Question

John needs $1,000,000 to retire in five years. There is an annual zero-coupon bond that will...

John needs $1,000,000 to retire in five years. There is an annual zero-coupon bond that will mature in 8 years, that has a YTM of 11.75%.


If John buys the bond and the YTM moves to 9.75% when he sells the bond in 5 years, how much money will John have for retirement

If John buys the bond and the YTM moves to 13.75% when he sells the bond in 5 years, how much money will John have for retirement?

Homework Answers

Answer #1

Jhon plans to purchase a zero coupon bond. These bonds do not have any coupon payment , instead they are Issued at Discount and Redeemed at par.

So the FV is 1,000,000

Time is 5 yrs.

Rate YTM = 11.75%.

So he will pay

PV = FV/(1+r)^n

Or

1,000,000/(1.1175)^5 = $ 573,802.37 for the bond.

Now in Case 1,

YTM goes to 9.75 he will be receiving

FV = 573802.37(1+0.0975)^5 = $ 913,660.78

In case 2

Ytm is 13.75

So jhon will get

FV = 573802.37(1+0.1375)^5= 1092746.36

Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a zero-coupon bond with face value $1,000 and maturity of five years sells for 946.22. Its...
a zero-coupon bond with face value $1,000 and maturity of five years sells for 946.22. Its YTM is
MBA Finance Question: 1. A zero-coupon bond is a security that pays no interest, and is...
MBA Finance Question: 1. A zero-coupon bond is a security that pays no interest, and is therefore bought at a substantial discount from its face value. If the interest rate is 9% with annual compounding how much would you pay today for a zero-coupon bond with a face value of $1,700 that matures in 4 years? 2. A financial institution offers a "double-your-money" savings account in which you will have $2 in 6 years for every dollar you invest today....
Peter buys ten zero-coupon bonds with a maturity of 30 years for a total of $4,119.87....
Peter buys ten zero-coupon bonds with a maturity of 30 years for a total of $4,119.87. Assume he buys the bonds on June 30th. How much interest will he have to report for tax purposes for the first year? Assume annual compounding for simplicity. a. $0 because it is a zero-coupon bond. b. $61.80. c. $123.60. d. $300.00.
1 - You want to retire in 35 years with $1,000,000 saved. How much is needed...
1 - You want to retire in 35 years with $1,000,000 saved. How much is needed to save if your investment accrues 9.5% annually? 2 - $1,000 10-year bond that pays $95 annually. What is the YTM if the PV is $1,050?
Assume that the price of a $1,000 zero coupon bond with five years to maturity is...
Assume that the price of a $1,000 zero coupon bond with five years to maturity is $567 when the required rate of return is 12 percent. If the required rate of return suddenly changes to 15 percent, what is the price elasticity of the bond?
Suppose you are 30 years old and want to retire at the age of age 70...
Suppose you are 30 years old and want to retire at the age of age 70 and expect to live another 20 years. On the day you retire, you want to have $1,000,000 in your retirement savings account. i. If you invest monthly starting one month from today and your investment earns 6.0 percent per year, How much money do you need to invest every month until you retire? ii. Now you’re retired with $1,000,000 and you have 20 more...
Three years ago, Flint Corp. issued a $1,000 par value, 11 percent (annual payment) coupon bond....
Three years ago, Flint Corp. issued a $1,000 par value, 11 percent (annual payment) coupon bond. At the time the bond was issued it had 30 years to maturity. Currently this bond is selling for $948.53 in the bond market. Flint Corp. is now planning to issue a $1,000 par value bond with a coupon rate of 9 percent (semi-annual payments) that will mature 20 years from today. Assuming that the riskiness of the new bond is the same as...
MBA Finance: 1. A zero-coupon bond is a security that pays no interest, and is therefore...
MBA Finance: 1. A zero-coupon bond is a security that pays no interest, and is therefore bought at a substantial discount from its face value. If stated interest rates are 5% annually (with monthly compounding) how much would you pay today for a zero-coupon bond with a face value of $1,900 that matures in 8 years? Please round your answer to the nearest hundredth. 2. A financial institution offers a "double-your-money" savings account in which you will have $2 in...
Consider an annual coupon bond with a face value of $100​, 12 years to​ maturity, and...
Consider an annual coupon bond with a face value of $100​, 12 years to​ maturity, and a price of $76. The coupon rate on the bond is 6​%. If you can reinvest coupons at a rate of 5​% per​ annum, then how much money do you have if you hold the bond to maturity?
On the issue date, you bought a 30-year maturity, 8% semi-annual coupon bond. The bond then...
On the issue date, you bought a 30-year maturity, 8% semi-annual coupon bond. The bond then sold at YTM of 7%. Now, five years later, the similar bond sells at YTM of 6%. If you hold the bond now, what is your realized rate of return for the 5-year holding period? (do not solve using excel)