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- If you receive 500 in simple interest on a loan that you made for 10,000 for five years, what was the interest rate you charged?Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is this fear true? Does a high risk mean the return must be low?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)
- 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.A man, pondering of retirement, determined that 300,000/year will be sufficientfor him to live without the need to work. Upon his retirement, howmuchmusthe invest in a bank that offers 5% interest rate to receive the amount everyyearcontinuously?You are going to get %10,000,000 in 45 years' time. What is the value of that money today assuming an interest rate of 39% (annual rate) is discounted monthly?
- 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).Imagine you've embarked on a new career with the following income structure: During the first 3 months, which serve as a training phase, you will receive $2,000 at the end of the first month, $3,000 at the end of the second month, and $4,000 at the end of the third month. After completing the training phase, your monthly income will be a fixed $4,500 for the rest of your career. Assuming a 6% interest rate, what is the present value of your total income in this role? a. $67,322.3 b. $70,886.7 c. $75,443.3 d. $79,701.1 e. $83,435.8Q. 3 The future value of an annuity will increase if the interest rate goes up , but the present value of the same annuity will decrease as the interest rate goes up . Select one : O. True O.False
- SHOW SOLUTIONS AND WRITE NEATLY THE FORMULA COMPOUND INTEREST What nominal rate compunded monthly will yiled an effective interest rate of 5.78% in 2 decimal places. INPUT the % signEconomics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.