Dan got a $10$ year Fixed Rate Mortgage for $$100,000.$

The loan has constant annual payments and an annual interest rate of $5\%.$

There are no closing costs.

Suppose Dan prepays the loan in year $4.$

Compute the IRR for Dan's loan in the following cases:

a$.$ Fully Amortizing

b$.$ Partially Amortizing where the final balance is B$\_10=$$$50,000$

c$.$ Interest Only

d$.$ Negatively Amortizing where the payment is PMT$=$$$1,000$

e$.$ Negatively Amortizing where the payment is PMT$=$$$0$