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Ad libitum [116K]
3 years ago
6

A company is trying to estimate the cost of debt for a new project. For their estimate, they will find the yield to maturity on

existing company bonds. They have one outstanding bond issue at the moment that will mature in 15.00 years. The bond pays an annual coupon of 9.00%, with a face value of $1,000. The bond currently trades at 92.00% of face value. What is the yield to maturity on the existing debt
Business
1 answer:
Semmy [17]3 years ago
8 0

Answer:

Yield to maturity =9.9%

Explanation:

The yield to maturity is the return on debt expressed in percentage.  It can be used to worked as follows using the formula below

YTM =( C + F-P/n) ÷ ( 1/2× (F+P))

C- annual coupon,  

F- face value ,

P- current price,  

n- number of years to maturity

YM - Yield to maturity

C- 9%× 1000 =90 , P- 92×1000= 920,  F- 1000

AYM = 90 + (1000-920)/15 ÷ 1/2× (1000+920)

= 95.33 ÷ 960

Yield to maturity =9.9%

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3 years ago
The 5.3 percent bond of Dominic Cyle Parts has a face value of $1,000, a maturity of 12 years, semiannual interest payments, and
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Answer:

$936.17

Explanation:

The current market price of the bond = present value of all coupon received + present value of face value on maturity date

The discount rate in all calculation is YTM (6.12%), and its semiannual rate is 3.06%

Coupon to received semiannual = 5.3%/2*$1000= $26.5

We can either calculate PV manually or use formula PV in excel to calculate present value:

<u>Manually:</u>

PV of  all coupon received semiannual = 26.5/(1+3.06)^1 + 26.5/(1+3.06)^2....+ 26.5/(1+3.06)^24 = $445.9

PV of of face value on maturity date = 1000/(1+6.12%)^12 = $490.27

<u>In excel:</u>

PV of  all coupon received semiannual =  PV(3.06%,24,-$26.5) = $445.9

PV of of face value on maturity date = PV(6.12%,12,-$1000) = 1000/(1+6.12%)^12 = $490.27

The current market price of the bond  = $445.9 + $490.27 = $936.17

Please excel calculation attached

Download xlsx
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