Question

Suppose a​ ten-year, $ 1 comma 000 bond with an 8.6 % coupon rate and semiannual coupons is trading for $ 1 comma 035.77. a. What is the​ bond's yield to maturity​ (expressed as an APR with semiannual​ compounding)? b. If the​ bond's yield to maturity changes to 9.9 % ​APR, what will be the​ bond's price? a. What is the​ bond's yield to maturity​ (expressed as an APR with semiannual​ compounding)? The​ bond's yield to maturity is nothing​%. ​ (Round to two decimal​ places.)

Answer 1

Answer:

a. 8.30 %

b. $918.65

c. 16,60%

Explanation:

a. What is the​ bond's yield to maturity

Using a Financial Calculator Enter the following respective values and find i.

N = 10×2 = 20

Pmt = $1,000 × 8.6 % / 2  = $43

P/yr = 2

Pv = $ 1,035.77

Fv = $1,000

YTM / i = ?

i =  8.30%

Therefore yield to maturity is  8.30 %

b. What will be the​ bond's price

Using a Financial Calculator Enter the following respective values and find Pv .

N = 10×2 = 20

Pmt = $1,000 × 8.6 % / 2  = $43

P/yr = 2

Fv = $1,000

YTM / i = 9.90%

Pv  =  ?

Pv = $ 918.65

Therefore the​ bond's price is $918.65

c. What is the​ bond's yield to maturity​

bond's yield to maturity​ - expressed as an APR = 8.30 % × 2

                                                                               = 16,60%