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each part that follows use the economic data given to find national saving, private ving, public saving, and the national saving rate. ousehold saving=200 Business saving=400 Government purchases of goods and set services=260 Government transfers and interest payments=135 Tax collections=245GDP=3,000 Instructions: Enter your response for the national saving rate rounded to one decimal place. If you are entering any negative numbers, be sure to include a (-) in front of those numbers. square square square square b GDP=6,400 Tax collections=1,925 Government transfers and interest payments=400 Consumption expenditures=4,570 Government budget surplus=100 Instructions: Enter your response for the national saving rate rounded to one decimal place. If you are entering any negative numbers, be sure to include a (-) in front of those numbers. National saving square square square square Consumption expenditures=4,800 Investment=1,000 Government purchases=1,000 Net exports=16 Tax collections=1,700 Government transfers and interest payments=500 Instructions: Enter your response for the national saving rate rounded to one decimal place. If you are entering any negative numbers, be sure to include a (-) in front of those numbers.
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### A. National Saving Rate: 15.0%<br />### B. National Saving Rate: 6.3%<br />### C. National Saving Rate: 7.6%
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## Step 1: Calculate Private Saving<br />### Private saving is the sum of household saving and business saving. Given:<br />- Household saving = 200<br />- Business saving = 400<br /><br />\[<br />\text{Private Saving} = 200 + 400 = 600<br />\]<br /><br />## Step 2: Calculate Public Saving<br />### Public saving is calculated as tax collections minus government purchases and transfers/interest payments. Given:<br />- Tax collections = 245<br />- Government purchases = 260<br />- Government transfers and interest payments = 135<br /><br />\[<br />\text{Public Saving} = 245 - (260 + 135) = 245 - 395 = -150<br />\]<br /><br />## Step 3: Calculate National Saving<br />### National saving is the sum of private saving and public saving.<br /><br />\[<br />\text{National Saving} = 600 + (-150) = 450<br />\]<br /><br />## Step 4: Calculate National Saving Rate<br />### The national saving rate is the national saving divided by GDP, expressed as a percentage. Given GDP = 3,000:<br /><br />\[<br />\text{National Saving Rate} = \left(\frac{450}{3000}\right) \times 100 = 15\%<br />\]<br /><br />## Step 5: Repeat for Part B<br />### Given:<br />- GDP = 6,400<br />- Tax collections = 1,925<br />- Government transfers and interest payments = 400<br />- Consumption expenditures = 4,570<br />- Government budget surplus = 100<br /><br />### Calculate Public Saving:<br />\[<br />\text{Public Saving} = \text{Budget Surplus} = 100<br />\]<br /><br />### Calculate Private Saving:<br />\[<br />\text{Private Saving} = \text{GDP} - \text{Consumption Expenditures} - \text{Government Purchases}<br />\]<br />Assuming government purchases are not given separately, use:<br />\[<br />\text{Private Saving} = 6,400 - 4,570 - (1,925 - 400) = 305<br />\]<br /><br />### Calculate National Saving:<br />\[<br />\text{National Saving} = 305 + 100 = 405<br />\]<br /><br />### Calculate National Saving Rate:<br />\[<br />\text{National Saving Rate} = \left(\frac{405}{6400}\right) \times 100 \approx 6.3\%<br />\]<br /><br />## Step 6: Repeat for Part C<br />### Given:<br />- Consumption expenditures = 4,800<br />- Investment = 1,000<br />- Government purchases = 1,000<br />- Net exports = 16<br />- Tax collections = 1,700<br />- Government transfers and interest payments = 500<br /><br />### Calculate GDP:<br />\[<br />\text{GDP} = \text{Consumption} + \text{Investment} + \text{Government Purchases} + \text{Net Exports}<br />\]<br />\[<br />\text{GDP} = 4,800 + 1,000 + 1,000 + 16 = 6,816<br />\]<br /><br />### Calculate Public Saving:<br />\[<br />\text{Public Saving} = 1,700 - (1,000 + 500) = 200<br />\]<br /><br />### Calculate Private Saving:<br />\[<br />\text{Private Saving} = \text{GDP} - \text{Consumption} - \text{Taxes}<br />\]<br />\[<br />\text{Private Saving} = 6,816 - 4,800 - 1,700 = 316<br />\]<br /><br />### Calculate National Saving:<br />\[<br />\text{National Saving} = 316 + 200 = 516<br />\]<br /><br />### Calculate National Saving Rate:<br />\[<br />\text{National Saving Rate} = \left(\frac{516}{6816}\right) \times 100 \approx 7.6\%<br />\]
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