Question

Assume that a $1,000,000 par value, semiannual coupon U.S. Treasury note with four years to maturity (YTM) has a coupon rate of 6%. The yield to maturity of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note:_________.

a.) $841,635.85
b.) $715,390.47
c.) $530,230.59
d.) $1,009,963.02

Answer 1

a.) $841,635.85

Step-by-step explanation:

The value of the Treasury note is the present value of its future cash flows, its semiannual coupon payments and the face value receivable by the investors in the T-note at maturity.

Semiannual coupon=face value*coupon rate*6/12

face value=$1,000,000

coupon rate=6%

semiannual coupon=$1,000,000*6%*6/12

semiannual coupon=$30,000( there would 8 semiannual coupons in 4 years)

The present value of the cash flows can be determined using a financial calculator bearing in mind that the calculator would be set to its default end mode before making the following inputs:

N=8(semiannual coupons)

PMT=30000(amount of each semiannual coupon)

I/Y=5.50%(semiannual yield to maturity=11.00%*6/12)

FV=1000000(the face value of T-note)

CPT

PV=$841,635.85