A 3 year, $1000 par value bond pays a $60 coupon annually. The YTM is 5%.

a) What is the bond price?

b) What percentage of the bond price is attributable to the terminal year cash flow?

c) What is the duration?

d) How many years of duration is attributable to the terminal year cash flow?

e) What is modified duration?

f) If interest rates increase 25 basis points, what is the dollar change in bond price forecast by modified duration?

g) Computing the new bond price using the new YTM, what is the actual change in the bond price?

Please write the steps, and how to put into calculator.