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Referring to the two figures, which of the following sequences (numbered arrows) shows the logic of the interest-rate effect?
- A. 3, 4, 2, 1
- B. 1, 2, 3, 4
- C. 1, 4, 3, 2
- D. 3, 2, 1, 4
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- Use the definition of the effective rates of interest and discount. j=[Amount at s+t - Amount at s] / [Amt at s]. d_j=[Amount at s+t - Amount at s] / [Amt at s+t]. For 8 items c & d, if j (d_j) is nominal then effective interest (resp. discount) every mth of a period is j^(m)/m (resp. d^(m)/m).Define the following: i) Simple interest. ii) Breakeven point. iii) Ordinary annuity. b) When the price of a commodity is Sh. 530 the unit demand is 55 units. The demand is 120 units when the price is Sh. 270. If the cost of production is C = 2q + 150, Calculate the profit when 5 units are produced and sold. c) The present value of an annuity due is Sh. 284,000 after 4 years at a discount rate of 10%. Calculate the annual payment. d) A man deposits Sh. 12,000 in a bank at the beginning of each year. The compound interest is 12% per year. Calculate how long it will take for an accumulated amount of Sh. 95,000.Suppose Ted deposits $10,000 in a savings plan earning 5% compounded annually and Tess deposits $10,000 ina savings plan earning 10% compounded annually. Both leave their money on deposit for 40 years. Because Tess’srate is twice as great as Ted’s rate, is it true that Tess will earn twice as much interest? Explain why or why not.Then show calculations to prove your point of view. What is the future value for each investment? N i PV PMT FV 5 10
- The disposable income from your part-time job in 2019 was $18,800. In 2018, you borrowed $700 at 14 percent interest. You repaid your loan with interest in 2019. How much would you have available for spending in 2019? (Do not round intermediate calculations.)Question 4 The equivalent rate of interest for a discount rate of 10.5% for 60 days is 104.9825%. Hint: An interest rate r and discount rate d are said to be equivalent if these two simple rates give the same present value for an amount due in the future. Thus, r = d/(1 - dt) and d = r/(1 + rt)Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smart phones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000, Jamie expects a profit margin of 20 percent. During the first year, Jamie is using her savings to cover total costs. Current annual rate of return on saving is 2.1%. This margin is 5 percent larger than that of her largest competitor, Apps, Inc. If Jamie decides to embark on her new venture, Accounting costs: Economic costs: Opportunity costs:
- Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smart phones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000, Jamie expects a profit margin of 20 percent. During the first year, Jamie is using her savings to cover total costs. Current annual rate of return on saving is 2.1%. This margin is 5 percent larger than that of her largest competitor, Apps, Inc. Accounting costs? Economic costs? Opportunity costs? Suppose that Jamie’s estimated selling price is lower than originally projected during the first year. How much revenue would she need in order to earn positive accounting profits? Positive economic profits?Qs 15: Which one of the following statement regarding Factor of Production is correct? (a) It is the input that a firm uses in the production process. (b) It is the output which is produced in the production process. (c) It is the additional input that is required to achieve the maximum output. (d) It is the ratio of the output to that of the input of the production process.Compare the interest earned by $15,000 forten years at 8% simple interest with that earned bythe same amount for ten years at 8% compoundedannually.
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