14 Calculate the term of each annuity: Future Value Present Value Size of Payment a. So $8,500 $675 b. $23,500 50 $491.25 c. $0 $962 $100 d. $85,000 50 $2,500 Interest Rate 10.75% 8.25% 10.00% 13.00% Payment and Conversion Period 3 months 1 month 1 week 6 months Term (N) ? ? ? ?
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- Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.1.Assuming you have an inflation linker that pays an annual coupon of 2.5% every half a year and the real yield is 3%. What will be the price of the if it matures after 3.5 assuming inflation is -2% principal of 100 that you bought directly from the government. Hint: Use the magic formula first and then decide whether u need an adjustment 98.35 96.38 95.3 NONE OF THE ABOVEConsider price quotes and characteristics for two different bonds:Bond A Bond BCoupon Payment Annual AnnualMaturity 3 years 3 yearsCoupon Rate 10% 6%Yield to Maturity 10.65% 10.75%Price 98.40 88.34At the same time, you observe the spot rates for the next three years:Term Spot (Zero-Coupon) Rates1 year 5%2 years 8%3 years 11%Demonstrate whether the price for either of these bonds is consistent with the quotedspot rates. Under these conditions, recommend whether Bond A or Bond B appears tobe the better purchase.
- ▼ Cash Flow Present Discounted Value Interest Rate is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $3000 is to be paid out a year from today with the interest rate equal to 3% is $enter your response here. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $enter your response here. (Round your response to the neareast two decimal place)Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.Katie has £20,000 which she keeps in a safe in her flat. It is the only wealth which she has. Sheis thinking about using some of the money to insure against its theft. She thinks there is a(N+5)% chance that it will be stolen, in which case she will never see any of it again. She canfully insure against the loss of the money at a cost of £2000, or she can partially insure. Let Kbe the amount of insurance she buys and r be the premium rate at which insurance is offered(i.e. the price per £ of insurance) so that Katie spends rK on insurance.a) Assume for the time being that the insurance industry is competitive, and insurance isoffered at a fair premium rate. Denote by WG Katie’s wealth if she does not get hermoney stolen (the good state) and by WB her wealth if she does (the bad state). Whatare the equations for WG and WB (as functions of K)? Use these to work out theequation for Katie’s budget constraint.b) Given Katie’s utility function over wealth is u(W) = √W, find out how much…
- Lewis’s management has been considering movingto a new downtown location, and they are concerned that these plans may come to fruition priorto the equipment lease’s expiration. If the moveoccurs then Lewis would buy or lease an entirelynew set of equipment, so management wouldlike to include a cancellation clause in the leasecontract. What effect would such a clause haveon the riskiness of the lease from Lewis’s standpoint? From the lessor’s standpoint? If you werethe lessor, would you insist on changing any ofthe other lease terms if a cancellation clause wereadded? Should the cancellation clause containprovisions similar to call premiums or any restrictive covenants and/or penalties of the type contained in bond indentures? Explain your answer.a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.▼ Cash Flow Present Discounted Value Interest Rate is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $3000 is to be paid out a year from today with the interest rate equal to 3% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)
- ▼ Cash Flow Present Discounted Value Interest Rate is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $3000 is to be paid out a year from today with the interest rate equal to 3% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)Define the following: i) Simple interest. ii) Breakeven point. iii) Ordinary annuity. b) When the price of a commodity is Sh. 530 the unit demand is 55 units. The demand is 120 units when the price is Sh. 270. If the cost of production is C = 2q + 150, Calculate the profit when 5 units are produced and sold. c) The present value of an annuity due is Sh. 284,000 after 4 years at a discount rate of 10%. Calculate the annual payment. d) A man deposits Sh. 12,000 in a bank at the beginning of each year. The compound interest is 12% per year. Calculate how long it will take for an accumulated amount of Sh. 95,000.Provide cash-flow diagram if applicable. The PH debt as of today amounts to 12 trillion. This balloons with an interest rate of 0.16% yearly. Suppose thegovernment requires every earning individual to pay the debt by 2030, how much each of us would need to paymonthly (annual payment amortized in 12 equal payments), assuming that inflation is 3%, the interest rate is 5.6%compounded daily, and we will start the payment by the end of 2022? The Philippines is estimated to have 110million people, with the work force of around 20%.
