Suppose that exactly $50\%$ of mortgages will prepay in full after $6$ months $(0\mathrm{.}5$ year$),$ regardless of the level of

interest rates. You may fill in the amortization schedule based on the deterministic prepayment.

What is the value of the mortgage using the deterministic prepayment model?

$$10,330\mathrm{.}37$

$$10,000\mathrm{.}30$

$$10,450\mathrm{.}36$

$$9,990\mathrm{.}45$