Consider the following spot rate curve: 6-month spot rate: 6%. 12-month spot rate: 11%. 18-month spot rate: 14%. What is the forward rate for a 6-month zero coupon bond issued one year from today? Equivalently, the question asks for f12, where 1 time period consists of 6 months. Remember, like spot rates, forward rates are expressed as bond-equivalent yields.
Consider the following spot rate curve: 6-month spot rate: 6%. 12-month spot rate: 11%. 18-month spot...
6.4.4 The current term structure has the following nominal annual spot rates, i2) 18-month: % 12-month: 10%, 6-month: 8%, 1. Based on this term structure, a 13-ycar bond with (nominal annual) coupon rate 10% has a YTM of 11%. Find x 2. Suppose that the forward rate (quoted as a nominal annual rate of interest) for the period from 1 to 1 years is 11% . Find r in that case. 3. You predict that 6 months from now, the...
1. The following table provides zero coupon bond yields. Maturity Bond equivalent yield 6 months 6% 1 year 8% A 12% coupon bond with coupons paid semiannually matures in one year. The par value of the bond is $1,000. What is the price of this bond? [First identify the cash flows.] A. $1,030 B. $1,032 C. $1,034 D. $1,038 2. The following are the prices of zero coupon bonds. Par value is $1,000 in each case. Maturity Price 6 months...
6. (20 points) Suppose months, maturity in 12 months, and maturity in 18 months. Suppose the 6 month bond is a zero-coupon bond and has a theoretical price of $101. Suppose the 1 year bond pays a coupon every 6 months at an annual rate of $6, and has a theoretical price of $97. Suppose the 18 month bond pays a coupon every 6 months, at an annual rate of $8 and has a theoretical price of $96. The face...
Suppose we have the following current spot rate curve: 6-month spot rate: 5%. 12-month spot rate: 9%. An investor firmly believes that the 6-month spot rate in 6 months will be 4%, and that you can borrow $4,621 at the current market rates. How much profit can this investor expect to make using the entire borrowed amount if her belief turns out to be true?
The 6-month, 12-month, 18-month, and 24-month zero rates are 4%, 4.5%, 4.75%, and 5% with semiannual compounding, respectively. (a) What are the rates with continuous compounding? (b) What is the forward rate for the six-month period beginning in 18 months? (c) What is the value of an FRA that promises to pay you 6% (with semiannual payment) on a principal of $1 million for the six-month period starting in 18 months? (d) If the six-month LIBOR rate were 6.5% in...
You are given the following benchmark spot rates: Maturity Spot Rate 1 2.90% 2 3.20% 3 3.60% 4 4.20% a) Compute the forward rate between years 1 and 2. b) Compute the forward rate between years 1 and 3. c) What is the zero price today of a five-year zero-coupon bond if the forward price for a one-year zero-coupon bond beginning in four years is known to be 0.9461 d) Calculate the price of a 4% annual coupon corporate bond...
QUESTION 43 An analyst collects the following spot rates, stated as annual BEYS: • 6-month spot rate = 6%. • 12-month spot rate = 6.5%. • 18-month spot rate = 7% • 24-month spot rate = 7.5%. Given only this information, the price of a 2-year, semiannual-pay, 10% coupon bond with a face value of $1,000 is closest to: A) $918.30 B) $1,000.00 C) $1,046.77 ОА B oc
Six-month LIBOR is 3.5%. LIBOR forward rates for the 6- to 12-month period and for the 12- to 18-month period are both 3.7%. Swap rates for 2- and 3-year semiannual pay swaps are 3.6% and 3.8%, respectively. Estimate the LIBOR forward rates for maturities of 18-month to 2 years, 2 to 2.5 years, and 2.5 to 3 years. Assume that the 2.5-year swap rate is the average of the 2- and 3-year swap rates and that OIS zero rates for...
14, A one-year zero coupon bond yields 3.0%. The two-and three-year zero-coupon bonds yield 4.0% and 5.0% respectively. a. The forward rate for a one-year loan beginning in two years is closest to? (10 points) b. The four-year spot rate is not given above; however, the forward price for a one-year zero-coupon bond beginning in three years is known to be 0.8400. The price today of a four-year zero-coupon bond is closest to? (5 points) 14, A one-year zero coupon...
Exercise 2. The 6-month, 12-month. I 8-month, and 24-month zero rates are 4%, 4.5%, 4.75% and 5%, with continuous compounding (a) What are the rates with semi-annual compounding? (c) Forward rates are rates of interest implied by current zero rates for periods of time in the future. Calculate the forward rate for year 2, i.e. the rate for the period of time between the end of 12-month and the end of 24-month. (d) Consider a 2-year bond providing semiannual coupon...