Concept explainers
Introduction:
Present value: The present value of a future amount is the worth of the future amount in the present time. The value of an amount today is not the same as the amount tomorrow or in some future date. The worth /value of an amount changes with time as the amount has a time value. The present value of a future amount is calculated by discounting back the future amount to the present, considering the discount rate and the time period for which the amount is discounted as shown below.
Without applying this formula, the present value is calculated by using the present table. Here, present value is calculated by multiplying the future amount with the present discount factor. The present discount factor depends on the discount rate (i) and the time period (n) and it is found from the present table. The present table provides present discount factor for different values of the discount rate (i) and the time period (n).
Future value: The future value of a present amount is the worth of the present amount in the future time. The value of an amount today is not the same as the amount tomorrow or in some future date. The worth /value of an amount changes with time as the amount has a time value. The future value of a present amount is calculated by considering the discount rate/interest rate and the time period for which the amount is discounted as shown below.
Without applying this formula, the future value is calculated by using the future table. Here, future value is calculated by multiplying the present amount with the future discount factor. The future discount factor depends on the discount rate (i) and the time period (n) and it is found from the future table. The future table provides future discount factor for different values of the discount rate (i) and the time period (n).
To determine:
The amount to be paid now for the given investment.
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Check out a sample textbook solution- During its first month of operation, Peter's Auto Supply Corporation, which specializes the sale of auto equipment and supplies, completed the following transactions. July Transactions July 1 Issued Common Stock in exchange for $100,000 cash. July 1 Paid $4,000 rent for the months of July and August July 2 Paid the insurance company $2,400 for a one year insurance policy, beginning July 1. July 5 Purchased inventory on account for $35,000 (Assume that the perpetual inventory system is used.) July 6 Borrowed $36,500 from a local bank and signed a note. The interest rate is 10%, and principal and interest is due to be repaid in six months. July 8 Sold inventory on account for $17,000. The cost of the inventory is $7,000. July 15 Paid employees $6,000 salaries for the first half of the month. July 18 Sold inventory for $15,000 cash. The cost of the inventory was $6,000. July 20 Paid $15,000 to suppliers for the inventory purchased on January 5. July 26…arrow_forwardDuring its first month of operation, Peter's Auto Supply Corporation, which specializes the sale of auto equipment and supplies, completed the following transactions. July Transactions July 1 Issued Common Stock in exchange for $100,000 cash. July 1 Paid $4,000 rent for the months of July and August July 2 Paid the insurance company $2,400 for a one year insurance policy, beginning July 1. July 5 Purchased inventory on account for $35,000 (Assume that the perpetual inventory system is used.) July 6 Borrowed $36,500 from a local bank and signed a note. The interest rate is 10%, and principal and interest is due to be repaid in six months. July 8 Sold inventory on account for $17,000. The cost of the inventory is $7,000. July 15 Paid employees $6,000 salaries for the first half of the month. July 18 Sold inventory for $15,000 cash. The cost of the inventory was $6,000. July 20 Paid $15,000 to suppliers for the inventory purchased on January 5. July 26…arrow_forwardPunch Manufacturing Corporation owns 80 percent of the common shares of Short Retail Stores. The companies’ balance sheets as of December 31, 20X4, were as follows: Punch Manufacturing Corporation Short Retail Stores Assets Cash $ 58,000 $ 38,000 Accounts Receivable 110,000 90,000 Inventory 250,000 125,000 Land 105,000 75,000 Buildings and Equipment 510,000 310,000 Less: Accumulated Depreciation (230,000) (140,000) Investment in Short Retail Stores 140,000 Total Assets $ 943,000 $ 498,000 Liabilities and Equity Accounts Payable $ 113,000 $ 33,000 Bonds Payable 270,000 200,000 Preferred Stock ($10 par value) 200,000 90,000 Common Stock: $10 par value 150,000 $5 par value 100,000 Retained Earnings 210,000 75,000 Total Liabilities and Equity $ 943,000 $ 498,000 Short Retail’s 8 percent preferred stock is convertible into 15,000 shares of common stock, and its 10 percent bonds are convertible into 8,000 shares of common stock.…arrow_forward
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