Suppose the U.S. Treasury offers to sell you a bond for $3,000. No payments will be made until the bond matures 10 years from now, at which time it will be redeemed for $4,000. What interest rate would you earn if you bought this bond at the offer price?

Respuesta :

Answer:

The bond will yield a return of 2.92%

Explanation:

we solve for rate considering the formula for the future value of a lump sum:

Value 3,000

time = 10 years

future value 4,000

[tex]Principal \: (1+ r)^{time} = Amount[/tex]

[tex]3000 \: (1+ r)^{10} = 4,000[/tex]

[tex]r = \sqrt[10]{4,000/3,000} - 1[/tex]

r = 0.029186009

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