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Weseethefollowingyieldcurvefordiscount,orzero-coupon,bonds. Maturity Yield to Maturity 1 year 6% 2 years 7% 3 years 8% (a)Ifthefairpricefora4-yearannuitypaying$100peryearis$334.57,whatistheyieldtomaturityonafouryearzero-couponbond? (b)Supposethatyouwishtolockinaloaninyear2toberepaidinyear3(cashreceivedinyear2andinterestplusprincipalreturnedinyear3).Theamountoftheloanis$20Million.Whatpatternofdiscountbondholdingscouldyouusetoconstructthisloannow?Thatis,youwillbebuyingandsellingdifferentbonds.Howmanybondsofwhatmaturitywillyoubuy?Howmanybondsofwhatmaturitywillyousell? (c)Whatistheimpliedforwardratebetweenyear2andyear3?

  1. Weseethefollowingyieldcurvefordiscount,orzero-coupon,bonds.

Maturity

Yield to Maturity

1 year

6%

2 years

7%

3 years

8%

  1. (a)Ifthefairpricefora4-yearannuitypaying$100peryearis$334.57,whatistheyieldtomaturityonafouryearzero-couponbond?
  2. (b)Supposethatyouwishtolockinaloaninyear2toberepaidinyear3(cashreceivedinyear2andinterestplusprincipalreturnedinyear3).Theamountoftheloanis$20Million.Whatpatternofdiscountbondholdingscouldyouusetoconstructthisloannow?Thatis,youwillbebuyingandsellingdifferentbonds.Howmanybondsofwhatmaturitywillyoubuy?Howmanybondsofwhatmaturitywillyousell?
  3. (c)Whatistheimpliedforwardratebetweenyear2andyear3?

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