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Homework answers / question archive / Priscilla will make a 2-year investment using two consecutive 1-year $500,000 zero coupon bonds

Priscilla will make a 2-year investment using two consecutive 1-year $500,000 zero coupon bonds

Finance

Priscilla will make a 2-year investment using two consecutive 1-year $500,000 zero coupon bonds. The maturity proceeds of the first zero coupon bond will be rolled over into the second zero coupon bond. The purchase yields for the two 1-year zero coupon bonds will be 2.27% and 3.74% p.a., respectively (annual effective rates). Note that any surplus funds after one year can be invested for one year at a rate of 3.86% p.a.

a) Calculate the price of second zero coupon bond. Round your answer to four decimal places.

 

a.

481974.1662

b.

481417.2925

c.

481970.3007

d.

488901.9263

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Computation of Price of Second Zero Coupon Bond using PV Function in Excel:

=-pv(rate,nper,pmt,fv)

Here,

PV = Price of Second Zero Coupon Bond = ?

Rate = 3.74%

Nper = 1

PMT = 0

FV = $500,000

Substituting the values in formula:

=-pv(3.74%,1,0,500000)

PV or Price of Second Zero Coupon Bond = 481,974.1662

So, the correct option is A "481974.1662".