Input | Output |
---|---|
Calculate the value of bond B shown in the following table, all of which pay interest semiannually. <image 1> | The correct answer is $561.25 First, calculate the semiannual coupon payment: 60 Next, calculate the number of semiannual periods until maturity: 20 years * 2 = 40 periods Then, calculate the present value of the bond's future cash flows using the semiannual yield to maturity of 6%: 60 / (1 + 0.06)^2 + ... + 1000 / (1 + 0.06)^40 = $561.25 Difficulty: Hard Subfield: Managerial Finance |
{ "id": "gen-nPojOWGn7i28biE0oBB041a6DBMb", "model": "google/gemini-pro-vision", "choices": [ { "message": { "role": "assistant", "content": " The correct answer is $561.25\n\nFirst, calculate the semiannual coupon payment:\n$1000 * 12% / 2 = $60\n\nNext, calculate the number of semiannual periods until maturity:\n20 years * 2 = 40 periods\n\nThen, calculate the present value of the bond's future cash flows using the semiannual yield to maturity of 6%:\n$60 / (1 + 0.06)^1 + $60 / (1 + 0.06)^2 + ... + $60 / (1 + 0.06)^40 + $1000 / (1 + 0.06)^40 = $561.25" }, "finish_reason": "STOP" } ], "object": "chat.completion", "created": 1708561984, "usage": { "prompt_tokens": 1140, "completion_tokens": 668, "total_tokens": 1808 } }