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Sergio039 [100]
3 years ago
15

Microhard has issued a bond with the following characteristics: Par: $1,000 Time to maturity: 21 years Coupon rate: 9 percent Se

miannual payments Calculate the price of this bond if the YTM is (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):
Business
1 answer:
kifflom [539]3 years ago
4 0

Microhard has issued a bond with the following characteristics: Par: $1,000 Time to maturity: 21 years Coupon rate: 9 percent Semiannual payments Calculate the price of this bond if the YTM is  6% (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):

Answer:

Price of bond = $982.63

Explanation:

<em>The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV). </em>

Value of Bond = PV of interest + PV of RV

The value of bond for Microhard can be worked out as follows:

Step 1  

PV of interest payments

Semi annul interest payment  

= 9% × 1000 × 1/2 = 45

Semi-annual yield = 6%/2 = 3 % per six months

Total period to maturity (in months)

= (2 × 21) = 42 periods

PV of interest =  

45 × (1- (1+0.03)^(-21)/0.03)= 693.6

Step 2  

PV of Redemption Value

= 1000 × (1.03)^(-21×2) =288.95

Price of bond

= 693.6 + 288.95 =982.63

Price of bond = $982.63

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Before correction      32%       33%        31%        32%

After correction         32%       32%        32%        32%

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Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Partial income statements for Sherwood Company summarized for a four-year period show the following:

                          2015             2016                  2017                  2018

Net Sales     $2,200,000   $2,600,000    $2,700,000      $3,200,000

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An audit revealed that in determining these amounts, the ending inventory for 2016 was overstated by $22.000. The inventory balance on December 31, 2017, was accurately stated. The company uses a periodic inventory system.

Required: 1. Restate the partial income statements to reflect the correct amounts, after fixing the inventory error, 2-a. Compute the gross profit percentage for each year (a) before the correction and (b) after the correction 2-b. Does the pattern of gross profit percentages lend confidence to your corrected amounts?

The explanation of the answer is now given as follows:

1. Restate the partial income statements to reflect the correct amounts, after fixing the inventory error

Note: See the attached excel file for the fixing the inventory error and the restated partial income statements to reflect the correct amounts, after fixing the inventory error.

The effect of the overstatement of closing inventory is reducing the 2016 cost of goods sold. To correct this in the attached excel file, the opening balance is reduced by $22,000 and this makes cost of goods sold of 2016 to increase and the cost of goods sold of 2017 to decrease by $22,000.

2-a. Compute the gross profit percentage for each year (a) before the correction and (b) after the correction

Note: See the attached excel file for the computed the gross profit percentage for each year (a) before the correction and (b) after the correction.

In the attached excel file, the following formula is used:

Gross Profit percentage = Gross profit / Net Sales) * 100

2-b. Does the pattern of gross profit percentages lend confidence to your corrected amounts?

Yes. This is because the gross profit percentage for the years are approximately the same at 32% after the correction was made.

Download xlsx
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