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- True or False 1. A deferred annuity until ? period of ? interest, and A equal payments, can be compensated by paying A times [?/?, ?%, ? + 1] on the ? +1 period. 2. A zero profit implies that this is a breakeven point, and the amount of demand equals the amount of supply.The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %
- Use the definition of the effective rates of interest and discount. j=[Amount at s+t - Amount at s] / [Amt at s]. d_j=[Amount at s+t - Amount at s] / [Amt at s+t]. For 8 items c & d, if j (d_j) is nominal then effective interest (resp. discount) every mth of a period is j^(m)/m (resp. d^(m)/m).1. Consider a wine dealer who has k bottles of wine. The dealer can sell them now (t = 0) or can store it for some time and then sell them later. The value of k bottles at t-th month is given by: Vt = ket The dealer can use the sales revenue as principal in a risk-free investment at rate r. (a) If the dealer sells them now, what is the sales revenue?an index currently stands at 1,500. a 3 months future has a strike price of 1,515 the three-month risk-free rate is 6% p.a. what is the implied dividend yield?
- Firms A and B are identical except for their capital structure. A carries no debt, whereas B carries £60m of debt on which it pays a 5% interest rate. Assume no transaction costs, no taxes and risk-free debt. The relevant numbers are provided in the following table (in £ m): A B Value of Firm 100 120 Debt 0 60 Equity 100 60 Projected earnings before interest 12 12 Interest payment 0 3 Interest rate Not Applicable 5% Please answer the following questions a) "The situation described in the table is consistent with the absence of arbitrage opportunities". True or False (T/F)? b) Which one of the two firms is relatively overvalued (A/B)? c) "B's shares carry more risk than A's shares". True or False (T/F)? d) What is the return to an investor holding a 10% stake in B (in £ '000)? e) Consider an investor who wants to purchase a 20% stake in A. If he wished to replicate B's capital structure through homemade leverage,…1. Consider a wine dealer who has k bottles of wine. The dealer can sell them now (t = 0) or can store it for some time and then sell them later. The value of k bottles at t-th month is given by: Vt = ket The dealer can use the sales revenue as principal in a risk-free investment at rate r. (b) Write out the present value PV, of k bottles at t-th month.1. Consider a wine dealer who has k bottles of wine. The dealer can sell them now (t = 0) or can store it for some time and then sell them later. The value of k bottles at t-th month is given by: Vt = ket The dealer can use the sales revenue as principal in a risk-free investment at rate r. (d) If the risk free rate is 5%, what is the optimal timing of sales?
- True or False 1. If a certain present value P is amortized into 10 equal payments, then the future worth F will always be greater than10 times the present worth for all values of i. 2. A zero profit implies that this is a breakeven point, and the amount of demand equals the amount of supply.5 Question Let Ya,n be the present value of an n-year term continuous annuity of $1 per year for an insured aged x. Let Y be the present value of a whole life continuous annuity of $1 per year for an insured aged x. Given a constant force of interest, 8, show that: 1 бп Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚) 82 n. - -bond valuation An investor has two nonds in her portfolio, bond C and bond Z. each bond maturres in 4 years has a face value of 1000, and has a yield to maturity of 9.6% bond C pays a 10% annual coupon, while bond Z is a zeo coupon bond . b- assuming that the yield to maturity of each bond remains at9.6% over the next 4 years, calculate the price of the bonds at each of the following years to maturity year 4,3,2,1,0 b- plot the time path of price for each bond