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# Value of the Bonds and the Relative Sensitivity of Bond

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Looking for the info on following quote sheets for fixed income (treasury notes etc). to be filled in completely.

Also, some quick bond calculations on sheet 2.

thanks

https://brainmass.com/economics/bonds/value-bonds-relative-sensitivity-bond-370605

#### Solution Summary

This post shows how to calculate the Value of the Bonds and discusses about the relative sensitivity of bond prices to changes in interest rate

\$2.19

## Time Value of Money

Note: Unless otherwise stated, assume that interest is calculated on an annual basis

1) Ian invests \$1000 today in a 3 year CD paying 3.75% annually. He receives the full amount of principal and accrued interest in 3 years. How much will he receive in 2 years?

N i PV PMT FV

2) How much would Sylvia have to invest in a CD today to receive \$1225 in 4 years time if the interest rate payable on the CD is 2.10%

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3) A zero coupon bond is sold at a discount and pays no interest during its life. John invests \$900 in zero coupon bond which promises to pay \$1100 in 5 years time. What is the rate of return on the investment?

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4) Maggie has the opportunity to invest \$1000 in a 5 year CD. She has the option to receive a 4.65% return, compounded quarterly, 4.75% compounded semi-annually, or 4.85% compounded annually. What option will give her the highest total return and how much will she receive in 5 years time?

Quarterly
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Semi-annually
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Annually
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5) Chris invests \$1000 in a 10 year ordinary annuity when prevailing interest rates are 3.5%. How much will he receive annually?

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6) Using the calculator and the Rule of 72s, how long will it take a \$4000 investment to double if the interest rate is 7.3%?

Calculator Method
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Rule of 72s

7a) Helena purchases a condo and obtains a \$250,000 fully amortizing level payment 15 year mortgage bearing an (annual) interest rate of 6.75%. How much will her monthly blended principal and interest payment be?

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7b) For months 1,2 and 3 of the mortgage, determine how much of the total payment is principal and how much is interest and construct an amortization table

Month Beginning
Principal Payment Interest Amortization of Principal Ending Principal
1 250000
2
3

8) Johnson Corp is considering a capex project that will require an investment of \$150,000. It will have a 5 year lifetime and will return the following amounts:

Year 1 \$20,000
Year 2 \$25,000
Year 3 \$80,000
Year 4 \$70,000
Year 5 \$30,000

8a) If at the end of year 5 the project has no salvage value, what is the company's expected annual rate of return (IRR)?

8b) If at the end of year 5 the project has a salvage value of \$20,000, what is the company's expected annual rate of return? [Hint: The salvage value will add to the cash flow that Johnson receives in year 5]

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