# Excel Calculation: bond YTM, current yield, yield to call; chart bond price vs interest rate

See attached file for full problem description.

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A 10-year 12 percent semiannual coupon bond, with a par value of $1,000, may be called in 4

years at a call price of $1,060. The bond sells for $1,100. (Assume that the bond has just been

issued),

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

Basic Input Data:

Years to maturity:

Periods per year:

Periods to maturity:

Coupon rate:

Par value:

Periodic payment:

Current price

Call price:

Years till callable:

Periods till callable:

YTM =

b. What is the bond's current yield?

Current yield =

c. What is the bond's yield to call

YTC =

d. How would the price of the bond be affected by changing interest rates? (Hint: Conduct a sensitivity analysis of

price to changes in the yield to maturity, which is also the going market interest rate for the bond. Assume

that the bond will be called if and only if the going rate of interest falls below the coupon rate. That is an

oversimplification, but assume it anyway for purposes of this problem.)

Hint: you can use PV function to find values under different r's, and then use an IF

statement to determine which value is appropriate:

For example, when r=12%, the bond value today will be $1,000 if not called, and $1,037.64 if called.

Because the bond will be called if and only if r<12%, so the actual value considering call likelihood will be $1,000.

The best way to do the sensitivety analysis as I know is to use Excel's Data Table Command

Value of Bond If:

Not called Called

Rate, r

0%

2%

4%

6%

8%

10%

12%

14%

16%

20%

e. Draw a chart to show the relationship between bond price and interest rate based on data obtained in d.

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https://brainmass.com/business/bond-valuation/excel-calculation-bond-ytm-current-yield-yield-to-call-chart-bond-price-vs-interest-rate-57554

#### Solution Summary

In a very detailed solution in Excel, the problem is completed with narrative for better understanding.

Bonds

A 20-year, 8 % semiannual coupon bond with a par value of $1,000 may be called in 5 years at a call price of $1,040. The bond sells for $1,000. (Assume that the bond has just been issued.) Complete the attached spreadsheet, answering the following:

a) What is the bonds yield to maturity?

b) What is the bond's current yield?

c) What is the bond's capital gain or loss yield?

d) What is the bond's yield to call?