A proposed project has the following cash flow estimates: Part a Part b End of Year Mean Net Cash Flow Standard Deviation of Cash Flow O Probability: 1 2 3 4 5 $-35,000 $3,800 $8.100 % $12,400 $12,400 $12.400 The probability that the net present value is positive. $750 $1,800 Assuming independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 18%, determine an analytical solution for the following: Click here to access the TVM Factor Table Calculator $2.900 $4.900 $6.100 $7,000
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- Mortgage rates: Following are interest rates (annual percentage rates) for a 30 -year fixed rate mortgage from a sample of lenders in Macon, Georgia for one day. It is reasonable to assume that the population is approximately normal. 4.752 4.374 4.172 4.678 4.421 4.227 4.125 4.251 3.953 4.194 4.295 Send data to Excel Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 (a) Construct a 90% confidence interval for the mean rate. Round the answer to at least four decimal places. A 90% confidence interval for the mean rate is <<μ .Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Apple Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 135.6974 129.4100 156.6900 116.3600 148.7600 12.11% 2020 95.3468 75.0875 136.6900 56.0925 132.6900 80.75% 2019 52.0640 39.4800 73.4125 35.5475 73.4125 86.16% 2018 47.2634 43.0650 58.0175 36.7075 39.4350 -6.79% 2017 37.6378 29.0375 44.1050 29.0050 42.3075 46.11% 2016 26.1510 26.3375 29.5625 22.5850 28.9550 10.03% 2015 30.0096 27.3325 33.2500 25.7800 26.3150 -4.64% 2014 23.0661 19.7546 29.7500 17.8494 27.5950 37.72% 2013 16.8798 19.6082 20.3604 13.9475 20.0364 5.42% 2012 20.5732 14.6868 25.0750 14.6868 19.0062 31.40% 2011 13.0002 11.7704 15.0800 11.2614…Monthly Sales 6267.19 7058.06 7119.5 7147.18 7198.52 7298.09 7325.7 7335.68 7355.97 7481.05 7490.23 7530.08 7616.09 7682.69 7684.14 7704.12 7704.98 7779.28 7798.23 7815.15 7844.16 7890.21 7977.6 7993.16 8021.03 8028.37 8068.86 8082.42 8096.17 8119.25 8129.21 8190.68 8255.28 8282.44 8376.31 8392.4 8400.95 8451.16 8456.66 8505.35 8539.25 8543.65 8573.05 8641.78 8667.48 8751.08 8777.97 8800.08 8888.65 8907.03 9096.87 9241.74 9411.68 9450.73 9484.62 9514.57 9521.4 9524.91 9733.44 10123.24 Given the company’s performance record and based on the empirical rule of normal distribution (also known as the 68%-95%-99.7% rule), what would be the lower bound of the range of sales values that contains 68% of the monthly sales? What would be the upper bound of the range of sales values that contains 68% of the monthly sales?
- Product failure behavior. An article in Hotwire (Dec. 2002) discussed the length of time till failure of a product pro- duced at Hewlett-Packard. At the end of the product’s life- time, the time till failure is modeled using an exponential distribution with mean 500 thousand hours. In reliability jargon, this is known as the “wear-out” distribution for the product. During its normal (useful) life, assume the prod- uct’s time till failure is uniformly distributed over the range 100 thousand to 1 million hours. a. At the end of the product’s lifetime, find the probability that the product fails before 700 thousand hours. b. During its normal (useful) life, find the probability that the product fails before 700 thousand hours. c. Show that the probability of the product failing before 830 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distributionBorrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 175 152 125 124 95 83 34 29 21 89 Historic Debt per Capita 147 134 86 113 58 62 33 36 49 72 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 23 28 18 29 197 189 144 124 102 71 Historic Debt per Capita 24 12 12 29 106 156 145 119 118 76 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.01 level of significance. (a) What is the level of significance? Compute the sample test statistic. Find the P-value of the sample test statistic.What is the standard deviation of the following investment: Actual Return Probability 5% 40% 45% 10% -12% -5% 15% 20% ○ 4.6% 12.8% 11.0% 9.2%
- Risk and Returns. Windsor stock has produced returns of 22.6 percent, 18.7 percent, 15.7 percent, 11.3 percent, 9.8 percent, 7.2 percent, 5.8 percent, 3.1 percent, 1.7 percent, 0.3%, -2.7% and -5.4 percent over the past twelve years, respectively. What range of returns would you expect to see on this stock 95 percent of the time? Please show workMortgage rates: Following are interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lenders in Macon, Georgià for one day. It is reasonable to assume that the population is approximately normal. 4.755 4.376 4.175 4.676 4.422 4.226 4.123 4.250 3.955 4194 Send data to Excel Part: 0/ 2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean irate. Round the answer to at least four decimal places A 90% confidence intervall for the mean rate isUse the data from the following four stocks to answer the questions below: Yields Year TLS DI PFE WMT 20x5 12.00% 4.50% 5.80% 11.30% 20x6 13.30% 5.30% 5.70% 9.00% 20x7 10.20% 3.10% 5.90% 13.90% 20x8 9.30% 2.70% 4.50% 14.80% 20x9 8.60% 1.90% 6.30% 15.00% a. Classify the correlations between each pair of stocks as positive correlation (PC), perfectly positive correlation (PPC), negative correlation (NC), perfectly negative correlation (PNC), and no correlation (NC): TLS – DI ___________ DI – PFE __________ TLS – PFE __________ DI – WMT _________ TLS – WMT _________ PFE – WMT _________
- observe the patterns of the prices of oil then compute for the percentage of increase/decrease yearly Event Numbers Patterns Prices of oil 2016 2,195.24 2017 2576.07 2018 3307.81 2019 2889.96 2020 2012.17 2021 3337.2310 The observed insurance policy deviates from the predicted policy, on average, by _______ ($1,000) a 44.465 b 49.406 c 54.895 d 60.994The Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below interest rate (%) 10.30 Year Median home price S183,800 $183,200 1988 1989 10.30 1990 10.10 $174,900 1991 9.30 S173,500 $172,900 $173,200 1992 8.40 1993 7.30 1994 8.40 $173,200 S169,700 S174,500 1995 7.90 1996 7.60 1997 7.60 $177,900 $188,100 S203,200 $230,200 $258,200 S309,800 1998 6.90 1999 7.40 2000 8.10 2001 7.00 2002 6.50 2003 5.80 $329,800 2004 5.80 $431,000 2005 2006 2007 $515,000 $537,000 $496,000 5.80 6.40 6.30 2008 6.00 $352,000 $232,000 $291,700 $262,900 2009 5.00 2010 4.70 2011 4.40 2012 2013 3.60 $299,200 4.00 $321,200 $373,500 $358,100 $382,500 $402,900 2014 4.10 2015 3.80 2016 3.60 2017 4.00 a) Estimate a simple linear regression model and find the value of the parameters for the estimation of mortgage rates and the median home price. b) Interpret the intercept and the slope coefficients c) State the correlation coefficient and the…