Your cousin is entering medical school next year and asks you for financial help. He needs $$75,000$ each year for the first two years. After that, he is in residency for two years and will be able to pay you back $$15,000$ each year. Then he graduates and becomes a fully qualified doctor, and will be able to pay you $$50,000$ each year. He promises to pay you $$50,000$ for $5$ years after he graduates. What's the NPV for you today if you help him out? Assume that the interest rate is $5\%$ and that there is no risk.

Multiple Choice

$$63,935,88$

$$67,132\mathrm{.}67$

$489\mathrm{.}3$