Question

Jonathan has a debt of $3000 that needs to be repaid with 3 annual equal principal...

Jonathan has a debt of $3000 that needs to be repaid with 3 annual equal principal payments with interest on the outstanding balance. The debt has an annual effective interest rate of 8%. In order to match his payment obligations exactly, Jonathan decides to purchase the following zero coupon bonds:

Time to Maturity Par Value   
1 year $1,000
2 years $800
3 years $900

Calculate the number of units of the 3-year bond Jonathan should buy, assuming fractional purchase is possible

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