Bank of America issues a MBS based on a mortgage pool with the following terms: the mortgage pool face value, $10,000,000; the mortgage interest rate, 5%; the mortgage maturity, 4 years. Suppose the MBS has only one class of security, i. e., this is the basic MBS discussed during the class. The MBS has a 4 year maturity. What is the price of this MBS if the market interest rate is 4.5%? Assume annual compounding is used and the annual prepayment rate is 10%. Also, assume prepayment is paid based on the beginning balance of the mortgage pool each year. Finally, there is a 0.25% servicing fee each year based on the beginning balance of the mortgage pool.

300pi

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

actually your concept is wrong

step-by-step explanation:

150% of x =300

150x=300×100

x=(300×100)÷150

x=200