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Alexus [3.1K]
4 years ago
11

A salesperson working for Broker A sells a $150,000 home listed with another brokerage. The listing commission is 6.5 percent of

the selling price. Of this amount, 5 percent is payable to the referral network that referred the buyer, 35 percent goes to the listing broker, and 60 percent belongs to the cooperating broker. Broker A and the salesperson agreed that she would receive 55 percent of any commission that she generated for their office. For this transaction, she is entitled to receive:_____________
Business
1 answer:
Taya2010 [7]4 years ago
8 0

Answer:

She is entitled to $3,217.5

Explanation:

First the amount the brokers and sales person are interested in is 6.5% of the selling price ($150,000). so calculating 6.5% of the selling price;

6.5% = 6.5/100 = 0.065

∴ 6.5% of $150,000 = 0.065 × 150,000 = $9,750

Next, we are interested in the cooperating broker (Broker A), who the sales person works for. Note that a cooperating broker is the broker who facilitates a real estate transaction, along with a listing broker who listed the property, and in this case the listing broker is Broker A, who the sales person works for.

We are told that the cooperating broker takes 60% of the listing commission ($9,750);

Therefore, 60% of $9,750 = 0.6 × 9,750 = $5,850

Next, we are also told that out of this amount, the sales person is responsible for 55% of the listing commission entering the cooperate broker's office;

Therefore, 55% of $5,850 = 0.55 × 5,850 = $3,217.5

Therefore the sales person is entitled to $3,217.5

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Answer:

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we know that

                      weight                     return                     return from risky port

X                     60 %                         14 %                       8.4 %

Y                     40 %                          10 %                       4%

total                                                                                 12.4 %

so here

return from risky portfolio is = 12.4 %

and

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amount invest in security x = $243

and

amount invested in security Y = $405 × 60%

amount invested in security Y = $162

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