This person earns $1000 of income today and $2000 income next year. Point C represents his consumption if he doesn't borrow or lend. If the interest rate is 10%, his Consumption Next Year at Point A is? Consumption Next Year Consumption Today
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- Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is this fear true? Does a high risk mean the return must be low?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.The disposable income from your part-time job in 2019 was $18,800. In 2018, you borrowed $700 at 14 percent interest. You repaid your loan with interest in 2019. How much would you have available for spending in 2019? (Do not round intermediate calculations.)
- The market for a product is expected to increase at an annual rate of 6%. First-year sales are estimated at $45,000, the horizon is 12 years, and the interest rate is 8%. What is the present value?Suppose an individual places his money in a bank for a year then invests in apples for a year. Suppose the bank has an annual rate of 5%, compounded continuously. During the year in which the individual's money is in the bank, the apple grows in price from $1 to $1.25. Suppose its return doubles in the second year, when the individual's money is invested in the apples. He starts the first investment period with $100. How much money does he have after two years following the investment plan given above? Group of answer choices $105.1 $124.7 $154.4 $157.7Multiperiod Consumption-Saving Plan Assume a person is 35 years old and plans to retire at age 65. So s/he has 30 more years to work. Assume the following additional information apply: Annual (real) income = $40,000 Real interest rate = 5% Expected live after retirement = 20 years Desired retirement income = 75% of pre-retirement income = $30,000 Prepare lifetime consumption-savings schedule for the person. First calculate how much s/he should have at retirement in order to consume $30,000 per year for 20 more years. This is the PV of annuity of $30,000 over 20 years at interest rate of 5%. 30,000* (PVIFAs°20) = $373,866.31. This amount is also equal to the future value of what s/he should save over her/his remaining 30 working years. (Annual saving)* (FVIFAS9,30) = $373,866.31. Solve for annual saving and you will get $5,627.22.
- 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.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.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.
- Sabrina has $657 in 2022 and pays an annual interest rate of 22%. How much money will she have at the end of 2027?Property taxes in a particular district are 2% of thepurchase price of a home every year. If you just purchased a $150,000 home, what is the present value ofall the future property tax payments? Assume that thehouse remains worth $150,000 forever, property taxrates never change, and a 4% interest rate is used fordiscountingA man, pondering of retirement, determined that 300,000/year will be sufficientfor him to live without the need to work. Upon his retirement, howmuchmusthe invest in a bank that offers 5% interest rate to receive the amount everyyearcontinuously?