1. You have a bond with annual coupon payments of $30, the interest rate for com
ID: 2773541 • Letter: 1
Question
1. You have a bond with annual coupon payments of $30, the interest rate for comparable bonds is 5%, and there is a maturity value of $150 in 4 years.What is the current price of the bond?
(show all work)
2. You buy a bond that is selling at par. ($100 face value, 8% coupon rate, 8% mkt rate, due in 3 years).You hold it for one year and the market interest rate changes to 10%; what is a fair price for this bond?
3. What is the value of a bond with a $50 face value, 10% coupon payments (received SEMIANNUAL), a market interest rate of 25%, and matures in 10 years.
4. You just sold a bond with annual coupon payments of $15, the interest rate for comparable bonds is 15%, and there is a maturity value of $60, and matures in 5 years.You bought this bond for $50 one year ago.What is your yield? (Remember that there are two components of yield, price appreciation and interest received; make sure you line up these amounts to find your total return)
Explanation / Answer
ANSWER 1
CURRENT PRICE OF THE BOND= {[30*(PVIAF 5%, 4YEARS)]+ (150*CDF@ 5%OF 4TH YEAR) }
=> (30*3.546) + (150*0.822)
=> 106.38+123.3
=> 229.68 IS CURRENT PRICE OF THE BOND
ANSWER 2
FAIR PRICE = [(100*8%) * (PVIAF 8%, 1YEAR) ] + (100* CDF@8% OF 1 YEAR)
=> (8*0.926) + (100*0.926)
=> 100 (a) EQUATION
AND WHEN RATE CHANGES
FAIR PRICE = [(100*8%) * (PVIAF 10%, 2-3YEAR) ] + (100* CDF@10% OF 3RD YEAR)
=> (8* 1.577) + (100* 0.751)
=> 87.716 (b) EQUATION
ADDING EQUATION a& b
=> 100+ 87.716
=> 187.72 IS FAIR PRICE
ANSWER 3
SEMIANNUALY SO,
MARKET INTEREST RATE = 25/2 => 12.5%
COUPON PAYMENT = (50*10%)/2 => 2.5
NO OF YEARS = 10*2 => 20 YEARS
CURRENT PRICE OF THE BOND= {[2.5*(PVIAF 12.5%, 20YEARS)]+ (50*CDF@ 12.5%OF 20TH YEAR) }
=> (2.5*7.241) + (50*0.0948)
=> 18.1025 + 4.74
=> 22.8425 IS VALUE OF BOND
ANSWER 4
CURRENT YEILD = ANNUAL INTEREST/ PRICE
=> (15/60)*100
=> 25% IS YEILD
AND TO CALCULATE
YEILD TO MATURITY= { [ COUPUN AMOUNT + ( REDEMPTION PRICE - BOND PRICE ) /NO OF YEARS] }/ [ ( REDEMPTION PRICE + BOND PRICE )/2 ]
=> { [15 + (60-50)/5] } / [ (60 + 50 )/2 ]
30.9% IN CASE OF YEILD TO MATURITY
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