of the target population to have a lower or greater sampling probability than others. As a result, not every person or event was equally likely to have been chosen, resulting in a biased sample of a population (or non-human variables).

If this is not taken into consideration, results may be incorrectly attributed to the sampling procedure rather than the phenomenon being studied. Although some people identify sampling bias as a distinct sort of prejudice, sampling bias is typically categorized as a subtype of selection bias, sometimes referred to as sample selection bias.

Learn more about sampling bias with the help of the given link:

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7 0
1 year ago
1. On June 30, 2018, the Johnstone Company purchased equipment from Genovese Corp. Johnstone agreed to pay Genovese $21,000 on t
Mumz [18]

Answer:

$58,002.60

Explanation:

First, it is clear to include the $21,000 as part of the value of the equipment.

Now, the $9,000 annual payment after every year for six years need to be presented in its present value, meaning what is the value of those future amounts of $9,000 on June 30, 2018.

To calculate the present value of annuity (annuity means constant and equal payments) for those 6 payments of $9,000, we would need the Present Value Factor which is supplied from the Present Value Table.

Looking at 12% for 6 periods ("six annual installments") on the table, it gives the PV factor of 4.1114.

Just multiply $9,000 by 4.1114 and we get 37,002.60

Finally add the downpayment of $21,000 with the present value $37,002.60 and we would get the total value of the equipment of 58,002.60

5 0
3 years ago
Suppose that output (Y ) in an economy is given by the following aggregate production function: Yt = Kt + Nt where Kt is capital
shusha [124]

Answer:

Check the explanation

Explanation:

Yt = Kt + Nt

Taking output per worker, we divide by Nt

Yt/Nt = Kt/Nt + 1

yt = kt + 1

where yt is output per worker and kt is capital per worker.

a) With population being constant, savings rate s and depreciation rate δ.

ΔKt = It - δKt

dividing by Nt, we get

ΔKt/Nt = It/Nt - δKt/Nt ..... [1]

for kt = Kt/Nt, taking derivative

d(kt)/dt = d(Kt/Nt)/dt ... since Nt is a constant, we have

d(kt)/dt = d(Kt/Nt)/dt = (dKt/dt)/Nt = ΔKt/Nt = It/Nt - δKt/Nt = it - δkt

thus, Capital accumulation Δkt = i – δkt

In steady state, Δkt = 0

That is I – δkt = 0

S = I means that I = s.yt

Thus, s.yt – δkt = 0

Then kt* = s/δ(yt) = s(kt+1)/(δ )

kt*= skt/(δ) + s/(δ)

kt* - skt*/(δ) = s/(δ)

kt*(1- s/(δ) = s/(δ)

kt*((δ - s)/(δ) = s/(δ)

kt*(δ-s)) = s

kt* = s/(δ -s)

capital per worker is given by kt*

b) with population growth rate of n,

d(kt)/dt = d(Kt/Nt)/dt =

= \frac{\frac{dKt}{dt}Nt - \frac{dNt}{dt}Kt}{N^{2}t}

= \frac{dKt/dt}{Nt} - \frac{dNt/dt}{Nt}.\frac{Kt}{Nt}

= ΔKt/Nt - n.kt

because (dNt/dt)/Nt = growth rate of population = n and Kt/Nt = kt (capital per worker)

so, d(kt)/dt = ΔKt/Nt - n.kt

Δkt = ΔKt/Nt - n.kt = It/Nt - δKt/Nt - n.kt ......(from [1])

Δkt = it - δkt - n.kt

at steady state Δkt = it - δkt - n.kt = 0

s.yt - (δ + n)kt = 0........... since it = s.yt

kt* = s.yt/(δ + n) =s(kt+1)/(δ + n)

kt*= skt/(δ + n) + s/(δ + n)

kt* - skt*/(δ + n) = s/(δ + n)

kt*(1- s/(δ + n)) = s/(δ + n)

kt*((δ + n - s)/(δ + n)) = s/(δ + n)

kt*(δ + n -s)) = s

kt* = s/(δ + n -s)

.... is the steady state level of capital per worker with population growth rate of n.

3. a) capital per worker. in steady state Δkt = 0 therefore, growth rate of kt is zero

b) output per worker, yt = kt + 1

g(yt) = g(kt) = 0

since capital per worker is not growing, output per worker also does not grow.

c)capital.

kt* = s/(δ + n -s)

Kt*/Nt = s/(δ + n -s)

Kt* = sNt/(δ + n -s)

taking derivative with respect to t.

d(Kt*)/dt = s/(δ + n -s). dNt/dt

(dNt/dt)/N =n (population growth rate)

so dNt/dt = n.Nt

d(Kt*)/dt = s/(δ + n -s).n.Nt

dividing by Kt*

(d(Kt*)/dt)/Kt* = s/(δ + n -s).n.Nt/Kt* = sn/(δ + n -s). (Nt/Kt)

\frac{sn}{\delta +n-s}.\frac{Nt}{Kt}

using K/N = k

\frac{s}{\delta +n-s}.\frac{n}{kt}

plugging the value of kt*

\frac{sn}{\delta +n-s}.\frac{(\delta + n -s)}{s}

n

thus, Capital K grows at rate n

d) Yt = Kt + Nt

dYt/dt = dKt/dt + dNt/dt = s/(δ + n -s).n.Nt + n.Nt

using d(Kt*)/dt = s/(δ + n -s).n.Nt from previous part and that (dNt/dt)/N =n

dYt/dt = n.Nt(s/(δ + n -s) + 1) = n.Nt(s+ δ + n -s)/(δ + n -s) = n.Nt((δ + n)/(δ + n -s)

dYt/dt = n.Nt((δ + n)/(δ + n -s)

dividing by Yt

g(Yt) = n.(δ + n)/(δ + n -s).Nt/Yt

since Yt/Nt = yt

g(Yt) = n.(δ + n)/(δ + n -s) (1/yt)

at kt* = s/(δ + n -s), yt* = kt* + 1

so yt* = s/(δ + n -s) + 1 = (s + δ + n -s)/(δ + n -s) = (δ + n)/(δ + n -s)

thus, g(Yt) = n.(δ + n)/(δ + n -s) (1/yt) =  n.(δ + n)/(δ + n -s) ((δ + n -s)/(δ + n)) = n

therefore, in steady state Yt grows at rate n.

5 0
3 years ago
Raw Materials Inventory, beginning to balance $36,000
lesya692 [45]

Answer:

1. Journal Entry                        Debit        Credit

  Raw materials inventory      $73,400

   ($72,000 + $1,400)

          Accounts payable                          $73,400

   (Being raw materials purchase on credit)

2. Journal Entry                        Debit        Credit

  Work in process                      $64,300

   ($64,000 + $300)

        Raw materials inventory                    $64,300

                   <u>Raw Material Inventory Account</u>

Beginning balance    $36,000  |  Work in process $64,300

Purchase                    $73,400  |                              <u>            </u>

                                                   | Ending balance    <u>$45,100</u>

                                                   |  ($36,000 + $73,400 - $64,300)

3 0
2 years ago
Sarasota Company has a balance of $2,200 in Allowance for Doubtful Accounts before adjustment. The estimated uncollectibles unde
andrew-mc [135]

Answer:

Debit : Allowance for doubtful debts = $2900

Credit : Accounts receivables = $2900

Explanation:

An account for allowance for doubtful debts is a contra account created, predicting that certain debtors will not be able to pay for the goods and services they purchased. This may be based on historical experiences. Doubtful debts aren’t officially uncollectible, it is simply an estimation made, but bad debts are, where you have officially written off a certain accounts receivable as uncollectible.

An allowance for doubtful debts is recorded in the balance sheet, directly under accounts receivables. Bad debts are recorded as an expense in the income statement. When there is an allowance for doubtful debts, the bad debts account is debited and the allowance for doubtful debts account is credited.

According to the question, the balance was $2,200 (Cr) in the allowance for doubtful debts account. The initial expected amount for allowance for doubtful debts was $5100 (Cr). This means that the difference was the amount that was declared as uncollectible and officially written off i.e. bad debts. Thus $2900 ($5100 -$2200) would have been confirmed as bad debts.

The entry to record the above transaction is:

Debit : Allowance for doubtful debts = $2900

Credit : Accounts receivables = $2900

5 0
3 years ago
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