In: Finance
Write out the formulas, with the numbers filled in, to solve the following problems. For (a) and (b), the market interest rate is 6.20%. You do not have to do the actual calculations for (a) through (c), but (d) requires a calculation. (a) Find the price of a 10-year bond (par = $1,000) with an annual coupon of 5.80%. Is this bond at a premium or discount? Explain briefly. (6 points). (b) Find the price of a 10-year bond (par = $1,000) with a coupon of 6.80%, paid monthly. (4 points). (c) Find the yield to maturity of a 10-year bond (par = $1,000) with an annual coupon of 6.80% and a price of $956.32. (4 points). (d) Calculate the effective annual return of the bond in (b).
Ans
a. Discount - price $970.8664
b.premium - $ 1044.6221
c. Ytm 7.4%
d. 6.5096%
note pvaf and pvif is calculated using financial calculator .
Pvaf -Put values n ,I/y and -1 in Pmt and cpt PV
Pvif - put values n,I/y and -1 in fv and cpt PV .