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Natali5045456 [20]
3 years ago
15

At the beginning of her current tax year, Angela purchased a zero-coupon corporate bond at original issue for $30,000 with a yie

ld to maturity of 6 percent. Given that she will not actually receive any interest payments until the bond matures in 10 years, how much interest income will she report this year assuming semiannual compounding of interest?
Business
2 answers:
lisabon 2012 [21]3 years ago
4 0

Answer:

She will report an interest income of $1,827 for this year.

Explanation:

The yield to maturity is 6%. However, the interest on the bond is compounded semi-annually. Therefore, we need to calculate the interest income for either semi-annual period and then sum the two incomes.  

Interest income for first semi-annual period

= $30,000 x 0.06 x 6/12

= $900

Interest income for second semi-annual period

= ($30,000 + $900) x 0.06 x 6/12

= $30,900 x 0.06 x 6/12

= $927

Interest income for the year

= $900 + $927

= $ 1,827

Shtirlitz [24]3 years ago
3 0

Answer:

The interest that would be reported this year is $1827

Explanation:

The interest on loan for the first six months is calculated thus:

$30000*6%*6months/12months=$900

Thereafter, the next six month interest would be based on the initial investment and the interest earned in the first six months since the interest is compounded interest.In other words, interest is paid on initial investment and also on the interest earned by the initial investment

($30000+$900)*6%*6months/12months=$927

The total interest earned the investment in the first year is $900+$927=$1827

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Answer:

The amount to be paid for the contract today = $220,908.32

Explanation:

<em>The amount to be paid for the contract today will be equal to the present value of the annuity of $22,500 payable for 20 years discounted at a rate of 8% per annum.</em>

Present Value = A ×( 1 - (1+r)^(-n))/r

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PV = 22,500 ×9.8181

PV = $220,908.32

The amount to be paid for the contract today = $220,908.32

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Explanation:

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Danner Company expects to have a cash balance of $53,100 on January 1, 2020. Relevant monthly budget data for the first 2 months
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Answer:

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