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Question:

Given only this information, the price of a 2-year, semiannual-pay, 10% coupon bond with a face value of $1,000 is closest to:

A
$1,046.77.

Explaination

This question can be answered without calculations. Since the spot rates are less than the coupon rate, the price must be greater than par value, so C is the only possible correct choice.

This is a four-period bond with $50 cash flows each period. Divide each spot rate by two to get the semiannual rate.

PV1: N = 1; I/Y = 3.00; FV= $50; CPT->PV= $48.54

PV2: N = 2; I/Y = 3.25; FV= $50; CPT->PV= $46.90

PV3: N = 3; I/Y = 3.50; FV= $50; CPT->PV=$45.10

PV4: N = 4; I/Y = 3.75; FV= $1,050; CPT->PV = $906.23

Or $4346_w402_h44.png$

Sum to get $1,046.77.

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