Buying your own home is often mentioned as "the best investment you can make." In 1964, the average home sale price was $19,600. By 2009, the average home sale price had risen to $272.900. What was the average annual rate of change in the price of houses over this 45 year time period? 10.52% per year 12.16% per year 6.03% per year 3.74% per year
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- 11 years ago the Queen bought a property in Queens for $24,311. Today the property is worth $55,465. Estimate the average annual rate of growth over the years The geometric sequence, or compound interest model should be used here, and we assume the growth was assessed annually. Enter answer as a whole number without the % sign. For example, if the answer is 25.8%, enter 26. 25Assume home prices in Cobb county increase annually at 3%. For how much would you expect to sell a property in 8 years if its current value is $200,000? $253,354.02 $157,881.85 $248,000 $242,000Over the past few years, housing costs have increased at a rate of 6% per year. If this trend were to continue, how many years would it be before a house doubled in value? 18 years 6 years 12 years 9 years.
- In 2011, home prices and mortgage rates fell so far that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent for 10 markets and the monthly mortgage on the median priced home (including taxes and insurance) for 10 cites where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 2627, 2011). a. Develop a scatter chart for these data, treating the average asking rent as the independent variable. Does a simple linear regression model appear to be appropriate? b. Use a simple linear regression model to develop an estimated regression equation to predict the monthly mortgage on the median priced home given the average asking rent. Construct a plot of the residuals against the independent variable rent. Based on this residual plot, does a simple linear regression model appear to be appropriate? c. Using a quadratic regression model, develop an estimated regression equation to predict the monthly mortgage on the median-priced home, given the average asking rent. d. Do you prefer the estimated regression equation developed in part (a) or part (c)? Create a plot of the linear and quadratic regression lines overlaid on the scatter chart of the monthly mortgage on the median-priced home and the average asking rent to help you assess the two regression equations. Explain your conclusions.The average price of a new home is $520,000.If new home prices are increasing at a rate of 10%per year, how much will a new home cost in 6 years?3.10 What will be the amount accumulated by eachof these present investments?(a) $4,000 in 6 years at 7% compounded annually.(b) $6,750 in 15 years at 9% compounded annually.(c) $10,500 in 25 years at 6% compounded annually.(d) $15,000 in 8 years at 7.5% compounded annually.“Sydney as a whole has grown by an average of 6.83% each year for the past 10 years, according to Residex in December last year” Source: http://www.yourmortgage.com.au/article/how-long-does-it-take-for-your-property-to-double-in-value-78819.aspx. Other things being equal, an increase in houses price with no change in expected rental growth indicates lower future returns to housing. True False
- Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the investment's value has decreased to $6,800 by the end of the year. (a) What is the rate of return for this investment? (Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.) Rate of return % (b) Is the rate of return a positive or negative number? Positive O NegativeAssume that at the beginning of the year, you purchase an investment for $6,500 that pays $95 annual income. Also assume the investment's value has increased to $7,050 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.Assume that at the beginning of the year, you purchase an investment for $6,300 that pays $130 annual income. Also assume the investment's value has increased to $6,900 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Is the rate of return a positive or a negative number? Positive Negative
- You have been investing $350 a month for the last 8 years. Today, your investment account is worth $43,262. What is annual rate of return? Group of answer choices 6.15% 7.87% 9.69% 7.15% 6.88%Calculate the real dollar rate of return on a painting whose price rises from $150,000 to $200,000 in a year, while all dollar prices increased by 4 percent.The real rate of return will be __ percent (Enter your response as a percentage rounded to one decimal place.)If you invest $25,000 today and eight years later receive $34,010.59, what annually compounded return have you earned? (answer in percentage, but without the % sign, e.g. 6.51% is entered as 6.51 - not 0.0651)