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Alona [7]
3 years ago
6

A 20-year maturity bond with face value of $1,000 makes annual coupon payments and has a coupon rate of 9.40%. (Do not round int

ermediate calculations. Enter your answers as a percent rounded to 3 decimal places.)
a. What is the bondâs yield to maturity if the bond is selling for $1,040?
Yield to maturity %
b. What is the bondâs yield to maturity if the bond is selling for $1,000?
Yield to maturity %
c. What is the bondâs yield to maturity if the bond is selling for $1,240?
Yield to maturity %
Business
1 answer:
pentagon [3]3 years ago
4 0

Answer and Explanation:

The computation of the yield to maturity is shown below:

a. When the bond sale price is $1,040

Given that

FV = $1,000

PV = $1,040

PMT = $1,000 × 9.40% = $94

NPER = 20

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYPE)

After applying the above formula, the yield to maturity is 8.9630%

b. When the bond sale price is $1,000

Given that

FV = $1,000

PV = $1,000

PMT = $1,000 × 9.40% = $94

NPER = 20

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYPE)

After applying the above formula, the yield to maturity is 9.4%

c. When the bond sale price is $1,240

Given that

FV = $1,000

PV = $1,240

PMT = $1,000 × 9.40% = $94

NPER = 20

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYPE)

After applying the above formula, the yield to maturity is 7.1144%

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An investor purchases a 12-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of in
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Answer:

Value of the bond = $862.013

Explanation:

The value of the bond is the present value of the future cash receipts expected from the bond. The value is equal to present values of interest payment and the redemption value (RV).

Value of Bond = PV of interest + PV of RV

The value of the bond can be worked out as follows:

Step 1

<em>Calculate the PV of Interest payment </em>

Present value of the interest payment

PV = Interest payment × (1- (1+r)^(-n))/r

Interest payment = $40

PV = 40 × (1 - (1.05)^(-12×2)/0.05)

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Step 2

<em>PV of redemption Value </em>

PV of RV = RV × (1+r)^(-n)

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Step 3

<em>Calculate Value of the bond  </em>

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