Accounting AI Solver
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Expert help when you need it- Q1:What is the present worth of the following series of payments? a. $5,000 at the end of each six-month period for 12 years at 9% compounded semiannually. b. $7,000 at the end of each quarter for 10 years at 8% compounded quarterly. c. $3,500 at the end of each month for five years at 6% compounded monthly.AnswerTo calculate the **present worth** of each series of payments in your screenshot, we can use the **Present Value of an Annuity Formula**: PV = PMT *(1 - 1/(1 + r)^n) /r Where: - PV = Present value - PMT = Payment amount per period - r = Periodic interest rate (annual rate divided by number of compounding periods per year) - n = Total number of payments Let's calculate each part step-by-step: --- ### Part (a) - Payment PMT = 5000 - Interest rate i = 9% compounded semiannually, so r = 9%/2} = 4.5% = 0.045 - Total periods n = 12 *2 = 24 PV_a = 5000 *(1 - [1/(1 + 0.045)^(24)])/ 0.045 --- ### Part (b) - Payment PMT = 7000 - Interest rate i = 8% compounded quarterly, so r = 8%/4 = 2% = 0.02 - Total periods n = 10 *4 = 40 - PV_b = 7000 *(1 - {1/1 + 0.02)^(40)])/ 0.02 --- ### Part (c) - Payment PMT = 3500 - Interest rate i = 6% compounded monthly, so r = {6%/12} = 0.5% = 0.005 - Total periods n = 5 * 12 = 60 PV_c = 3500 *(1 - [1/(1 + 0.005)^(60)]) / 0.005 I will now calculate these values for you. Here are the present values for each series of payments: Part (a) - Present Value: $72,477.39 Part (b) - Present Value: $191,488.35 Part (c) Present Value: $181,039.46 These values represent the current worth of the future payment streams, discounted at their respective interest rates and compounding periods. Let me know if you need further assistance!
- Q2:Consider B&B Company’s financial data as follows: (unit: millions of dollars except ratio figures) Cash and marketable securities: $2,000 Fixed assets: $6,500 Sales: $20,500 Net income: $4,100 Inventory: $3,250 Current ratio: 2.8 Average collection period: 40 days Average common equity: $10,000 Fill in the blanks by calculating the appropriate accounting entries in the balance or the income statement. Category Financial Data Accounts Receivable _____________ Current Assets _____________ Long-Term Debt _____________ Total Asset Turnover _____________
AnswerAverage collection period = Accounts Receivables/Sales*365 days 40 Days = Accounts Receivables/$20,500*365 days Accounts Receivables = $20500*40/365 Accounts Receivables = $2,246.58 Current Assets = Cash and marketable securities + Inventory + Accounts Receivables = $7,496.58 Long-term debt= To Calculate long-term debt, we must first calculate total assets, then current lability Total Assets = Fixed Assets + Current Assets $13,996.58 Current Liability = Current Assets/Current ratio $2,677.35 Long-term debt= Total liabilities and equity - current liability - common equity Total liability and equity = Total assets Long-term debt= $1,319.23 Total asset turnovers = Sales/Total assets 1.46. - Q3:You are considering investing $1,000 at an interest rate of 6.5% compounded annually for five years or investing the $1,000 at 6.8% per year simple interest for five years. Which option is better?AnswerWe will compare future value of to find out which is better. Option 1: Compound Interest FV in case of Compound interest = Principal*(1+rate of interest) ^time = 1000*(1+6.5%) ^5 = 1000*(1.065) ^5 = $1,370.09 Option 2: Simple Interest FV in case of simple interest = Principal + Principal*(Rate of interest)*time = 1000 + 1000*6.8%*5 = 1000 + 340 = $1,340 Since Option 1 is giving higher future value, compound interest investi
- Q4:A project is expected to generate a cash flow of $2,000 in year 1, $800 in year 2, and $1,000 in year 3. At an interest rate of 10%, what is the maximum amount that you could invest in the project at year 0?AnswerTo find out maximum amount, we can invest today we will calculate the present value of cash flows. The present value of cash flows will be the highest amount, as above this amount the net present value will become negative. Present Value = Future Value*1/ (1+rate of interest) ^time Present Value = 2000*1/ (1.10) + 800*1/ (1.10) ^2 + 1000*1/(1.10)^3 = 2000*0.909 + 800*0.826 + 1000*0.751 = 1818 + 660.80 + 751 = $3,229.80 Answer, this is the amount we can invest max at year 0.
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