Question

You have just purchased a U.S. Treasury bond for $577.25. No payments will be made until the bond matures 5 years from now, at which time it will be redeemed for $1,000. What interest rate will you earn on this bond? O a. 11.62% O b. 14.02% C. 9.22% d. 10.42% O e. 12.82%

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Answer #1

Given details:

Face Value of a security: $1000.00 ---- Redemeed for face value.

Current Market Price: $577.25 ---- You have just purchased a US treasury bond

Tenure: 5 years ---- Bond will mature 5 years from now

It is a case of calculating zero coupon bond interest because as per given question there will not be any payment until bond matures 5 years from now.

To find rate of interest which can be earned on this bond:

Rate of retunrn on bond ---> (Face Value / Current Market Price of Bond) ^ (1 / Maturity Time) - 1

Put all given figures in this formula

(1000.00 / 577.25) ^ (1 / 5) - 1 -----> 11.62%

Hence answer is option "a" i.e. 11.62%

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