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11111nata11111 [884]
3 years ago
9

McConnell Corporation has bonds on the market with 14.5 years to maturity, a YTM of 5.3 percent, a par value of $1,000, and a cu

rrent price of $1,045. The bonds make semiannual payments. What must the coupon rate be on these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Business
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

5.75%

Explanation:

First, find the coupon payment amount . Using a financial calculator, key in the following inputs for this the bond valuation.

<em>Note: Make adjustment on the rate and time since the coupon payments are made semi-annually i.e 2 times a year</em>.

Maturity of the bond ; N = 14.5*2 = 29

Semi-annual rate ; I/Y = (5.3%/2) = 2.65%

Face value ; FV = 1000

Price of the bond or PV = -1045

then compute semiannual coupon payment ;  CPT PMT = $28.743

Annual coupon rate is therefore = $28.743*2 = $57.486

Coupon rate = coupon payment / face value

Coupon rate = $57.486 / 1000

= 0.05749 or 5.75%

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A $ 1 comma 000 bond with a coupon rate of 6.2​% paid semiannually has two years to maturity and a yield to maturity of 6​%. If
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As a result of a fall in interest and YTM, the bond price will increase by $15.04

Explanation:

To calculate the change in price due to fall in interest rate, we must first calculate the price of the bond before and after the fall of interest rates.

To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) = 1000 * 0.062 * 0.5 = $31

Total periods (n)= 2 * 2 = 4

r or YTM = 6% * 1/2 = 3% or 0.03

The formula to calculate the price of the bonds today is attached.

<u />

<u>Before Interest rates Fell</u>

Bond Price = 31 * [( 1 - (1+0.03)^-4) / 0.03]  +  1000 / (1+0.03)^4

Bond Price = $1003.717098 rounded off to $1003.72

<u />

<u />

<u>After Interest Rates Fell</u>

New YTM = 6% - 0.8%   =  5.2% or 0.052

Semi Annual YTM = 0.052 * 0.5  = 0.026

Bond Price = 31 * [( 1 - (1+0.026)^-4) / 0.026]  +  1000 / (1+0.026)^4

Bond Price = $1018.764647 rounded off to $1018.76

Change in Bond Price = 1018.76 - 1003.72   = $15.04

As a result of a fall in interest and YTM, the bond price increased by $15.04

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