英语翻译
3.A bank has two,3-year commercial loans with a present value of $70 million.The first is a $30 million loan that requires a single payment of $37.8 million in 3 years,with no other payments until then.The second is for $40 million.It requires an annual interest payment of $3.6 million.The principal of $40 million is due in 3 years,the general level of interest rates is 8%.
a.What is the duration of the bank’s commercial loan portfolio?
b.What will happen to the value of its portfolio if the general level of interest rates increased from 8% to 8.5%?
4.You own a $1,000-par zero-coupon bond that has 5 years of remaining maturity.You plan on selling the bond in one year,and believe that the required yield next year will have the following probability distribution:
Probability Required Yield
0.1 6.60%
0.2 6.75%
0.4 7.00%
0.2 7.20%
0.1 7.45%
a.What is your expected price when you sell the bond?
b.What is the standard deviation?