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The expression 
1.08 s+1.02 b predicts the end-of-year value of a financial portfolio, where 
s is the value of stocks in dollars and 
b is the value of bonds in dollars in the portfolio at the beginning of the year. What is the predicted end-ofyear value, in dollars, of a portfolio that begins the year with 200 dollars in stocks and 100 dollars in bonds?

The expression 1.08s+1.02b 1.08 s+1.02 b predicts the end-of-year value of a financial portfolio, where s s is the value of stocks in dollars and b b is the value of bonds in dollars in the portfolio at the beginning of the year. What is the predicted end-of year value, in dollars, of a portfolio that begins the year with 200200 dollars in stocks and 100100 dollars in bonds?

Full solution

Q. The expression 1.08s+1.02b 1.08 s+1.02 b predicts the end-of-year value of a financial portfolio, where s s is the value of stocks in dollars and b b is the value of bonds in dollars in the portfolio at the beginning of the year. What is the predicted end-of year value, in dollars, of a portfolio that begins the year with 200200 dollars in stocks and 100100 dollars in bonds?
  1. Identify Values: Identify the values given in the problem.\newlineWe are given the initial value of stocks ss as $200\$200 and the initial value of bonds bb as $100\$100. The expression to calculate the end-of-year value of the portfolio is 1.08s+1.02b1.08s + 1.02b.
  2. Substitute Given Values: Substitute the given values into the expression.\newlineWe need to substitute s=200s = 200 and b=100b = 100 into the expression 1.08s+1.02b1.08s + 1.02b to find the end-of-year value of the portfolio.
  3. Perform Calculations: Perform the calculations.\newlineNow we calculate the expression with the substituted values:\newline1.08×200+1.02×1001.08 \times 200 + 1.02 \times 100\newline= 216+102216 + 102\newline= 318318 \newlineThe predicted end-of-year value of the portfolio is 318318 dollars.

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