5‐year bond is issued with a 5% coupon. After 1 year and 40 days from its issue, the owner decides to sell it. Calculate the price at which the buyer sells the bond (clean price) and the actual price received by the seller. Consider an interest rate of 3%.
Clean price: Answer % (rounded to the second decimal)
Price paid by the buyer: Answer % (rounded to the second decimal)
Use 1 year=365 days for calculations
In: Finance
1. A 20 year annuity has annual payments which increase by $500 each year. The first payment is $10,500 on Jan. 1, 2018. The annual effective interest is 1%. What is the value of the annuity on Oct. 1, 2017?
The answer should be $274,250.53 And I don't have more information about this...this is how the problem looks like.
2. A loan is repaid with level installments payable at the end of each half-year for 3(1/2) years, at a nominal rate of interest of 8% convertible semiannually. After the 4th payment, the outstanding loan balance is $5000. Find the amount of the loan.
3. Perpetuities in arithmetic progression. If a perpetuity has first payment P and each payment increases by Q, then its present value, one period before the first payment, is P/i + Q/i^2 Using this formula, find the present value of a perpetuity-immediate which has annual payments with first payment $360 and each subsequent payment increasing by $40, at annual interest rate 1.3%.
4. Filip buys a perpetuity-immediate with varying annual payments. During the first 5 years, the payment is constant and equal to 10. Beginning in year 6, the payments start to increase. For year 6 and all future years, the current year’s payment is K% larger than the previous year’s payment. At an annual effective interest rate of 9.2%, the perpetuity has a present value of 167.50. Calculate K, given that K < 9.2.
In: Finance
Hugo’s daughter, Wanda, completed her senior year of college in the current year. Hugo paid $5,0000 in qualified education expenses for Wanda in the current year. Hugo is a MFJ taxpayer and has an AGI of $60,000 for the current year. What, if any, education credit will provide Hugo the highest credit and how much is that credit?
In: Accounting
Forten Company's current year income statement, comparative
balance sheets, and additional information follow. For the year,
(1) all sales are credit sales, (2) all credits to Accounts
Receivable reflect cash receipts from customers, (3) all purchases
of inventory are on credit, (4) all debits to Accounts Payable
reflect cash payments for inventory, and (5) Other Expenses are
paid in advance and are initially debited to Prepaid
Expenses.
| FORTEN COMPANY Comparative Balance Sheets December 31 |
|||||||||||
| Current Year | Prior Year | ||||||||||
| Assets | |||||||||||
| Cash | $ | 58,900 | $ | 79,500 | |||||||
| Accounts receivable | 74,830 | 56,625 | |||||||||
| Inventory | 284,656 | 257,800 | |||||||||
| Prepaid expenses | 1,270 | 2,015 | |||||||||
| Total current assets | 419,656 | 395,940 | |||||||||
| Equipment | 151,500 | 114,000 | |||||||||
| Accum. depreciation—Equipment | (39,625 | ) | (49,000 | ) | |||||||
| Total assets | $ | 531,531 | $ | 460,940 | |||||||
| Liabilities and Equity | |||||||||||
| Accounts payable | $ | 59,141 | $ | 123,675 | |||||||
| Short-term notes payable | 11,800 | 7,200 | |||||||||
| Total current liabilities | 70,941 | 130,875 | |||||||||
| Long-term notes payable | 62,000 | 54,750 | |||||||||
| Total liabilities | 132,941 | 185,625 | |||||||||
| Equity | |||||||||||
| Common stock, $5 par value | 171,750 | 156,250 | |||||||||
| Paid-in capital in excess of par, common stock | 46,500 | 0 | |||||||||
| Retained earnings | 180,340 | 119,065 | |||||||||
| Total liabilities and equity | $ | 531,531 | $ | 460,940 | |||||||
| FORTEN COMPANY Income Statement For Current Year Ended December 31 |
|||||||
| Sales | $ | 612,500 | |||||
| Cost of goods sold | 291,000 | ||||||
| Gross profit | 321,500 | ||||||
| Operating expenses | |||||||
| Depreciation expense | $ | 26,750 | |||||
| Other expenses | 138,400 | 165,150 | |||||
| Other gains (losses) | |||||||
| Loss on sale of equipment | (11,125 | ) | |||||
| Income before taxes | 145,225 | ||||||
| Income taxes expense | 32,650 | ||||||
| Net income | $ | 112,575 | |||||
Additional Information on Current Year Transactions
|
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In: Accounting
|
An investment pays $15,000 every other year forever with the first payment one year from today. |
| a. | What is the value today if the discount rate is 8 percent compounded daily? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| b. |
What is the value today if the first payment occurs four years from today? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
In: Finance
On July 1, Year 1, Danzer Industries Inc. issued $40,000,000 of 10-year, 7% bonds at a market (effective) interest rate of 8%, receiving cash of $37,282,062. Interest on the bonds is payable semiannually on December 31 and June 30. The fiscal year of the company is the calendar year.
Instructions
1. Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1, Year 1.
2. Journalize the entries to record the following:
A. The first semiannual interest payment on December 31, Year 1, and the amortization of the bond discount, using the straight-line method. (Round to the nearest dollar.)
B. The interest payment on June 30, Year 2, and the amortization of the bond discount, using the straight-line method. (Round to the nearest dollar.)
3. Determine the total interest expense for Year 1.
4.Compute the price of $37,282,062 received for the bonds by using the present value tables in Appendix A.
| Present value of $1 for 20 semiannual periods at 4.0% semiannual rate | Answer:______ |
| Face amount of bonds | Answer:______ |
| Present value of bond face amount | Answer:______ |
| Present value of an annuity of $1 for 20 periods at 4.0% | Answer:______ |
| Semiannual interest payment | Answer:______ |
| Present value of semiannual interest payment | Answer:______ |
| Total present value of the bond (proceeds) | Answer:______ |
Appendix A
| Present Value of $1 at Compound Interest Due in n Periods | |||||||
|---|---|---|---|---|---|---|---|
| Periods | 4.0% | 4.5% | 5% | 5.5% | 6% | 6.5% | 7% |
| 1 | 0.96154 | 0.95694 | 0.95238 | 0.94787 | 0.94340 | 0.93897 | 0.93458 |
| 2 | 0.92456 | 0.91573 | 0.90703 | 0.89845 | 0.89000 | 0.88166 | 0.87344 |
| 3 | 0.88900 | 0.87630 | 0.86384 | 0.85161 | 0.83962 | 0.82785 | 0.81630 |
| 4 | 0.85480 | 0.83856 | 0.82270 | 0.80722 | 0.79209 | 0.77732 | 0.76290 |
| 5 | 0.82193 | 0.80245 | 0.78353 | 0.76513 | 0.74726 | 0.72988 | 0.71299 |
| 6 | 0.79031 | 0.76790 | 0.74622 | 0.72525 | 0.70496 | 0.68533 | 0.66634 |
| 7 | 0.75992 | 0.73483 | 0.71068 | 0.68744 | 0.66506 | 0.64351 | 0.62275 |
| 8 | 0.73069 | 0.70319 | 0.67684 | 0.65160 | 0.62741 | 0.60423 | 0.58201 |
| 9 | 0.70259 | 0.67290 | 0.64461 | 0.61763 | 0.59190 | 0.56735 | 0.54393 |
| 10 | 0.67556 | 0.64393 | 0.61391 | 0.58543 | 0.55839 | 0.53273 | 0.50835 |
| 11 | 0.64958 | 0.61620 | 0.58468 | 0.55491 | 0.52679 | 0.50021 | 0.47509 |
| 12 | 0.62460 | 0.58966 | 0.55684 | 0.52598 | 0.49697 | 0.46968 | 0.44401 |
| 13 | 0.60057 | 0.56427 | 0.53032 | 0.49856 | 0.46884 | 0.44102 | 0.41496 |
| 14 | 0.57748 | 0.53997 | 0.50507 | 0.47257 | 0.44230 | 0.41410 | 0.38782 |
| 15 | 0.55526 | 0.51672 | 0.48102 | 0.44793 | 0.41727 | 0.38883 | 0.36245 |
| 16 | 0.53391 | 0.49447 | 0.45811 | 0.42458 | 0.39365 | 0.36510 | 0.33873 |
| 17 | 0.51337 | 0.47318 | 0.43630 | 0.40245 | 0.37136 | 0.34281 | 0.31657 |
| 18 | 0.49363 | 0.45280 | 0.41552 | 0.38147 | 0.35034 | 0.32189 | 0.29586 |
| 19 | 0.47464 | 0.43330 | 0.39573 | 0.36158 | 0.33051 | 0.30224 | 0.27651 |
| 20 | 0.45639 | 0.41464 | 0.37689 | 0.34273 | 0.31180 | 0.28380 | 0.25842 |
In: Accounting
| n investment offers $6,900 per year for 10 years, with the first payment occurring one year from now. |
| a. |
If the required return is 5 percent, what is the value of the investment today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| b. | What would the value today be if the payments occurred for 35 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| c. | What would the value today be if the payments occurred for 65 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| d. | What would the value today be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
In: Finance
In November and December Year 1, a newly organized magazine publisher received $72,000 for 1,000 three-year subscriptions at $24 per year, starting with the January Year 2 issue. What amount should they report in the Year 1 income statement for subscription revenue if none of the magazines were delivered in Year 1?
In: Accounting
Your first job out of college will pay you $47,000 in year 1 (exactly one year from today), growing at a rate of 3.9% per year thereafter. You will also receive a one time bonus of $22,000 at the same time as your first salary. You plan to retire in 44 years (you'll receive 44 years of salary). If the applicable discount rate is 5%, what is the present value of these future earnings today? Round to the nearest cent.
In: Finance
A rich aunt has promised you $ 4000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 4 % larger than the last payment. She will continue to show this generosity for 20myears, giving a total of 20 payments. If the interest rate is 4 % , what is her promise worth today?
In: Finance