Question

Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly.

Assume that a $4,000,000 par value, semiannual coupon U.S. Treasury note with three years to maturity (YTM) has a coupon rate of 3%. The yield to maturity of the bond is 7.60%. Using this information and ignoring the other costs involved, the value of the Treasury note s $2 9 S,38230 ▼ Based on your calculations and understanding of semiannual coupon bonds, complete the following statements Assuming that interest rates remain constant over the life of the note its price should
The T-note described is currently selling at a discount ▼ be expected to formula is assumed to have a value of ▼ as the T-note approaches maturity , when valuing a semiannual coupon bond, the time period (N) in the present value periods ー Grade It Now Save & Continue Continue without saving

Answer 1

market value of treasury notes

PV of face value = $4,000,000 / (1 + 3.8%)⁶ = $3,197,981

PV of coupon payments = $120,000 x 5.27644 = $633,173

market value = $3,831,154

the T-note is being sold at a discount since the YTM is higher than the coupon rate. As the bond approaches maturity, its market value should increase.