Assume you just deposited $1,000 into a bank account. The current real interest rate is 3% and inflation is expected to be 6% over the next year. What nominal interest rate would you require from the bank over the next year? How much money will you have at the end of one year? If you are saving to buy a stereo that currently sells for $1,125, will you have enough to buy it?
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- Suppose that you just purchased a used car worth $14.000 in today's dollars. Assume also that. to finance the purchase. you borrowed $12,000 from a local bank at 8% compounded monthly over two years. ·n1e bank calculated your monthly payment at $542.36. Assume that average general inflation will run at I% per month over the next two years.(a) Determine the annual inflation-free interest rate (i') for the bank.(b) What equal monthly payments, in terms of constant dollars over the next two years, arc equivalent to the series of actual payments to be made over the life of the loan?Hila Co. operates under a hyperinflationary economy. Hila computed the increase in current cost of inventory as follows:Increase in current cost (nominal pesos) P15,000Increasse in current cost (constant pesos) P12,000 What amount should Hila disclose as the inflation component of the increase in current cost of inventories?a. 3000b. 12,000c. 15,000d. 27,000Your rich aunt is going to give you an end-of-year gift of $1,000 for each of the next 10 years. The general price inflation is expected to average 6%per year during the next 10 years, and the real interest rate is 4% per year. a. What is the equivalent value of these gifts at the present time? b. What is the current PW of the gift? c. What is the MARR?
- Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. (b) Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram.Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram. (b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram (d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.a) Assume that the nominal return on U.S. government T-bills was 10% during 2002, when the rate of inflation was 6%. The real risk-free rate of return on theseT-bills was: b) When individuals believe they have sufficient income and assets to cover their expenses while maintaining a reserve for uncertainties, they are most likely in the phase of the investment life cycle. gifting B. consolidation C. accumulation D. spending c) Find the duration of a 3-year bond with annual coupon payments of $80 and a par value of $1,000. The current market price of the bond is $950.25. If the YTM of the bond dropped by 1%, what would happen to the bond price?
- A property was purchased on December 31, 2016 for 20 million pesos. The general price index in the country was 60.1 on that date. On December 31, 2018, the general price index had risen to 240.4. If the entity operates in a hyperinflationary economy, what would be the carrying amount in the financial statements of the property after the restatement? 20,000,000 80,000,000 1,200,200,000 4,808,000,000Problem ##1Suppose you borrow $ 20,000 at 9% compounded monthly, for 5 years. Knowing that 9% represents the market interest rate, the monthly payment in current dollars will be $ 415.17. If the average monthly headline inflation rate is expected to be 0.5%, what will be the annual equivalent of equal monthly payments in constant dollars?Set the value for periods N in months and the effective interest per month.The purchasing power (real value of money) decreases if inflation is present in the economy. For example, the purchasing power of $33,000 after t years of 8% inflation is given by the model P=33,000e−0.08t dollars. How long will it take for the value of a $33,000 pension to have a purchasing power of $16,500 under 8% inflation?
- A# man# is# planning# to# retire# in# 20# years.# He# can# deposit# money# for# his# retirement# at# 8%# compounded# monthly.# It# is# estimated# that# the# future# general# inflation# (!)# rate# will# be# 3%# compounded#monthly.#What#deposit,#in# terms#of#constant#dollars, must#be#made#each#month#until# the#man#retires#so#that#he#can#make#annual#withdrawals#of#$20,000,#in#terms#of#actual dollars,#over# the#15#years#following#his#retirement?#(Assume#that#his#first#withdrawal#occurs#at#the#end#of#the#first# year after#his#retirement.)Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 6MO USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)Today you borrowed $90,000 from a bank at an interest rate of 10.25%, compounded monthly. You are supposed to repay the loan and its interest charges in equal monthly payments over a 15-year period, with the first payment in a month from now. The estimated annual inflation rate is 6%, compounded monthly.(a) What is the amount of your monthly payments?(b) What is the bank's real effective annual rate of return on this deal after taking inflation into account?