Question

In: Finance

bond prices par value,    coupon r, Year TM, Yield TM, Price $1,000.000.          5%          20.        &nbsp

bond prices

par value,    coupon r, Year TM, Yield TM, Price
$1,000.000.          5%          20.            5%         ?
$1,000.000.          9%          30.            6%         ?
$5,000.000.          11%        25.            8%         ?
$5,000.000.           6%          5.             12%        ?

find the price for the bond in the following table:

Solutions

Expert Solution

1

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =20
Bond Price =∑ [(5*1000/100)/(1 + 5/100)^k]     +   1000/(1 + 5/100)^20
                   k=1
Bond Price = 1000

2

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =30
Bond Price =∑ [(9*1000/100)/(1 + 6/100)^k]     +   1000/(1 + 6/100)^30
                   k=1
Bond Price = 1412.94

3

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =25
Bond Price =∑ [(11*5000/100)/(1 + 8/100)^k]     +   5000/(1 + 8/100)^25
                   k=1
Bond Price = 6601.22

4

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =5
Bond Price =∑ [(6*5000/100)/(1 + 12/100)^k]     +   5000/(1 + 12/100)^5
                   k=1
Bond Price = 3918.57

Related Solutions

You purchase a 20-year, $1,000 par value 6% coupon bond with annual payments with a yield...
You purchase a 20-year, $1,000 par value 6% coupon bond with annual payments with a yield to maturity of 8%. 1 year later after receiving a coupon payment, the yield to maturity has decreased to 7% and you sell the bond. What is your total rate of return on the investment over the year?
A 20-year bond has a current price of $800, a par-value of $1000, a coupon rate...
A 20-year bond has a current price of $800, a par-value of $1000, a coupon rate of 8% and pays quarterly. This bond is callable in 8 years. What is the current YTC of this bond?
bond prices. price the bonds from the following table with semiannually coupon payments. par value. coupon...
bond prices. price the bonds from the following table with semiannually coupon payments. par value. coupon rate. YearTM. YieldTM.   price $5,000.00.         8%               5.                8%          ? $1,000.00.         5%               10.             11%         ? $1,000.00.        11%              20.              9%          ? $5,000.00.          6%               5.                7%         ?
Bond prices. Price the bonds from the following table with annual coupon payments. Par Value Coupon...
Bond prices. Price the bonds from the following table with annual coupon payments. Par Value Coupon Rate Years to Maturity Yield to Maturity Price ​$1,000.00 6​% 25 10​% ​? ​$1,000.00 8​% 30 12% ​? ​$5,000.00 12​% 15 11​% ​? ​$1,000.00 7​% 5 6% ​? a. Find the price for the bond in the following​ table: ​(Round to the nearest​ cent.) Par Value Coupon Rate Years to Maturity Yield to Maturity Price ​$1,000.00 6​% 25 10​% ​$_______ b. Find the price...
A 7% coupon bond has a par value of $1,000 and a yield-to-maturity of 5%. You...
A 7% coupon bond has a par value of $1,000 and a yield-to-maturity of 5%. You purchase the bond when it has exactly 7 years remaining until maturity. You hold the bond for 6 months, collect the coupon payment, and then sell the bond immediately. If the bond's yield-to-maturity is 9% when you sell it, what is your percentage return over this 6-month holding period? Enter your answer as a decimal and show 4 decimal places. For example, if your...
You find a zero coupon bond with a par value of $10,000 and 20 years to maturity. The yield to maturity on this bond is...
You find a zero coupon bond with a par value of $10,000 and 20 years to maturity. The yield to maturity on this bond is 4.2 percent. Assume semiannual compounding periods. What is the price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Par Value Coupon Rate Years to Maturity Yield to Maturity Price Coupon Frequency $5,000.00 ? 5...
Par Value Coupon Rate Years to Maturity Yield to Maturity Price Coupon Frequency $5,000.00 ? 5 10% $4,620.92 annual $1,000.00 ? 15 5% $1,000.00 semiannual $1,000.00 ? 5 11% $923.34 monthly $1,000.00 ? 20 12% $924.50 quarterly Make sure to round all intermediate calculations to at least six decimal places.
Last year, a company issued a 10-year annual coupon bond at par value with a yield...
Last year, a company issued a 10-year annual coupon bond at par value with a yield to maturity of 10.20%. The current yield to maturity has increased to 10.50%. Investors anticipate another increase in yield to maturity over the next 12 months to 10.80%. If the investors forecast accurately, what will be the rate of return on an investment in this bond over the next year? (Do not round intermediate calculations. Enter your final answer as a percent rounded to...
What is the price of a? zero-coupon ($1,000 par? value) bond that matures in 20 years...
What is the price of a? zero-coupon ($1,000 par? value) bond that matures in 20 years has a promised yield of 12.0?%? The bonds price is ____? (round to the nearest cent)
Find the promised yield to maturity for a 9% coupon, $1,000 par 20 year bond selling...
Find the promised yield to maturity for a 9% coupon, $1,000 par 20 year bond selling at $920.56. The bond makes semiannual coupon payments. a)9.44%   b)9.92% c)9.99%   d)10.14% Yield to Call Find the yield to call for a 8% coupon, $1,000 par 15 year bond selling at $1045.50 if the bond is callable in 10 years at a call price of $1,080. The bond makes semiannual coupon payments. a) 6.88% b) 7.13% c)6.73% d)7.87%
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT