Please help me for my homework! Be careful when solving problems. I really need the right answers

1 - Your manager knows that you are an expert in calculating the duration of bonds. But he asks you that whether it is possible to calculate the duration of a loan instead. Suppose that the loan has an amount of 100.000 $, a maturity of 3 years, an annual market interest rate of 12%, and semi-annual payments. What can be the approximate duration of such a loan? a) 2,03 years b) 1,67 years c) 1,89 years d) 2,54 years 2- If you are obliged to finance the particular loan in Question 1 by issuing a 100.000 $ of zero-coupon bond that has exactly the same duration with that loan under the same market conditions, what should be the present value of that bond? a) 83.961,93 $ b) 90.752,92 $ c) 71.178,02 $ d) 82.802,23 $