Negotiating a consumer loan is not always straightforward. One form of loan is the discount installment loan, which works as follows. Suppose a loan has a face value of $1,000, the interest rate is 15%, and the duration is 18 months. The interest is computed by multiplying the face value of $1,000 by 0.15, to yield $150. That figure is then multiplied by the loan period of 1.5 years to yield $225 as the total interest owed. That amount is immediately deducted from the face value, leaving the consumer with only $775. Repayment is made in equal monthly installments based on the face value. So the monthly loan payment will be $1,000 divided by 18, which is $55.56. This method of calculation may not be too bad if the consumer needs $775 dollars, but the calculation is a bit more complicated if the consumer needs $1,000. Write a
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- In the US Higher Education sector, a degree is classified using a Grade Point Average (GPA). The grades ‘A’, ‘B’, ‘C’, ‘D’ or ‘F’ are called academic grades. Each ‘A’ is worth 4 points, each ‘B’ is worth 3 points, each ‘C’ is worth 2 points, each ‘D’ is worth 1 point and each ‘F’ is worth 0 points. The GPA is found by calculating the number of points and then dividing by the number of academic grades. A student may also have a non-academic grade of ‘W’ (for withdrew) which is not counted at all in the calculation. You can assume that the student will have at least one academic grade in their list of grades. There are many ways of calculating a GPA from a list of grades, but you must follow the algorithm given by this top-level decomposition: > Find GPA. >> Input a list of academic and non-academic grades. >> Create a new list that consists of the number of points for each academic grade in the input list. >> Add up the values in the new list and divide by the…arrow_forwardStock Return Performance Analysis: An investment firm monitors the daily returns of a particular stock in the S&P 500. The daily return is defined as the percentage change in the stock's price from the previous day. The firm recorded the stock's daily returns at random times during the last quarter of the year. Assume that the standard deviation of the population of daily returns is known to be σ = 2.8%. The data for daily return for the particular stock in the S&P 500 is given in Excel under “DAILY RETURN” sheet. a) Find the mean and the standard deviation of 20 random samples of daily returns.? b) Based on a 95% confidence level, what is the margin of error for the mean estimate of the daily return? c) Given the margin of error computed in part (b), provide a 95% confidence interval for μ, the mean daily return for this stock. The stock’s long-term average daily return is stated as 1.5%. Are the results of this analysis consistent with the stock’s long-term…arrow_forwardStock Return Performance Analysis: An investment firm monitors the daily returns of a particular stock in the S&P 500. The daily return is defined as the percentage change in the stock's price from the previous day. The firm recorded the stock's daily returns at random times during the last quarter of the year. Assume that the standard deviation of the population of daily returns is known to be σ = 2.8%. The data for daily return for the particular stock in the S&P 500 is given in Excel under “DAILY RETURN” sheet. a) Find the mean and the standard deviation of 20 random samples of daily returns.?arrow_forward
- Stock Return Performance Analysis: An investment firm monitors the daily returns of a particular stock in the S&P 500. The daily return is defined as the percentage change in the stock's price from the previous day. The firm recorded the stock's daily returns at random times during the last quarter of the year. Assume that the standard deviation of the population of daily returns is known to be σ = 2.8%. The data for daily return for the particular stock in the S&P 500 is given in Excel under “DAILY RETURN” sheet. a) Based on a 95% confidence level, what is the margin of error for the mean estimate of the daily return?arrow_forwardStock Return Performance Analysis: An investment firm monitors the daily returns of a particular stock in the S&P 500. The daily return is defined as the percentage change in the stock's price from the previous day. The firm recorded the stock's daily returns at random times during the last quarter of the year. Assume that the standard deviation of the population of daily returns is known to be σ = 2.8%. The data for daily return for the particular stock in the S&P 500 is given in Excel under “DAILY RETURN” sheet. a) Given the margin of error computed in part (b), provide a 95% confidence interval for μ, the mean daily return for this stock. The stock’s long-term average daily return is stated as 1.5%. Are the results of this analysis consistent with the stock’s long-term performance?arrow_forwardStock Return Performance Analysis: An investment firm monitors the daily returns of a particular stock in the S&P 500. The daily return is defined as the percentage change in the stock's price from the previous day. The firm recorded the stock's daily returns at random times during the last quarter of the year. Assume that the standard deviation of the population of daily returns is known to be σ = 2.8%. The data for daily return for the particular stock in the S&P 500 is given in Excel under “DAILY RETURN” sheet. a) Based on a 95% confidence level, what is the margin of error for the mean estimate of the daily return? b) Given the margin of error computed in part (b), provide a 95% confidence interval for μ, the mean daily return for this stock. The stock’s long-term average daily return is stated as 1.5%. Are the results of this analysis consistent with the stock’s long-term performance?arrow_forward
- When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)arrow_forwardMatlabarrow_forwardThe mitotic index is a calculated value that represents the percentage of cells in a sample that are actively dividing. It involves counting the total number of cells present including those actively dividing or those in interphase, the total number of cells that are actively dividing (not including interphase), and then calculating what percentage of the total cells are actively dividing (the percentage undergoing mitosis). The formula is: Mitotic index= # of cells in mitosis / # of cells in total x 100% Use this formula to calculate the mitotic index for the diagram seen in Question 5. Show your calculations (you can use * for multiplication and / for division if you prefer) and indicate your final answer as a percentage rounded to the nearest tenth of a percentage (1 decimal place). Note: The mitotic index seen in this simulation is much higher than you would see in a real tissue sample. The sample was simulated this way so that the counting and calculations would be easier…arrow_forward
- Computer Progarrow_forwardPython Programming: Option Pricing Using Monte Carlo Simulationarrow_forwardA three stage amplifier is to have an overall noise temperature no greater than 7O K. The overall gain of the amplifier is to be at least 45 dB. The amplifier is to be built by adding a low-noise first stage to an existing two-stage amplifier that has the gains and noise figures shown below. The stage number refer to locations in the new amplifier. Stage Power Gain Noise Figure 20 dB 3 dB 13 15 dB 6 dB a. What is the minimum gain in decibels that the first stage can have? b. Using the gain you calculated in part (a), calculate the maximum noise figure in decibels that the first stage can have. Express answer with two decimal places. c. Suppose the gain of the first stage could be increased by 3 dB without affecting its noise figure. What would be the effect on the noise temperature of the complete amplifier?arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrOperations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
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