Complete the table below using the exponential decay formula. Original Decay Rate per Amount Year 80,000 15% Number of Years, x 20 Final Amount after x Years of Decay
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- Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 15.3 percent and the standard deviation of this asset for the period was 33.2 percent. Use the NORMDIST function in Excel® to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161.) b. What is the approximate probability that your money will triple in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616.)Over a 46-year period an asset had an arithmetic return of 11.9 percent and a geometric return of 9.8 percent. Using Blume’s formula, what is your best estimate of the future annual returns over 8 years? 13 years? 23 years? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Future annual returns 8 years % 13 years % 23 years %Use the present value table to complete: (Round the "PV factor" answer to 4 decimal places.) Future Amount Desired Length of Time Rate Compounded Table Periods Rate Used P.V. Factor P.V. Amount $12,000 12 yrs 12% semiannually _______%
- Use the present value table to complete: (Round the "PV factor" to 4 decimal places and final answer to the nearest cent.) Future Amount Desired Length of Time Rate Compounded Table Period Rate Used P.V. Factor P.V. Amount $11,000 6 yrs 12% quarterly %Please Calculate the Following with the Table Provided. a) Beta’s Annual Equivalent Worth (AEW).b) Alpha’s AEW over 30 years (it was repeated several times without changes to its initial parameter values).c) The best of the three (3) harvesters based on the NFW decision criterion.Using linear interpolation, How long it will take for 7,350 to amount to 18,500, if invested at 8% m = 12?
- Assume that we wish to determine the expected value and standard deviation of returns of Assets A. The expected returns of assets A and probabilty for each of the next 5 years are given in columns 1 and 2 respectively in the table. Find the expected value and standard deviation of returns for Asset A Year Asset A Probability 2018 9 % 10 % 2019 11 % 20 % 2020 8 % 10 % 2021 12 % 30 % 2022 10 % 20 %.1) The simple interest for an investment is jointly proportional to the time and the principal. After one quarter (3 months), the interest on a principal of $5000 is $43.75 a) Write an equation relating the interest ,principal and time b) Find the interest after three quarters 2) The Kinetic energy E of an object varies jointly with the object mass m and the square of the object velocity v .An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules . a) Write an equation relating the interest ,principal and time b) What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?Complete the following using present value. Amount $6,600, Time 10 years, Rate 2%, Compounded semiannually. What is the period used? What is the rate used? What PV factor used? What is the desired end of period amount?
- complete the following using present value. (do not round intermediate calculations. round the "rate used" to the nearest tenth percent. round the "pv factor" to 4 decimal places and final answer to the nearest cent.) Amount desired at end of period: $7,800, Length of time: 10 years, Rate: 4%, Compounded: Semiannualy, Period used: ??, Rate used: ??, pv factor used: ??, pv of amount desired at end of period: ?? (on pv table 12.3)Consider the following time series: a. Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? b. Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. c. Compute the quarterly forecasts for next year.Consider the following time series data: Construct a time series plot. What type of pattern exists in the data? Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2. 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. Compute the quarterly forecasts for next year based on the model you developed in part (b). Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1, t = 2 for quarter 2 in year 1, … t = 12 for quarter 4 in year 3. Compute the quarterly forecasts for next year based on the model you developed in part (d). Is the model you developed in part (b) or the model you developed in part (d) more effective? Justify your answer.