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My name is Ann [436]
3 years ago
15

The borrower in a $238,000 loan makes interest payments at the end of each six months for eight years. These are computed using

an annual effective discount rate of 6.5%. Each time he makes an interest payment, the borrower also makes a deposit into a sinking fund earning a nominal interest rate of 4.2% convertible monthly. The amount of each sinking fund deposit is D in the first three years and 2D in the remaining five years, and the sinking fund balance at the end of the eight years is equal to the loan amount. Find D.
Business
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

D = 7980.55

Explanation:

Since the borrower pays in 6 months wich is half a year, we calculate the semi-annual rate = \frac{Annual rate of intrest}{Number of months}

= \frac{0.042}{12}

= 0.0035 = 0.35%

The effective semi-annual rate is, [(0.0035)⁶- 1] = 0.02118461

\frac{D[(1.02118461)^{16}  - 1]}{1.02118461) - 1} + \frac{D[(1.02118461)^{10}  - 1]}{1.02118461) - 1} = 238000

\frac{D(1.398518 - 1)}{0.02118461} + \frac{D(1.233226 - 1)}{0.02118461} = 238000

0.631744D = 238000 * 0.02118461

0.631744D = 5041.937

Therefore D = 7980.55

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Explanation:

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3 years ago
On january? 1, 2017, dodge company purchases? $90,000, 7% bonds at a price of 86.4 and a maturity date of january? 1, 2027. dodg
andreev551 [17]

We should note that the bond investment account is recorded at cost by the Bondholder or Investor.

The cost or price is calculated as:

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4 0
4 years ago
During 2021, Farewell Inc. had 500,000 shares of common stock and 50,000 shares of 6% cumulative preferred stock outstanding. Th
grigory [225]

Answer:

a) c. $4.34

b) b. $4.10

Explanation:

a) Find Farewell's diluted earnings per share for 2021.

Use the formula below:

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= \frac{2,500,000 - (50,000*100*0.06)}{500,000+(200,000 - ((29*10,000)/30))}

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= 4.34

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b) stock options = 5,000

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Diluted shares = 5000 - 4167 = 833

Use the formula below to find the diluted earnings per share:

Diluted EPS = Net income/share outstanding

= \frac{269,915}{50,000 +(20,000-5,000) + 833)}

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3 years ago
The industry that is the most recent target of deregulation is the
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Electric deregulation is the way toward changing tenets and directions that control the electric industry to give clients the decision of power providers who are either retailers or dealers by permitting competition. Deregulation gives purchasers a choice with regards to their energy provider.

7 0
3 years ago
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Read 2 more answers
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