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

Finance Jun 22, 2021

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

Expert Solution

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".

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