Question
Leave all answers in TWO decimal places. For the boxes in Question 1 through 5, put calculator input numbers in the second row and your
Leave all answers in TWO decimal places.
For the boxes in Question 1 through 5, put calculator input numbers in the second row and your computed answer in the third row.
Question 1 thru 5 cash flow sign conventions: negative PV [assuming we are buying bonds]. Therefore PMT and FV are positive numbers [receiving periodic coupons and receiving face value at maturity].
All bonds have a .Assume that all unless the problem specifically states otherwise.
Some additional notes and guidance at the end of the document.
1) What is the current value of a 10-year bond with a 5% coupon rate if the current market interest rate is4.00%?
N | i | PV | PMT | FV |
? | ? |
| ? | ? |
|
| = ? |
|
|
2) A zero coupon bond is sold at a discount and pays no cash interest during its lifetime. At maturity it pays the face value of the bond. What is the current value of a 20-year zero coupon bond if the current market interest rate is 5.00%?
N | i | PV | PMT | FV |
? | ? |
| ? | ? |
|
| = ? |
|
|
3) What is the current value of a 15-year bond with a coupon rate of 4% (annual) with semi-annual coupon payments if the current market interest rate is 3.0% (annual)? [The coupon frequency is explicitly stated here because we want to compare this PV(bond) to the next question. Everything else being equal, the frequency of coupons DO affect the price of the bond.]
N | i | PV | PMT | FV |
? | ? |
| ? | ? |
|
| = ? |
|
|
4) What is the current value of a 15-year bond with a coupon rate of 4% with quarterly coupon payments if the current market interest rate is 3.0%?
N | i | PV | PMT | FV |
? | ? |
| ? | ? |
|
| = ? |
|
|
5) What is the Yield to Maturity (YTM) and Yield to Call (YTC) for a bond which is currently priced at $1,025 if the bond has a coupon of 6%, matures in 10 years but could be called at a price of $1,050 in 6 years? Spring2 Fall2
YTM:
N | YTM | PV | PMT | FV |
? |
| ? | ? | ? |
| = ? |
|
|
|
YTC:
N | YTC | PV | PMT | FV |
? |
| ? | ? | ? |
| = ? |
|
|
|
6a) Calculate the Value of the Bonds under the following assumptions:
[assume annual coupons; $1,000 face value]
[you can leave the following bond prices as positive numbers; easier to calculate % change]
Market Interest Rate = 4% | Maturity | ||
|
| 10-Yr | 30-Yr |
Period 1 2015 Spring2 | 1% coupon | What value? | What value? |
4% coupon | 1,000.00 | 1,000.00 | |
7% coupon | What value? | What value? |
Market Interest Rate = 2% | Maturity | ||
|
| 10-Yr | 30-yr |
Period 2
| 1% coupon | What value? | What value? |
4% coupon | What value? | What value? | |
7% coupon | What value? | What value? |
% Change in Bond Value from Period 1 to 2 | ||
Maturity: | 10-Yr | 30-Yr |
1% coupon |
|
|
4% coupon |
|
|
7% coupon |
|
|
6b) What do you conclude about the relative sensitivity of bond prices to changes in interest rate?
[Hint: use the above calculated numbers to make comments on the following comparisons with regard to how sensitive are bond price changes when market interest rate changes]
1) Longer maturities relative to shorter maturities?
Put your response here .
2) Higher coupon bonds relative to lower coupon bonds?
Put your response here .
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