Using annual compounding, what price would you predict for a 20-year, 7% bond priced to yield 5%? Using annual compounding, what price would you predict for a 10-year, 6% bond priced to yield 9%?
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Business 123 Introduction to Investments
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- According to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6.50% p.a., the 2-year bond rate today is 6.70% p.a., and the 3-year bond rate today is 7.00%, what will be the 2-year bond rate next year?If we are using annual returns and the YTM of a 10 year bond is 5.3% and the YTM of an11 year bond is 5.4% What is the forward rate from year 10 to 11?Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %
- Suppose that the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.Consider a bond with a duration of 8.8 years priced at $1,100. If market interest rates were to increase by 0.25%, what would be the predicted new bond price according to duration?You are considering the purchase of a perpetual bond that pays you $174 per year for the foreseeable future. If you require a 5.85% rate of return on this bond investment, what is a fair price for the bond that you would be willing to pay today? To nearest $0.01
- Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.8%, with semiannual payments.Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? What is the yield to maturity of the bond?Suppose you purchase a 10-year bond with 5% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 3.49% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.)
- Suppose you bought a five-year zero-coupon Treasury bond for $800 per $1000 face value. What is the yield to maturity (annual compounding) on the bond?Suppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…The one year interest rate over the next ten years will be 6%, 7.5%, 8.5%, 10%, 10.5%, 11%, 12%, 13%, 14% and 15%. Using the expectations theory, what will be the interest rates on a three-year bond, five year bond, eight year bond, and ten year bond?