sylvia is considering investing in one of two bond packages offered to her by different brokers. broker u…

sylvia is considering investing in one of two bond packages offered to her by different brokers. broker u suggests that sylvia buy two par value $1,000 bonds from franklin county, three par value $500 bonds from enam telecom, and two par value $1,000 bonds from the city of iligs.. franklin county bonds are selling at 96.674, enam telecom bonds are selling at 109.330, and iligs bonds are selling at 103.851. broker v suggests that sylvia buy four par value $500 bonds from trochel office supplies, one par value $500 bond from okaloosa county, and three par value $1,000 bonds from globin publishing. bonds from trochel office supplies are selling at 105.142, okaloosa county bonds are selling at 85.990, and globin publishing bonds are selling at 97.063. if broker u charges a commission of 2.8% of the market value of the bonds sold and broker v charges a fee of $65 for each bond sold, which bond package will cost sylvia less, and by how much? a. broker vs bond package will cost sylvia $366.00 less than broker us. b. broker vs bond package will cost sylvia $205.77 less than broker us. c. broker us bond package will cost sylvia $156.02 less than broker vs. d. broker us bond package will cost sylvia $361.79 less than broker vs.
Answer
Explanation:
Step1: Calculate market - value of Broker U's bond package
For Franklin County bonds: $2\times1000\times\frac{96.674}{100}=2\times966.74 = 1933.48$ For Enam Telecom bonds: $3\times500\times\frac{109.330}{100}=3\times546.65 = 1639.95$ For Iligs bonds: $2\times1000\times\frac{103.851}{100}=2\times1038.51 = 2077.02$ Total market - value of bonds from Broker U: $1933.48 + 1639.95+2077.02=5650.45$ Commission of Broker U: $0.028\times5650.45 = 158.2126$ Total cost of Broker U's package: $5650.45+158.2126 = 5808.6626$
Step2: Calculate market - value of Broker V's bond package
For Trochel Office Supplies bonds: $4\times500\times\frac{105.142}{100}=4\times525.71 = 2102.84$ For Okaloosa county bonds: $1\times500\times\frac{85.990}{100}=429.95$ For Globin Publishing bonds: $3\times1000\times\frac{97.063}{100}=3\times970.63 = 2911.89$ Total market - value of bonds from Broker V: $2102.84 + 429.95+2911.89=5444.68$ Fee for Broker V: $(4 + 1+3)\times65=8\times65 = 520$ Total cost of Broker V's package: $5444.68+520 = 5964.68$
Step3: Calculate the difference in cost
Difference: $5964.68 - 5808.6626=156.0174\approx156.02$
Answer:
c. Broker U's bond package will cost Sylvia $156.02 less than Broker V's.