Treasury spot interest rates are as follows: Maturity (years) 1 2 3 4 Spot rate (EAR) 1.4% 2.8% 3.6% 4.5% What is the price of a risk-free zero-coupon bond with 3 years to maturity and a face value of $1,000 (in $)? (answer,0+ decimals)

$868

Explanation:

Given the following :

Maturity (years) - - - - - - 1 - - 2 - - - 3 - - - 4

Spot rate (EAR) - - - - 1.4% - 2.8% - 3.6% - - 4.5%

What is the price of a risk-free zero-coupon bond with 3 years to maturity and a face value of $1,000 (in $)?

Face value / ( 1 + spot rate)^p+1

Where P = year

=1000/(1+3.6%)^4

1000 / ( 1 + 0.036)^4

1000/(1.036)^4

1000/1.151964303616

=$868.08245

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rational decision making is a multi-step process for making choices between alternatives. the process of rational decision making favors logic, objectivity, and analysis over subjectivity and insight. the word “rational” in this context does not mean sane or clear-headed as it does in the colloquial sense.

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