To determine which aspect of Edgar's investment in Cawh Consolidated Bank offers a greater percent yield, we need to calculate the percent yield for both the stocks and the bonds.
Given:
- Edgar owns 234 shares of Cawh Consolidated Bank.
- Each share pays a yearly dividend of $3.15.
- Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank.
- The bonds had a market value of $1,050.166 when he bought them.
- The bonds pay 8.3% interest yearly.
Let's calculate the percent yield for both the stocks and the bonds:
1. Percent Yield for Stocks:
- Total dividend from stocks = 234 shares * $3.15 per share = $738.30
- Total investment in stocks = 234 shares * $21.38 per share = $4,999.32
- Percent yield for stocks = (Total dividend from stocks / Total investment in stocks) * 100
2. Percent Yield for Bonds:
- Total interest from bonds = 2 bonds * $1,000 par value * 8.3% interest = $2,660
- Total investment in bonds = 2 bonds * $1,050.166 market value = $2,100.332
- Percent yield for bonds = (Total interest from bonds / Total investment in bonds) * 100
Now, we can calculate the percent yield for both the stocks and the bonds and compare them to determine which aspect of Edgar's investment offers a greater percent yield.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(234\times 3.15\right)}{4999.32}\)
- step1: Remove the parentheses:
\(\frac{234\times 3.15}{4999.32}\)
- step2: Multiply the numbers:
\(\frac{737.1}{4999.32}\)
- step3: Convert the expressions:
\(\frac{\frac{7371}{10}}{\frac{124983}{25}}\)
- step4: Multiply by the reciprocal:
\(\frac{7371}{10}\times \frac{25}{124983}\)
- step5: Reduce the numbers:
\(\frac{91}{2}\times \frac{5}{1543}\)
- step6: Multiply the fractions:
\(\frac{91\times 5}{2\times 1543}\)
- step7: Multiply:
\(\frac{455}{3086}\)
Calculate or simplify the expression \( (2*1000*0.083)/2100.332 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(2\times 1000\times 0.083\right)}{2100.332}\)
- step1: Remove the parentheses:
\(\frac{2\times 1000\times 0.083}{2100.332}\)
- step2: Multiply the terms:
\(\frac{166}{2100.332}\)
- step3: Convert the expressions:
\(\frac{166}{\frac{525083}{250}}\)
- step4: Multiply by the reciprocal:
\(166\times \frac{250}{525083}\)
- step5: Multiply:
\(\frac{166\times 250}{525083}\)
- step6: Multiply:
\(\frac{41500}{525083}\)
The percent yield for the stocks is approximately 14.74% and the percent yield for the bonds is approximately 7.90%.
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
The correct answer is b. The stocks have a yield 6.84 percentage points greater than that of the bonds.
The stocks have a yield 6.84 percentage points greater than that of the bonds.