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Suppose that the forward rate today for the period between 1 year and 2 years in the future is 7% (with annual compounding) and that sometime ago a company entered into an FRA where it will receive 5% (with annual compounding) and pay SOFR (market rate) on a principal of $100 million for the period.
Today the 2-year zero rate rate is 6.5%.
What is the value of the FRA this company has entered into to get paid 5%, now that the forward rates have gone from 5% to now being 7%?
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- (a) Calculate the perpetual equivalent annual worth in future dollars for years 1 through ∞ for income of $50,000 now and $5000 per year thereafter. Assume the market interest rate is 8% per year and inflation averages 4% per year. All amounts are quoted as future dollars. (b) If the amounts had been quoted in CV dollars, what is the annual worth in future dollars?You make an investment into a money market account at time T=0. In year T=5, the value of the money market account will be $5,000. The money market account pays an annual interest of R=6%, and interest is compounded on a quarterly basis. What is the present value of this account?Suppose we invest £100,000 at a semi-annually compounded interest rate of 6% for 1 year. What are the gross and net returns? Do the same if this was a monthly compounded rate and a continuously compounded rate. Compare the three net returns to the interest rate. Can you explain the ordering of these 4 quantities?
- Five years ago, you entered into a 10-year investment with a simple interest of 4% per annum and a one-time principal P (in pesos) paid at the start of the investment. Today, your bank announced that it will impose a new interest rate of 4.5% compounded quarterly. If three years from now the value of your investment is 150,000 pesos, find an expression for P and use the expression to approximate P.A firm is scheduled to receive payment of $32,000 in 2 years. What is the present value of this payment if r=4% compounded monthly?A. Assume that you have $7500 to invest. You plan to invest it for 10 years at a rate of 7% per year, compounded semiannually. What is the future value (FV) of this investment? B. Assume that you need to accumulate $25,000 by the end of 17 years. You can invest today at a rate of 12% per year, compounded quarterly. At that rate, how much must you invest today (PV) to accumu-late the $25,000? C. Assume that you have $5000 to invest today. At the end of 7 years, you need that $5000 to have grown to $10,000. If you invest at semiannual compounding, what annual rate must
