Since Zero coupon bond; Macaulay duration =30 years
Modified duration =30/(1+7%) =28 years
This means when yield increase by 1% ; price decreases by 28.037%
New price= 100000*(1-.28) =72000
An investor bought $100,000 worth (roughly $750,000 face valuel) of 30-year zero coupon Treasury STRIPS priced...
An investor bought $100,000 worth (roughly $750,000 face value!) of 30-year zero coupon Treasury STRIPS priced to yield 7%. One month later the yield on the STRIPS had risen to 8%. Use the modified duration approximation to estimate the approximate new market value shown when the investor looked at the next monthly statement. A. $108,000 B. $99,000 C. $92,600 D. $72,000