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emmasim [6.3K]
1 year ago
11

a bond with a face value of $1,000 has 12 years until maturity, has a coupon rate of 5.4%, and sells for $1,087. what is the yie

ld to maturity if interest is paid once a year? note: do not round intermediate calculations. enter your answer as a percent rounded to 4 decimal places. what is the yield to maturity if interest is paid semiannually? note: do not round intermediate calculations. enter your answer as a percent rounded to 4 decimal places.
Business
1 answer:
77julia77 [94]1 year ago
8 0

If interest is paid annually the YTM is 4.48% and if interest is paid semi annually YTM is 2.24%. YTM means Yield to maturity that is paid on bonds ,to determine YTM we first calculate interest on the bonds which is explained below. Formula for YTM is given in the attachment.

Interest is paid annually
Annual Interest = 1000*5.4% = 54

YTM = [54 +(1000 - 1087)/12] /(1000+1087)/2 = 46.75 /1043.5

YTM = 4.480%

Interest paid semi annually

Interest = 1000*5.4% = 54/2 = 27

YTM = [27 + (1000 -1087)/24] / (1000+1087)/2 = 23.375/1043.5

YTM = 2.240%

In the above equation, time period is 24(12*2) because time period is semi annual.

A fixed-rate investment, such as a bond, has a speculative rate of return or interest known as yield to maturity (YTM), also known as redemption or book yield. The YTM is predicated on the idea or understanding that an investor buys the security at the current market price and retains it until it matures (reaches its full value), as well as the assumption that all interest and coupon payments are made on schedule.

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Answer:

1.

Aug 1st,2021;  Entry to record note issuance is as followed:

Dr Note Receivable   $20,600,000

Cr Cash                      $20,600,000

(to record the issuance of note to Trico Technologies)

2.

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Dr Interest revenue receivable      $515,000

Cr Accrued Interest Income          $515,000

(to record accrued interest income of 5 months; calculated as 20,600,000 x 6% x 5/12 = $515,000)

3. January 31st, 2022; Entry to record repayment of the note at maturity:

Dr Cash                                              $21,218,000

Cr Interest Income                           $103,000

Cr Note Receivable                         $20,600,000

Cr Interest Income receivable        $515,000

( to record the repayment of the principal and interest income, in which 5 months of interest income had already been recorded in 2021, the other 1 month of interest income $103,000 (20.6 million x 6%/12) is recorded at the end of January which is also maturity time.

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2 years ago
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<h3>What is Part D plan?</h3>

Part D plan can be defined as a Medicare plan that help to cover drugs prescription of  those under the plan

Based on the scenario you should tell her that  Part D Initial Enrollment Period start  3 months prior and 3 months after the month when a beneficiary  of the plan meets the eligibility or necessary requirements for Part B plan.

Hence,  she cannot be able to use it as a form of  justification for enrolling in a Part D plan now.

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The initial principal amount and the interest made after a period when added together is regarded as compounding.

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