GMAC has just issued bonds paying $10,000 in 2052, but nothing else until then. Investors paid $500
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- GMAC has just issued bonds paying $10,000 in 2052, but nothing else until then. Investors paid $500 for these bonds in 2022. What is rate of return earned by investors on these bonds? Suppose that rate of return on comparable bonds moves to 11% in 2022, what would have happen to the price of these bonds?
- Suppose J. K. Thrifty bank pays 10% annual rate on deposits, on a monthly basis. This means J.K. Thrifty actually pays 0.8333% per month. What is the effective annual interest rate paid by J.K. Thrifty Bank? (Hint: use months as the length of each period and find future value)
- Why would managers be interested in maximizing shareholders’ wealth? Give three reasons.
- If the present value of $231.125 paid two years from today equals $200, what is the discount rate? What is the discount factor?
- Suppose that I paid $3,000 for a piece of artwork that I hope will sell for $4,000 one year later. What is my rate of return on this investment? If the appropriate opportunity cost of capital for this artwork is 20%, what is the present value of my expected sale price?
- As winner of an essay competition on sustainable global growth, you can choose one of the following prizes. Rank order them in your order of preference. The interest rate is 12%.
- $300,000 at the end of 6 years (paid six years from now)
- $18,600 a year (starting from Year 1), forever.
- $28,500 a year (starting from Year 1), for the next 10 years.
- $27,000 a year (starting in Year 4, or 4 years from today), forever.
- $45,000 a year, starting from Year 5 and ending in Year 13.
- Calculate the present value of the following cash flow streams.
- $1000 in Year 2 and $ 2000 in Year 4. Interest rate is 10% for the next 3 years and 12% thereafter (Hint: Analyze years 1-3 first. Analyze year 4 separately. Combine your answers at time 0).
- An annuity of $ 750 a year for 15 years, starting from Year 1. The interest rate is expected to be 10% for the next 5 years and % 14 thereafter. (Hint: analyze the PV of next five years first using 10%, then analyze the PV of years 6 through 15 separately using 14% interest rate, and the combine these two parts)
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