Question

7. 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 $1,000,000 par value, semiannual coupon US Treasury note with five years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $698,494.97 $593,720.72 $838,193.96 $440,051.83 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: Assuming that interest rates remain constant, the T-note’s price is expected to .

Answer 1

A = $698,494.97 is the right answer.

And Assuming that interest rates remain constant, the T-note’s price is expected to Increase.

Step-by-step explanation:

A. $698,494.97

B. $593,720.72

C. $838,193.96

D. $440,051.83

Solution:

First we need to see which among the four options is the correct value.

For that we need to find the rate:

Rate = Yield to Maturity/2

Yield to Maturity = 11%

So,

Rate = 11/2

Rate = 5.5%

Now, we need to find the Nper ( Number of periods for the loan)

Nper = 5 x 2 = 10 years.

Nper = 10 years

Now, we need to find PMT which is a financial function used to calculate the amount to be paid for the loan based on constant payments and interest.

PMT = (3%/2) x par value

PMT = (3%/2)x 1,000,000

PMT = 15000

Now, For future value, we have par value.

So,

Par Value = Future Value = FV = 1,000,000

Now, we have to find the PV = Present Value or the price of the bond.

For this we need to use PV function on excel.

Formula:

Price = - PV(Rate, Nper, PMT, FV)

Plugging the values in Excel like this and we get:

Price = -PV (5.5%,10,15000,1000000)

Price = $698,494.97

Hence, A = $698,494.97 is the right answer.

And Assuming that interest rates remain constant, the T-note’s price is expected to Increase.