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Suppose a bank grants a loan to one customer for a term of five years. The customer promises the bank an annual interest payment of 10 percent. The face (par) value of the loan is $1,000 which is also the current market value as the loan’s current YTM is 10 percent. What is the loan’s duration?
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- Suppose a 10-year, $1,000 bond with a(n) 11% coupon rate and semiannual coupons is trading for a price of $970.75. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9% APR, what will the bond's price be?A five-year bond with a yield of 11% (continuously compounded) pays an 8% coupon at the end of each year. a) What is the bond’s price? b) What is the bond’s duration? c) Use the duration to calculate the effect on the bond’s price of a 0.2% decrease in its yield. d) Recalculate the bond’s price on the basis of a 10.8% per annum yield and verify that the result is in agreement with your answer to (c).Two bonds have identical times to maturity, face value, and coupon rates. The current price of the first one is $105 and the second is being traded at $110. Which should have the higher yield to matury? Why? You purchase the $110 bond today and sell it off next year at $108. What is its one-year rate of return (assume the bond’s coupon rate is 5% and its face value is $100)? If the expected inflation over the course of the year is 2%, what would the ex-ante real rate of return be for the bond on part (b)?
- Assume that a bond has a face value of $250,000. It has a maturity of 1 year and the coupon rate of interest is 5%. If the current market price of this bond is $225,000, what is the yield to maturity? If the market price of the bond increases to $240,000, what happens to the yield to maturity?Consider a coupon bond that has a $1.000 par value and a coupon rate of 9%. The bond is currently selling for $1,150 and has 9 years to maturity. What is the bond's yield to maturity?A discount interest loan is a loan arrangement where the interest and any other related charges are calculated at the time the loan is closed. Suppose a one-year loan is stated as $10,000 and the interest rate is 14%. Then, the borrower pays $1,400 interest up front, thereby receiving net funds of $8,600 and repaying $10,000 in a year. What is the effective interest rate on this one-year loan?
- A four-year bond has an 6 percent coupon rate and a face value of $1,000 . If the bond's current price is $817.75 , calculate the yield to maturity of the bond (assuming annual interest payments). A) 8 percent B) 10 percent C) 12 percent D) 6 percentWhat is the percentage change in price for a zero coupon bond if the yield changes from 6.5% to 5.5%? The bond has a face value of$1,000 and it matures in 10 years. Use the price determined from the first yield, 6.5%, as the base in the percentage calculationA coupon bond has two years to maturity, a face value of $1000 and a coupon rate of 2%. The yield to maturity is 3%. After one year, the yield to maturity falls to 2%. Find the rate of capital gain for the first year.
- Suppose a borrower with a 25% risk of default and no collateral wants to borrow from a lender whose alternative rate of return is 5%. What is the lowest interest rate that the lender will charge? [Enter your solution as a percent, e.g. 10 means 10%]You plan to purchase a $310,000 house using a 15-year mortgage obtained from your bank. The mortgage rate offered to you is 5.10 percent. You will make a down payment of 20 percent of the purchase price. Calculate your monthly payments oni this mortgage. $1.922.34 $1.411.17 $1,974.11 $1.74191 None is the correct answerPeter Scents has been given two competing offers for short-term financing. Both offers are for borrowing $15,00 for 1 year. The first offer is a discount loan at 8%; the second offer is for interest to be paid at maturity at a stated interest rate of 9%. Show Solutions and Explanation. A. Calculate the effective annual rates for the discount loan. (Format: 1.11%) B. Calculate the effective annual rates for the loan with interest to be paid at maturity. (Format: 1.1%)
