A mortgage loan for $10\%$ is at a $75\%$ loan$-$to$-$value ratio. The interest on the original balance for the first year is $$65,900.$ What is the value of the property securing the loan? Round to the nearest dollar.

A mortgage loan for $6\%$ is at an $85\%$ loan$-$to$-$value ratio. The interest on the original balance for the first year is $$15,600.$ What is the value of the property securing the loan? Round to the nearest dollar.

A mortgage loan for $8\%$ yields interest on the original balance for the first year in the amount of $$30,000.$ The value of the property securing the loan is $$468,750?$ What is the loan$-$to$-$value ratio?

A mortgage loan for $7\%$ yields interest on the original balance for the first year in the amount of $$20,000.$ The value of the property securing the loan is $$340,000?$ What is the loan$-$to$-$value ratio?

A homebuyer may obtain a $$50,000$ mortgage loan, provided the buyer pays a discount of five points. What is the amount of the discount?

Topic $4$: Sales Commission

$21.$ Broker sold a house for $$65,000.$ The total commission came to $$4,000.$ What was broker's commission rate?

$22.$ An agent received a $3\%$ commission on $25$ percent of her total sales. On the remainder, she received a $6\%$ commission. What was the average commission rate for all of her sales?

Real Estate Finance