Question

In: Finance

A 5 year bond has a YTM of 7% and a coupon rate of 8%. Assuming...

A 5 year bond has a YTM of 7% and a coupon rate of 8%. Assuming a par value of $1,000 and semi-annual coupon payments, what should this bond be trading for?

Solutions

Expert Solution

Statement showing Price or Intrinsic Value                 ( since there is semi annual payment so coupon payment is 1000*0.08/2=$40, yield is 7/2=3.5% and number of years= 5*2=10)
Particulars Time PVf @3.5% Amount PV
Cash Flows (Interest)                          1.00             0.9662          40.00                 38.65
Cash Flows (Interest)                          2.00             0.9335          40.00                 37.34
Cash Flows (Interest)                          3.00             0.9019          40.00                 36.08
Cash Flows (Interest)                          4.00             0.8714          40.00                 34.86
Cash Flows (Interest)                          5.00             0.8420          40.00                 33.68
Cash Flows (Interest)                          6.00             0.8135          40.00                 32.54
Cash Flows (Interest)                          7.00             0.7860          40.00                 31.44
Cash Flows (Interest)                          8.00             0.7594          40.00                 30.38
Cash Flows (Interest)                          9.00             0.7337          40.00                 29.35
Cash Flows (Interest)                        10.00             0.7089          40.00                 28.38
Cash flows (Maturity Amount)                        10.00             0.7089    1,000.00               708.90
Intrinsic Value of Bond or Current Bond Price           1,041.58
Price of bond is 1041.58

Related Solutions

Suppose the YTM is 5% for a 20-year $1000 bond with a 7% coupon rate and...
Suppose the YTM is 5% for a 20-year $1000 bond with a 7% coupon rate and annual coupon payments. Its bond price is $____. Instruction: Type ONLY your numerical answer in the unit of dollars, NO $ sign, NO comma, and round to one decimal place. E.g., if your answer is $7,001.56, should type ONLY the number 7001.6, NEITHER 7,001.6, $7001.6, $7,001.6, NOR 7002. Otherwise, Blackboard will treat it as a wrong answer.
An 8% 15 year bond has a ytm of 7%. If the ytm falls by 1%,...
An 8% 15 year bond has a ytm of 7%. If the ytm falls by 1%, what will the new price be? What will it be approximately? Is duration adequate to describe this bond?
A bond has YTM=5% and coupon rate is 3%. This is a A. discount bond B....
A bond has YTM=5% and coupon rate is 3%. This is a A. discount bond B. par bond C. premium bond
A 12-year semiannual bond with a coupon rate of 6% has a face value of $1,000 and a YTM of 7%. The price of the bond is
Question 1  A 12-year semiannual bond with a coupon rate of 6% has a face value of $1,000 and a YTM of 7%. The price of the bond isQuestion 1 options:912.85914.25916.36919.71920.57Question 2  A 4-year discount bond with a face value of $1,000 sells at $915. The YTM of the bond isQuestion 2 options:2.24%2.52%2.83%3.21%3.48%Question 3 A 7-year semiannual bond with a face value of $1,000 and a coupon rate of 8% sells at $974. The YTM of the bond isQuestion 3 options:4.3%5.5%6.5%7.2%8.5%Question 4  Consider a...
Using a two year semiannual 8% coupon bond, 1000 par, with a 5% YTM. For this...
Using a two year semiannual 8% coupon bond, 1000 par, with a 5% YTM. For this question find all answers to at least the 6th decimal place. Calculate the price of this bond Calculate duration and modified duration Price the same bond with a YTM of 6% and 10% as you did in the first part
Consider a 5-year, $1000 bond, with 7% coupon rate making semiannual coupon payment. The yield curve is flat at YTM=6%.
Consider a 5-year, $1000 bond, with 7% coupon rate making semiannual coupon payment. The yield curve is flat at YTM=6%. 1. What is the price of the bond? 2. What is the duration of the bond? 3. Use the duration rule to calculate the change in price when interest rates go up by 3% (300 bps). Use the following information to answer three question
If you have a four year bond with a coupon of 7% and a YTM of...
If you have a four year bond with a coupon of 7% and a YTM of 5% verify that investing in this bond for the period of the bond’s Macauly duration results in no change to the overall future value of your cash flows if interest rates fall by 1%. Show all calculations.
Bond Dave has a 7 percent coupon rate, makes semiannual payments, a 7 percent YTM, and...
Bond Dave has a 7 percent coupon rate, makes semiannual payments, a 7 percent YTM, and 26 years to maturity. If interest rates suddenly rise by 5 percent, what is the percentage change in the price of Bond Dave? 4 decimals (e.g. 0.0123).
The YTM (yield to maturity) on a one-year zero-coupon bond is 5% and the YTM on...
The YTM (yield to maturity) on a one-year zero-coupon bond is 5% and the YTM on a two-year zero-coupon bond is 6%. The treasury is planning to issue a 2-year, annual coupon bond with a coupon rate of 7% and a face value of $1,000. a) Compute the value of the two-year coupon bond. b) Compute the yield to maturity of the two-year coupon bond. c) If the expectations hypothesis is correct, what is the market expectation of the price...
Bond Dave has a 8 percent coupon rate, makes semiannual payments, a 8 percent YTM, and...
Bond Dave has a 8 percent coupon rate, makes semiannual payments, a 8 percent YTM, and 27 years to maturity. If interest rates suddenly rise by 4 percent, what is the percentage change in the price of Bond Dave? Enter the answer with 4 decimals (e.g. 0.0123).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT