Imprudential, Inc, has an unfunded pension liability of $709 million that must be paid in 10 years. To assess the value of the firm's stock, financial analysts want to discount this liability back to the present. Required: If the relevant discount rate is 5 percent, what is the present value of this liability?
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- Q5: Calculating Present Values: Imprudential, Inc., has an unfunded pension liability of $415 million that must be paid in 20 years. To assess the value of the firm's stock, financial analysts want to discount this liability back to the present. If the relevant discount rate is 5.2 percent, what is the present value of this liability? (Hint: Use Q2 excel sheet to compute present value)A corporate pension plan has to make the following payments over the next few years: Year 1 2 3 4 Amount ($ million) 29 33 39 47 NO CHAT GPT, HAND WRITTEN ONLY OTHERWISE WILL LEAVE A DOWNVOTE The appropriate interest rate is 8%. What is the present value of the liability (in $ million)? What is the duration of the liability?d) If the pension fund you manage expects to have an inflow of $200 million 12 months from now what forward contract would you seek to enter into to lock in current interest rates? 30
- Suppose that a life insurance company has guaranteed a payment of $14 million to a pension fund 4.5 years fromfund and can invest the entire premium for 4.5 years at an annual interest rate of 6.25%, how much will the life in$13.7 million$17.8 million$18.4 million$14.1 millionConsider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…Suppose Caterpillar's defined-benefit pension plan offers a retirement benefit tied to years of service and final salary (like most DB plans) and that the retirement benefit is further increased by a fixed 3% per year each year. Caterpillar plans to change the retirement-plan formula so the amount of the retirement benefit increase is positively correlated to how Caterpillar's stock has performed (rather than the fixed 3% rate). This change in the retirement-benefit formula will cause the appropriate discount rate for the DB plan benefit to: Decrease Stay the same Increase
- In calculating insurance premiums, the actuarially fair insurance premium is the premium that results in a zero NPV for both the insured and the insurer. As such, the present value of the expected loss is the actuarially fair insurance premium. Suppose your company wants to insure a building worth $390 million. The probability of loss is 1.29 percent in one year, and the relevant discount rate is 3.1 percent. a. What is the actuarially fair insurance premium? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, e.g., 1,234,567.) b. Suppose that you can make modifications to the building that will reduce the probability of a loss to .80 percent. How much would you be willing to pay for these modifications? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, e.g., 1,234,567.) a. Insurance premium b. Maximum costPresent value of an ordinary annuity: Dynamics Telecommunications Corp. has made an investment in another company that will guarantee it a cash flow of $22,500 each year for the next five years. If the company uses a discount rate of 15 percent on its investments, what is the present value of this investment? Please use Excel to solve#7 A borrower takes out a loan of $2000 for two years. Construct a sinking fund schedule if the lender receives 10% effective on the loan and if the borrower replaces the amount of the loan with semiannual deposits in a sinking fund earning a nominal rate of discount at 8% convertible semiannually.
- Scenario 1: Individual Retirement Accounts (IRAs) allow people to shelter some of their income from taxation. Suppose the maximum annual contribution to such accounts is $5,000 per person. Now suppose there is a decrease in the maximum contribution, from $5,000 to $3,000 per year. Shift the appropriate curve on the graph to reflect this change. This change in the tax treatment of interest income from saving causes the equilibrium interest rate in the market for loanable funds to and the level of investment spending to .Use the following spot rates to answer the following questions. Maturity Spot rate (%) 1 year 4.93% 2-years 4.47% 3-years 4.12% 5-years 3.84% 10-years 3.68% Assume that Citibank is offering to sell a one-year Treasury bill next year with a rate of 5% (i.e., you can enter into a contract today to lock in a 5% return on a one-year security purchased/sold next year). Based on the above spot rates, does the Citibank offer generate any arbitrage opportunities? If so, compute the total $ profits that can be generated from this opportunity, specifying the steps you would take. Assume you will borrow/invest $1,000. O Yes: profit of $5.55/ $1000 borrowed. O No: $0 O No: Loss of $5.55/ $1000 borrowed.based on Citibank's offered rate. O Yes: $55.55/$1000 borrowed.Your client is invested in a registered indexed-linked annuity (RILA). The RILA contains a 7% floor, an 80% participation rate, and an overall cap rate of 10%. Suppose in years one and two, the S&P 500 returns 12% and -10%, respectively. What interest rate would be credited to the RILA during these two years? A) Year 1: 10% / Year 2: -7% B) Year 1: 9.6% / Year 2: -7% C) Year 1: 9.6% / Year 2: -3% D) Year 1: 9.6% / Year 2: -10%