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Yuliya22 [10]
2 years ago
9

A company issued 5%, 20-year bonds with a face amount of $100 million. The market yield for bonds of similar risk and maturity i

s 4%. Interest is paid semiannually. At what price did the bonds sell
Business
1 answer:
m_a_m_a [10]2 years ago
4 0

Answer:

The bond was sold at $1,136.78.

Explanation:

Annual coupon = Bond face value * Coupon rate = $1000 * 5% = $50

Annual coupon discount factor = ((1 - (1 / (1 + r))^n) / r) .......... (1)

Where;

r = semi-annul interest rate = 4% / 2 = 2%, or 0.02

n = number of period = 20 years * Number of semiannuals in a year = 20 * 2 = 40 semi-annuals

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

Annual coupon discount factor = ((1-(1/(1 + 0.02))^40)/0.02) = 27.3554792407382

Present value of coupon = (Annual coupon * Annual coupon discount factor) / 2 = ($50 * 27.3554792407382) / 2 = $683.886981018455

Present value of the face value of the bond = Face value / (1 + r)^n = $1,000 / (1 + 0.02)^40 = $452.890415185236

Therefore, we have:

Price of bond = Present value of coupon + Present value of the face value of the bond = $683.886981018455 + $452.890415185236 = $1,136.77739620369

Approximating to 2 decimal places, we have:

Price of bond = $1,136.78

Therefore, the bond was sold at $1,136.78.

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2. If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 y
MA_775_DIABLO [31]

The interest from an investment is calculated through the equation,

    I = P x i

Where I is the interest, P is the principal amount and i is the interest rate.

   P = I / i

Substituting the known values,

   P = ($9.99) / (0.018/100) = $55,500

The answer to this item is therefore approximately $55,500. 

7 0
3 years ago
Home loans typically involve "points," which are fees charged by the lender. Each point charged means that the borrower must pay
nirvana33 [79]

Answer:

Ans. The effective annual interest rate charged on the loan is 12.99% effective annually. (Please see the attached excel spread sheet)

Explanation:

Hi, attached is the amortization table that I made for this case. Notice that there is a yellow and green cell, the yellow one is the result of using the "IRR" function of MS Excel which provides an effective monthly rate, since the payments are made every month, then we have to transform that monthly effective rate into an effective annual rate, this is the formula to use.

EffectiveAnnual=(1+EffectiveMonthly)^{\frac{1}{12} } -1

That is:

EffectiveAnnual=(1+0.012267477)^{\frac{1}{12} } -1=0.12986448

Which we round to 12.99% effective annually.

Finally, notice that I didnt use the payments to find the effective rate, I used the cash flow, that was because you didn´t receive all the 100K (the fee, remember?), you received $98,000.

Best of luck.

Download xlsx
3 0
3 years ago
For a business that uses the allowance method of accounting for uncollectible receivables:
Yuri [45]

Answer:

The Journal entries to record the given transactions would be:

Account Title                                                  Debit         Credit

(1) Uncollectible Accounts Expense              18,600

    Allowance for Doubtful Accounts                               18,600

     ($600 + $18,000)

(2) Allowance for Doubtful Accounts              350

    Accounts Receivable—Fronk Co.                                350

(3)  Accounts Receivable—Fronk Co.             200

     Allowance for Doubtful Accounts                               200

     Cash                                                            200

     Accounts Receivable—Fronk Co.                                200

(4)  Cash                                                            400

     Allowance for Doubtful Accounts*            200

     Accounts Receivable—Dodger Co.                             600

($600 - $400)*

3 0
3 years ago
The following selected amounts are available for Waterway Company: Retained Earnings (beginning balance) $1,050 Net loss 150 Cas
never [62]

Answer:

Ending retained earnings balance is 700.

Explanation:

In order to find the ending retained earnings we will have to start from the beginning retained earnings. The beginning retained earnings are 1050. Because the company has a net loss of 150 we will subtract 150 from 1050. And we are left with 900. After this we will subtract the 100 cash dividends as these are also paid from the retained earnings that the company has so we are left with 800. Also the company pays a stock dividend worth 100 so we will also subtract that and are left with 700. So the ending retained earnings balance is 700.

3 0
3 years ago
Suppose that Par, Inc., management encounters the following situations:
Anna11 [10]

Answer:

[a]. 10560, [b]. 14160, [c]. 7668.

Explanation:

[a]. In order to be able to solve this particular question we have to consider what is known as LINEAR PROGRAMMING.

We have the assumption that the function to be equals to 10A + 9B. The first step that we need to take here is to find the constraint for the linear programming relaxation which is;

1/2A + 5/6B \leq 600.

1/10A + 1/4B \leq 135. Thus, A \geq0 and B

With the help of excel solver and graphs, that we have the profit at $18 we are going have the value of A =300 and B =420. Therefore, the optimal solution = [300,420].

Thus, we have the objective function value to be = 10,560. [that is 10 * 300 + 420 * 18}.

[b]. For option b, where the profit increases to $20, the optimal solution lies on A =708 and B =0. Hence, objective function value = 14,160[ that is 20 * 708 + 0].

[c]. Here, there is increase in the sewing operation capacity to 750 hours. Therefore, we will have the value of A = 540 and B = 252.

Thus, the objective function value = 7668.

8 0
3 years ago
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