A bank has an outstanding bond issue with a face value of $ 1000 per bond and three years to maturity. Interest is payable annually. The bonds are privately held by a pension fund that wishes to sell them to another party. It estimates that, in the current market conditions, the bonds should provide nominal return of 14%. Calculate the price of the bond that should be realized on the sale?
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- A customer asks a bank if it would be willing to commit to making the customer a one-year loan at an interest rate of 6.5% two years from now. To compensate for the costs of making the loan, the bank needs to charge two percentage points more than the expected interest rate on a Treasury bond with the same maturity if it is to make a profit. The bank estimates the liquidity (term) premium for one-, two-, and three-year bond to be 0%, 0.5%, and 1%, respectively. According to the Treasury yield curve below, what interest rate the loan must charge in order for the bank to make a profit on the loan? Should the manager be willing to make the commitment? Choose the closest answer below. Spot rate 6% 5% 4% Term 1-year 2-year 3-year O 7%; Yes O 8%; No O 5%: Yes O 6%; Yes O 7%; NoA Bank offers both loans and deposits at a nominal interest rate of 4% that is continuously compounded A) What is the effective rate offered by the bank? B) The bank also offers a 3-year bond with face value £10000, redeemable at par, with 10% annual coupons. What is the final payment of that bond? C) Assuming there are no arbitrage opportunities, what is the price of the above bond?Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.9 million per year to beneficiaries. The yield to maturity on all bonds is 19.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 11.8% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par…
- Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2.2 million per year to beneficiaries. The yield to maturity on all bonds is 14.4%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 10.5% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 4% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. Answer is complete but not entirely…Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.3 million per year to beneficiaries. The yield to maturity on all bonds is 14.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 10.0 % (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 5% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par…A 10-year government bond has face value of OR 200 and a coupon rate of 6% paid semiannually. Assume that the interest rate is equal to 8% per year. What is the bond’s price? What is the reason for the difference in price on an annual and semiannually basis? Discuss the role of financial managers.
- Suppose you purchase a T-bills that is 125 days from maturity for $9,765. The T-bills has a face value of $10,000.a. Calculate the T-bills’s quoted discount rate. b. Calculate the T-bills’s annualized rate.c. Who are the major issuers of and investors in money market securities?NikulWhat is a “balanced portfolio” ? What kind of account allows people to invest small amounts of money into a large, professionally managed, balanced portfolio? Jack Abrams borrowed $8,000 for nine months at an interest rate of 7% (simple interest). The bank also charges a $100 processing fee. What is the actual interest rate for this loan? On September 30, 2019, Stinky Bank issued 10-year bonds at an annual simple interest rate of 4.25%, with interest paid twice a year. Pepe le Pew purchases a $10,000 bond. How much interest will Pepe earn every six months? How much interest will he earn over the 10-year life of the bond? Charlie Brown, a 25-year-old professional, invests $200 a month in the XYZ Capital Opportunity Fund, which has a 10-year average return of 8.75%. Charlie wants to estimate what he will have for retirement when he Is 60 years old if the rate stays constant. Assume monthly compounding. If Charlie makes no further deposits and makes no withdrawals after…
- An insurance company must make payments to a customer of $20 million in 1 year and $8 million in 5 years. The yield curve is flat at 10%. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (in years, use four decimal places) What must be the face value and market value of that zero-coupon bond? (in millions, use two decimal places)Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%. Required: a. If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 3.7 years and the duration of 20-year maturity bonds with coupon rates of 7% (paid annually) is 6.5 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? (Do not round intermediate calculations. Enter your answers in millions rounded to 5 decimal places.) > Answer is complete but not entirely correct. Holdings 5-year bond 20-year bond $ 1.60000 million $ 22.20000 million b. What will be the par value of your holdings in the 20-year coupon bond? (Enter your answer in dollars not in…Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2 million per year to beneficiaries. The yield to maturity on all bonds is 16%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 12% (paid annually) is four years and the duration of 20- year-maturity bonds with coupon rates of 6% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 1 decimal place. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par value $…