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puteri [66]
3 years ago
15

A 10-year, 9.00%, $3,000 bond that pays dividends quarterly can be purchased for $2,775. This means that $2,775 is spent on the

bond now. Every quarter, $67.50 is provided to the purchaser as to the dividend. After 10 years, $3,000 is given to the purchaser. If the bond is purchased and pays as scheduled, which of the following ranges of effective rate of return will the purchaser receive?
a. 10.2% - 11.2%
b. 9% - 9.5%
c. 11.21% - 13.21%
d. 9.5% - 9.95%
Business
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

The range of effective rate of return that the purchaser will receive would be between 10.2% - 11.2%. The right answer is a

Explanation:

According to the given data we have the following:

Quarterly dividend = $67.50

Buy price = $2,775

Maturity = 10 yrs = 10*4 = 40 quarters

Face value = $3000

Hence, PW = -2775 + 67.50 * (P/A,i%,40) + 3000*(P/F,i%,40) = 0

67.50 * (P/A,i%,40) + 3000*(P/F,i%,40) = 2775

Therefore, using trail and error method

When i = 2.5%, value of 67.50 * (P/A,i%,40) + 3000*(P/F,i%,40) = 2811.729

When i = 3%, value of 67.50 * (P/A,i%,40) + 3000*(P/F,i%,40) = 2479.917

And by using interpolation

i = 2.5% + (2811.729-2775) / (2811.729-2479.917) *(3-2.5)

i = 2.5% + 0.05534%

i = 2.555%

Nominal yeild = 2.555% * 4 = 10.22%

Effective yeild = (1+0.02555)^4 - 1 = 0.10618 = 10.62%

The range of effective rate of return that the purchaser will receive would be between 10.2% - 11.2%

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The right answer is a.

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Lanni Products is a start-up computer software development firm. It currently owns computer equipment worth $30,000 and has cash
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Answer:

a. Lanni takes out a bank loan. It receives $50,000 in cash and signs a note promising to pay back the loan over three years.

  • FINANCIAL ASSET CREATED: when the loan was received, a financial asset was created. Money is exchanged for a promissory note.

b. Lanni uses the cash from the bank plus $20,000 of its own funds to finance the development of new financial planning software.

  • REAL ASSET CREATED: when the software was developed, a real asset was created. Money was invested in developing the software.

c. Lanni sells the software product to Microsoft, which will market it to the public under the Microsoft name. Lanni accepts payment in the form of 2,500 shares of Microsoft stock.

  • FINANCIAL ASSET CREATED: when the software was traded, a financial asset was created. A real asset was traded in exchange for financial assets.

d. Lanni sells the shares of stock for $50 per share and uses part of the proceeds to pay off the bank loan.

  • FINANCIAL ASSET DESTROYED: when the loan is paid back, the financial asset (loan) ceases to exist. When the money is paid back to the bank, the loan and the promissory note cease to exist.

a-1. Prepare its balance sheet just after it gets the bank loan.

Lanni Products

Balance Sheet

After it got the bank loan

Assets:

Cash $70,000

Computer equipment $30,000

Total assets $100,000

Liabilities:

Notes payable $50,000

Total liabilities $50,000

Shareholders's equity :

Paid in capital $50,000

Total shareholders's equity $50,000

Total liabilities and shareholders' equity $100,000

a-2. What is the ratio of real assets to total assets?

ratio of real assets to total assets = computer equipment / total assets = $30,000 / $100,000 = 30%

b-1. Prepare the balance sheet after Lanni spends the $70,000 to develop its software product.

Lanni Products

Balance Sheet

After it developed the software product

Assets:

Software $70,000

Computer equipment $30,000

Total assets $100,000

Liabilities:

Notes payable $50,000

Total liabilities $50,000

Shareholders's equity :

Paid in capital $50,000

Total shareholders's equity $50,000

Total liabilities and shareholders' equity $100,000

b-2. What is the ratio of real assets to total assets?

ratio of real assets to total assets = (software + computer equipment) / total assets = $100,000 / $100,000 = 100%

c-1. Prepare the balance sheet after Lanni accepts the payment of shares from Microsoft.

Lanni Products

Balance Sheet

After it sold the software product to Microsoft

Assets:

Shares of Microsoft $125,000

Computer equipment $30,000

Total assets $155,000

Liabilities:

Notes payable $50,000

Total liabilities $50,000

Shareholders's equity

Paid in capital $50,000

Retained earnings $55,000

Total shareholders's equity $105,000

Total liabilities and shareholders' equity $155,000

c-2. What is the ratio of real assets to total assets?

ratio of real assets to total assets = computer equipment / total assets = $30,000 / $155,000 = 19.35%

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