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Orlov [11]
2 years ago
11

It is now January 1, 2018, and you are considering the purchase of an outstanding bond that was issued on January 1, 2016. It ha

s a 9% annual coupon and had a 20-year original maturity. (It matures on December 31, 2035.) There is 5 years of call protection (until December 31, 2020), after which time it can be called at 109-that is, at 109% of par, or $1,090. Interest rates have declined since it was issued, and it is now selling at 114.12% of par, or $1,141.20. What is the yield to maturity
Business
1 answer:
kipiarov [429]2 years ago
7 0

Answer:

YTM is 7.54%.

Explanation:

The yield to maturity can be calculated using the following RATE function in Excel:

YTM = RATE(nper,pmt,-pv,fv) .............(1)

Where;

YTM = yield to maturity = ?

nper = number of periods = number of years to maturity = original maturity number of years - number of years between January 1, 2016 and January 1, 2018 = 20 - 2 = 18

pmt = annual coupon payment = face value * annual coupon rate = 1000 * 9% = 90 (Note: This is an inflow to the bondholder and it is therefore a positive figure).

pv = present value = current bond price = -1141.20 (Note: This is an outflow to the buyer of the bond and it is therefore a negative figure).

fv = face value of the bond = 1000 (Note: This is an inflow to the bondholder and it is therefore a positive figure).

Substituting the values into equation (1), we have:

YTM = RATE(18,90,-1141.20,1000) ............ (2)

Inputting =RATE(18,90,-1141.20,1000) into excel (Note: as done in the attached excel file), the YTM is obtained as 7.54%.

Therefore,  YTM is 7.54%.

Download xlsx
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6 0
3 years ago
Interest on a Note Payable is most appropriately accrued:_____________
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Carl’s business insurance costs $3,000 per year. Carl paid for and purchased a 12-month insurance policy on October 1, Year 1. O
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Answer:

Carl's Insurance Expense Deduction for Year 2

Since he took advantage of the 12-month prepayments rule, his Year 2 Insurance deduction was deducted in Year 1.

While his deduction should have been equal to

= Annual Insurance Expense/12 x 9 = $3,300/12 x 9 = $2,475

In Year 2, it is equal to $0 since he did not make any payment for Insurance.

Explanation:

Under the cash method of accounting, two rules govern how someone can deduct prepaid expenses:

1. The General Rule

2. The 12-Month Rule

1. The General Rule

Under the general rule, you cannot deduct the full amount of an advance payment covering more than 12 months. You must deduct a portion of the payment in the year to which it applies.

Example: The General Rule.

Carl is a cash method taxpayer on a calendar year.

On October 1, 2018 Carl pays $3,600 in advance for business insurance covering three years.

Coverage begins October 1, 2018.

Coverage ends September 30, 2021.

Result:

The general rule applies.

The advance payment covers more than 12 months (36 months).

A portion of the $3,600 must be deducted ratably over the three-year period.

To find the portion of the $3,600 Carl deduct each tax year:

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Then, multiply the number of months remaining in each tax year by the monthly premium

Monthly premium: $3,600 / 36 = $100 per month.

Oct. 1, 2018 - Dec. 31, 2018: 3 x $100 = $300 deduction for 2018

Jan. 1, 2019 - Dec. 31, 2019: 12 x $100 = $1,200 deduction for 2019

Jan .1, 2020 - Dec. 31, 2020: 12 x $100 = $1,200 deduction for 2020

Jan. 1, 2021 - Sep. 30, 2021: 9 x $100 = $900 deduction for 2021

The 12-Month Rule

The 12-month rule says that Carl may deduct the full amount of an advance payment in the year the payment is made if it creates rights or benefits for the taxpayer that do not extend beyond the earlier of:

12 months after the right or benefit begins, or

The end of the tax year after the tax year in which payment is made.

Example 1: The 12-Month Rule.

Carl is a cash basis taxpayer on a calendar year.

On October 1, 2018 he pays $2,000 for business insurance covering one year.

The policy begins October 1, 2018 and ends September 30, 2019.

Result:

The 12-month rule applies.

Deduct the full $2,000 in 2018

The benefit does not extend beyond 12 months after the right to receive the benefit begins - October 1, 2018.

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Answer:

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