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3 years ago

Both Bond Bill and Bond Ted have 5.8 percent coupons, make semiannual payments,

Business

1 answer:

viva [34]3 years ago

5 0

Answer:

Percentage change in Bill Price = (91.8486 - 100) / 100 = -0.0815 or -8.15%

Percentage change in Bill Price = (78.1448 - 100) / 100 = -0.2186 or -21.86%

Percentage change in Bill Price = (109.0298 - 100) / 100 = 0.0903 or 9.03%

Percentage change in Bill Price = (132.0946 - 100) / 100 = 0.3209 or 32.09%

Explanation:

To calculate the percentage change in the price of both the bonds, we assume that the par value of both the bonds is $100 each.

To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) both Bill and Ted = 100 * 0.058 * 6/12 = $2.9

Total periods (n) - Bill= 5 * 2 = 10

Total periods (n) - Ted= 25 * 2 = 50

As the bonds were previously price at par, the YTM or market interest rate would have been same as the coupon rate. Thus, the old market interest rate was 5.8%. Now as the interest rates have risen by 2% new interest rate will be = 5.8 + 2 = 7.8%

New r or YTM - both Bill and Ted = 7.8% * 6/12 = 3.9% or 0.039

The formula to calculate the price of the bonds today is attached.

Bond Price - Bill = 2.9 * [( 1 - (1+0.039)^-10) / 0.039] + 100 / (1+0.039)^10

Bond Price - Bill = $91.8486

Percentage change in Bill Price = (91.8486 - 100) / 100 = -0.0815 or -8.15%

Bond Price - Ted = 2.9 * [( 1 - (1+0.039)^-50) / 0.039] + 100 / (1+0.039)^50

Bond Price - Ted = $78.1448

Percentage change in Bill Price = (78.1448 - 100) / 100 = -0.2186 or -21.86%

As the bonds were previously price at par, the YTM or market interest rate would have been same as the coupon rate. Thus, the old market interest rate was 5.8%. Now as the interest rates have fallen by 2% new interest rate will be = 5.8 - 2 = 3.8%

New r or YTM - both Bill and Ted = 3.8% * 6/12 = 1.9% or 0.019

The formula to calculate the price of the bonds today is attached.

Bond Price - Bill = 2.9 * [( 1 - (1+0.019)^-10) / 0.019] + 100 / (1+0.019)^10

Bond Price - Bill = $109.0298

Percentage change in Bill Price = (109.0298 - 100) / 100 = 0.0903 or 9.03%

Bond Price - Ted = 2.9 * [( 1 - (1+0.019)^-50) / 0.019] + 100 / (1+0.019)^50

Bond Price - Ted = $132.0946

Percentage change in Bill Price = (132.0946 - 100) / 100 = 0.3209 or 32.09%

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Answer:

Duncan Company estimates bad debts at (a) 5% of accounts receivable

Dr Bad Debt Expense $ 3.000

Cr Allowance for Uncollectible Accounts $ 3.000

(b) 5% of accounts receivable but Allowance for Doubtful Accounts had a $1,500 debit balance.

Dr Bad Debt Expense $ 6.500

Cr Allowance for Uncollectible Accounts $ 6.500

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The entry it's less than the estimated value of 5% because the account "Allowance for Doubtful Accounts" had a balance of $2,000 on Credit.

Duncan Company estimates bad debts at (a) 5% of accounts receivable

Dr Bad Debt Expense $ 3,000

Cr Allowance for Uncollectible Accounts $ 3,000

The new balance on Allowance for Doubtful Accounts as Debit of $1,500 means that when the entry of the adjustment is recorded it's necessary to compensate that value to show a debit balance of $5,000., because the Allowance for Doubtful Accounts must reflect a credit balance.

(b) 5% of accounts receivable but Allowance for Doubtful Accounts had a $1,500 debit balance.

Dr Bad Debt Expense $ 6,500

Cr Allowance for Uncollectible Accounts $ 6,500

Accounts Uncollectible are those credit that the company give and there are not chances of been collected.

When the customers buy products on credits but then the company can't collect the debt, then it's necessary to write off the unpaid bill as uncollectible.

One way it's to write-off directly the bad debts at the moment decided that the credit are uncollectible, the total amount it's reported as bad debt expenses which affect negativly the income statement and the accounts receivable are reduced in the same amount, less assets.

The other way it's to determine a percentage of total amount of accounts receivables as uncollectible, exist many ways to analize the accounts receivable and figure the value of uncollectible.

When the company have the percentage of uncollectible accounts the journal entry required is Bad Expenses (debit) with Allowance for Uncollectible Accounts (credit)

At the moment of the write-off as the expenses were before recognized we only use the Allowance for Uncollectible Accounts (Debit) with Accounts Receivable (Credit), with this we are recognizing the uncollectible credit of the company.

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